Solve 7%*8%+9%-10%div11%*12%div13%*14%-15%+16%div17%+18%+19%-20%div21%div22%div23%div24%+25%*1001%*1002%

$$7 \% \times 8 \% +9 \% -10 \% \div 11 \% \times 12 \% \div 13 \% \times 14 \% -15 \% +16 \% \div 17 \% +18 \% +19 \% -20 \% \div 21 \% \div 22 \% \div 23 \% \div 24 \% +25 \% \times 1001 \% \times 1002 \%$$

Evaluate

$$-\frac{3678189507053}{70450380000}\approx -52.209647514$$

Solution Steps

Reduce the fraction \frac{8}{100} to lowest terms by extracting and canceling out 4.

$$\frac{7}{100}\times \frac{2}{25}+\frac{9}{100}-\frac{\frac{\frac{10}{100}}{\frac{11}{100}}\times \frac{12}{100}}{\frac{13}{100}}\times \frac{14}{100}-\frac{15}{100}+\frac{\frac{16}{100}}{\frac{17}{100}}+\frac{18}{100}+\frac{19}{100}-\frac{\frac{\frac{\frac{\frac{20}{100}}{\frac{21}{100}}}{\frac{22}{100}}}{\frac{23}{100}}}{\frac{24}{100}}+\frac{25}{100}\times \frac{1001}{100}\times \frac{1002}{100}$$

Multiply \frac{7}{100} times \frac{2}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 2}{100\times 25}+\frac{9}{100}-\frac{\frac{\frac{10}{100}}{\frac{11}{100}}\times \frac{12}{100}}{\frac{13}{100}}\times \frac{14}{100}-\frac{15}{100}+\frac{\frac{16}{100}}{\frac{17}{100}}+\frac{18}{100}+\frac{19}{100}-\frac{\frac{\frac{\frac{\frac{20}{100}}{\frac{21}{100}}}{\frac{22}{100}}}{\frac{23}{100}}}{\frac{24}{100}}+\frac{25}{100}\times \frac{1001}{100}\times \frac{1002}{100}$$

Do the multiplications in the fraction \frac{7\times 2}{100\times 25}.

$$\frac{14}{2500}+\frac{9}{100}-\frac{\frac{\frac{10}{100}}{\frac{11}{100}}\times \frac{12}{100}}{\frac{13}{100}}\times \frac{14}{100}-\frac{15}{100}+\frac{\frac{16}{100}}{\frac{17}{100}}+\frac{18}{100}+\frac{19}{100}-\frac{\frac{\frac{\frac{\frac{20}{100}}{\frac{21}{100}}}{\frac{22}{100}}}{\frac{23}{100}}}{\frac{24}{100}}+\frac{25}{100}\times \frac{1001}{100}\times \frac{1002}{100}$$

Reduce the fraction \frac{14}{2500} to lowest terms by extracting and canceling out 2.

$$\frac{7}{1250}+\frac{9}{100}-\frac{\frac{\frac{10}{100}}{\frac{11}{100}}\times \frac{12}{100}}{\frac{13}{100}}\times \frac{14}{100}-\frac{15}{100}+\frac{\frac{16}{100}}{\frac{17}{100}}+\frac{18}{100}+\frac{19}{100}-\frac{\frac{\frac{\frac{\frac{20}{100}}{\frac{21}{100}}}{\frac{22}{100}}}{\frac{23}{100}}}{\frac{24}{100}}+\frac{25}{100}\times \frac{1001}{100}\times \frac{1002}{100}$$

Least common multiple of 1250 and 100 is 2500. Convert \frac{7}{1250} and \frac{9}{100} to fractions with denominator 2500.

$$\frac{14}{2500}+\frac{225}{2500}-\frac{\frac{\frac{10}{100}}{\frac{11}{100}}\times \frac{12}{100}}{\frac{13}{100}}\times \frac{14}{100}-\frac{15}{100}+\frac{\frac{16}{100}}{\frac{17}{100}}+\frac{18}{100}+\frac{19}{100}-\frac{\frac{\frac{\frac{\frac{20}{100}}{\frac{21}{100}}}{\frac{22}{100}}}{\frac{23}{100}}}{\frac{24}{100}}+\frac{25}{100}\times \frac{1001}{100}\times \frac{1002}{100}$$

Since \frac{14}{2500} and \frac{225}{2500} have the same denominator, add them by adding their numerators.

$$\frac{14+225}{2500}-\frac{\frac{\frac{10}{100}}{\frac{11}{100}}\times \frac{12}{100}}{\frac{13}{100}}\times \frac{14}{100}-\frac{15}{100}+\frac{\frac{16}{100}}{\frac{17}{100}}+\frac{18}{100}+\frac{19}{100}-\frac{\frac{\frac{\frac{\frac{20}{100}}{\frac{21}{100}}}{\frac{22}{100}}}{\frac{23}{100}}}{\frac{24}{100}}+\frac{25}{100}\times \frac{1001}{100}\times \frac{1002}{100}$$

Add 14 and 225 to get 239.

$$\frac{239}{2500}-\frac{\frac{\frac{10}{100}}{\frac{11}{100}}\times \frac{12}{100}}{\frac{13}{100}}\times \frac{14}{100}-\frac{15}{100}+\frac{\frac{16}{100}}{\frac{17}{100}}+\frac{18}{100}+\frac{19}{100}-\frac{\frac{\frac{\frac{\frac{20}{100}}{\frac{21}{100}}}{\frac{22}{100}}}{\frac{23}{100}}}{\frac{24}{100}}+\frac{25}{100}\times \frac{1001}{100}\times \frac{1002}{100}$$

Divide \frac{10}{100} by \frac{11}{100} by multiplying \frac{10}{100} by the reciprocal of \frac{11}{100}.

$$\frac{239}{2500}-\frac{\frac{10\times 100}{100\times 11}\times \frac{12}{100}}{\frac{13}{100}}\times \frac{14}{100}-\frac{15}{100}+\frac{\frac{16}{100}}{\frac{17}{100}}+\frac{18}{100}+\frac{19}{100}-\frac{\frac{\frac{\frac{\frac{20}{100}}{\frac{21}{100}}}{\frac{22}{100}}}{\frac{23}{100}}}{\frac{24}{100}}+\frac{25}{100}\times \frac{1001}{100}\times \frac{1002}{100}$$

Cancel out 10\times 10 in both numerator and denominator.

$$\frac{239}{2500}-\frac{\frac{10}{11}\times \frac{12}{100}}{\frac{13}{100}}\times \frac{14}{100}-\frac{15}{100}+\frac{\frac{16}{100}}{\frac{17}{100}}+\frac{18}{100}+\frac{19}{100}-\frac{\frac{\frac{\frac{\frac{20}{100}}{\frac{21}{100}}}{\frac{22}{100}}}{\frac{23}{100}}}{\frac{24}{100}}+\frac{25}{100}\times \frac{1001}{100}\times \frac{1002}{100}$$

Reduce the fraction \frac{12}{100} to lowest terms by extracting and canceling out 4.

$$\frac{239}{2500}-\frac{\frac{10}{11}\times \frac{3}{25}}{\frac{13}{100}}\times \frac{14}{100}-\frac{15}{100}+\frac{\frac{16}{100}}{\frac{17}{100}}+\frac{18}{100}+\frac{19}{100}-\frac{\frac{\frac{\frac{\frac{20}{100}}{\frac{21}{100}}}{\frac{22}{100}}}{\frac{23}{100}}}{\frac{24}{100}}+\frac{25}{100}\times \frac{1001}{100}\times \frac{1002}{100}$$

Multiply \frac{10}{11} times \frac{3}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{239}{2500}-\frac{\frac{10\times 3}{11\times 25}}{\frac{13}{100}}\times \frac{14}{100}-\frac{15}{100}+\frac{\frac{16}{100}}{\frac{17}{100}}+\frac{18}{100}+\frac{19}{100}-\frac{\frac{\frac{\frac{\frac{20}{100}}{\frac{21}{100}}}{\frac{22}{100}}}{\frac{23}{100}}}{\frac{24}{100}}+\frac{25}{100}\times \frac{1001}{100}\times \frac{1002}{100}$$

Do the multiplications in the fraction \frac{10\times 3}{11\times 25}.

$$\frac{239}{2500}-\frac{\frac{30}{275}}{\frac{13}{100}}\times \frac{14}{100}-\frac{15}{100}+\frac{\frac{16}{100}}{\frac{17}{100}}+\frac{18}{100}+\frac{19}{100}-\frac{\frac{\frac{\frac{\frac{20}{100}}{\frac{21}{100}}}{\frac{22}{100}}}{\frac{23}{100}}}{\frac{24}{100}}+\frac{25}{100}\times \frac{1001}{100}\times \frac{1002}{100}$$

Reduce the fraction \frac{30}{275} to lowest terms by extracting and canceling out 5.

$$\frac{239}{2500}-\frac{\frac{6}{55}}{\frac{13}{100}}\times \frac{14}{100}-\frac{15}{100}+\frac{\frac{16}{100}}{\frac{17}{100}}+\frac{18}{100}+\frac{19}{100}-\frac{\frac{\frac{\frac{\frac{20}{100}}{\frac{21}{100}}}{\frac{22}{100}}}{\frac{23}{100}}}{\frac{24}{100}}+\frac{25}{100}\times \frac{1001}{100}\times \frac{1002}{100}$$

Divide \frac{6}{55} by \frac{13}{100} by multiplying \frac{6}{55} by the reciprocal of \frac{13}{100}.

$$\frac{239}{2500}-\frac{6}{55}\times \frac{100}{13}\times \frac{14}{100}-\frac{15}{100}+\frac{\frac{16}{100}}{\frac{17}{100}}+\frac{18}{100}+\frac{19}{100}-\frac{\frac{\frac{\frac{\frac{20}{100}}{\frac{21}{100}}}{\frac{22}{100}}}{\frac{23}{100}}}{\frac{24}{100}}+\frac{25}{100}\times \frac{1001}{100}\times \frac{1002}{100}$$

Multiply \frac{6}{55} times \frac{100}{13} by multiplying numerator times numerator and denominator times denominator.

$$\frac{239}{2500}-\frac{6\times 100}{55\times 13}\times \frac{14}{100}-\frac{15}{100}+\frac{\frac{16}{100}}{\frac{17}{100}}+\frac{18}{100}+\frac{19}{100}-\frac{\frac{\frac{\frac{\frac{20}{100}}{\frac{21}{100}}}{\frac{22}{100}}}{\frac{23}{100}}}{\frac{24}{100}}+\frac{25}{100}\times \frac{1001}{100}\times \frac{1002}{100}$$

Do the multiplications in the fraction \frac{6\times 100}{55\times 13}.

$$\frac{239}{2500}-\frac{600}{715}\times \frac{14}{100}-\frac{15}{100}+\frac{\frac{16}{100}}{\frac{17}{100}}+\frac{18}{100}+\frac{19}{100}-\frac{\frac{\frac{\frac{\frac{20}{100}}{\frac{21}{100}}}{\frac{22}{100}}}{\frac{23}{100}}}{\frac{24}{100}}+\frac{25}{100}\times \frac{1001}{100}\times \frac{1002}{100}$$

Reduce the fraction \frac{600}{715} to lowest terms by extracting and canceling out 5.

$$\frac{239}{2500}-\frac{120}{143}\times \frac{14}{100}-\frac{15}{100}+\frac{\frac{16}{100}}{\frac{17}{100}}+\frac{18}{100}+\frac{19}{100}-\frac{\frac{\frac{\frac{\frac{20}{100}}{\frac{21}{100}}}{\frac{22}{100}}}{\frac{23}{100}}}{\frac{24}{100}}+\frac{25}{100}\times \frac{1001}{100}\times \frac{1002}{100}$$

Reduce the fraction \frac{14}{100} to lowest terms by extracting and canceling out 2.

$$\frac{239}{2500}-\frac{120}{143}\times \frac{7}{50}-\frac{15}{100}+\frac{\frac{16}{100}}{\frac{17}{100}}+\frac{18}{100}+\frac{19}{100}-\frac{\frac{\frac{\frac{\frac{20}{100}}{\frac{21}{100}}}{\frac{22}{100}}}{\frac{23}{100}}}{\frac{24}{100}}+\frac{25}{100}\times \frac{1001}{100}\times \frac{1002}{100}$$

Multiply \frac{120}{143} times \frac{7}{50} by multiplying numerator times numerator and denominator times denominator.

$$\frac{239}{2500}-\frac{120\times 7}{143\times 50}-\frac{15}{100}+\frac{\frac{16}{100}}{\frac{17}{100}}+\frac{18}{100}+\frac{19}{100}-\frac{\frac{\frac{\frac{\frac{20}{100}}{\frac{21}{100}}}{\frac{22}{100}}}{\frac{23}{100}}}{\frac{24}{100}}+\frac{25}{100}\times \frac{1001}{100}\times \frac{1002}{100}$$

Do the multiplications in the fraction \frac{120\times 7}{143\times 50}.

$$\frac{239}{2500}-\frac{840}{7150}-\frac{15}{100}+\frac{\frac{16}{100}}{\frac{17}{100}}+\frac{18}{100}+\frac{19}{100}-\frac{\frac{\frac{\frac{\frac{20}{100}}{\frac{21}{100}}}{\frac{22}{100}}}{\frac{23}{100}}}{\frac{24}{100}}+\frac{25}{100}\times \frac{1001}{100}\times \frac{1002}{100}$$

Reduce the fraction \frac{840}{7150} to lowest terms by extracting and canceling out 10.

$$\frac{239}{2500}-\frac{84}{715}-\frac{15}{100}+\frac{\frac{16}{100}}{\frac{17}{100}}+\frac{18}{100}+\frac{19}{100}-\frac{\frac{\frac{\frac{\frac{20}{100}}{\frac{21}{100}}}{\frac{22}{100}}}{\frac{23}{100}}}{\frac{24}{100}}+\frac{25}{100}\times \frac{1001}{100}\times \frac{1002}{100}$$

Least common multiple of 2500 and 715 is 357500. Convert \frac{239}{2500} and \frac{84}{715} to fractions with denominator 357500.

$$\frac{34177}{357500}-\frac{42000}{357500}-\frac{15}{100}+\frac{\frac{16}{100}}{\frac{17}{100}}+\frac{18}{100}+\frac{19}{100}-\frac{\frac{\frac{\frac{\frac{20}{100}}{\frac{21}{100}}}{\frac{22}{100}}}{\frac{23}{100}}}{\frac{24}{100}}+\frac{25}{100}\times \frac{1001}{100}\times \frac{1002}{100}$$

Since \frac{34177}{357500} and \frac{42000}{357500} have the same denominator, subtract them by subtracting their numerators.

$$\frac{34177-42000}{357500}-\frac{15}{100}+\frac{\frac{16}{100}}{\frac{17}{100}}+\frac{18}{100}+\frac{19}{100}-\frac{\frac{\frac{\frac{\frac{20}{100}}{\frac{21}{100}}}{\frac{22}{100}}}{\frac{23}{100}}}{\frac{24}{100}}+\frac{25}{100}\times \frac{1001}{100}\times \frac{1002}{100}$$

Subtract 42000 from 34177 to get -7823.

$$-\frac{7823}{357500}-\frac{15}{100}+\frac{\frac{16}{100}}{\frac{17}{100}}+\frac{18}{100}+\frac{19}{100}-\frac{\frac{\frac{\frac{\frac{20}{100}}{\frac{21}{100}}}{\frac{22}{100}}}{\frac{23}{100}}}{\frac{24}{100}}+\frac{25}{100}\times \frac{1001}{100}\times \frac{1002}{100}$$

Reduce the fraction \frac{15}{100} to lowest terms by extracting and canceling out 5.

$$-\frac{7823}{357500}-\frac{3}{20}+\frac{\frac{16}{100}}{\frac{17}{100}}+\frac{18}{100}+\frac{19}{100}-\frac{\frac{\frac{\frac{\frac{20}{100}}{\frac{21}{100}}}{\frac{22}{100}}}{\frac{23}{100}}}{\frac{24}{100}}+\frac{25}{100}\times \frac{1001}{100}\times \frac{1002}{100}$$

Least common multiple of 357500 and 20 is 357500. Convert -\frac{7823}{357500} and \frac{3}{20} to fractions with denominator 357500.

$$-\frac{7823}{357500}-\frac{53625}{357500}+\frac{\frac{16}{100}}{\frac{17}{100}}+\frac{18}{100}+\frac{19}{100}-\frac{\frac{\frac{\frac{\frac{20}{100}}{\frac{21}{100}}}{\frac{22}{100}}}{\frac{23}{100}}}{\frac{24}{100}}+\frac{25}{100}\times \frac{1001}{100}\times \frac{1002}{100}$$

Since -\frac{7823}{357500} and \frac{53625}{357500} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-7823-53625}{357500}+\frac{\frac{16}{100}}{\frac{17}{100}}+\frac{18}{100}+\frac{19}{100}-\frac{\frac{\frac{\frac{\frac{20}{100}}{\frac{21}{100}}}{\frac{22}{100}}}{\frac{23}{100}}}{\frac{24}{100}}+\frac{25}{100}\times \frac{1001}{100}\times \frac{1002}{100}$$

Subtract 53625 from -7823 to get -61448.

$$\frac{-61448}{357500}+\frac{\frac{16}{100}}{\frac{17}{100}}+\frac{18}{100}+\frac{19}{100}-\frac{\frac{\frac{\frac{\frac{20}{100}}{\frac{21}{100}}}{\frac{22}{100}}}{\frac{23}{100}}}{\frac{24}{100}}+\frac{25}{100}\times \frac{1001}{100}\times \frac{1002}{100}$$

Reduce the fraction \frac{-61448}{357500} to lowest terms by extracting and canceling out 4.

$$-\frac{15362}{89375}+\frac{\frac{16}{100}}{\frac{17}{100}}+\frac{18}{100}+\frac{19}{100}-\frac{\frac{\frac{\frac{\frac{20}{100}}{\frac{21}{100}}}{\frac{22}{100}}}{\frac{23}{100}}}{\frac{24}{100}}+\frac{25}{100}\times \frac{1001}{100}\times \frac{1002}{100}$$

Divide \frac{16}{100} by \frac{17}{100} by multiplying \frac{16}{100} by the reciprocal of \frac{17}{100}.

$$-\frac{15362}{89375}+\frac{16\times 100}{100\times 17}+\frac{18}{100}+\frac{19}{100}-\frac{\frac{\frac{\frac{\frac{20}{100}}{\frac{21}{100}}}{\frac{22}{100}}}{\frac{23}{100}}}{\frac{24}{100}}+\frac{25}{100}\times \frac{1001}{100}\times \frac{1002}{100}$$

Cancel out 4\times 25 in both numerator and denominator.

$$-\frac{15362}{89375}+\frac{4\times 4}{17}+\frac{18}{100}+\frac{19}{100}-\frac{\frac{\frac{\frac{\frac{20}{100}}{\frac{21}{100}}}{\frac{22}{100}}}{\frac{23}{100}}}{\frac{24}{100}}+\frac{25}{100}\times \frac{1001}{100}\times \frac{1002}{100}$$

Multiply 4 and 4 to get 16.

$$-\frac{15362}{89375}+\frac{16}{17}+\frac{18}{100}+\frac{19}{100}-\frac{\frac{\frac{\frac{\frac{20}{100}}{\frac{21}{100}}}{\frac{22}{100}}}{\frac{23}{100}}}{\frac{24}{100}}+\frac{25}{100}\times \frac{1001}{100}\times \frac{1002}{100}$$

Least common multiple of 89375 and 17 is 1519375. Convert -\frac{15362}{89375} and \frac{16}{17} to fractions with denominator 1519375.

$$-\frac{261154}{1519375}+\frac{1430000}{1519375}+\frac{18}{100}+\frac{19}{100}-\frac{\frac{\frac{\frac{\frac{20}{100}}{\frac{21}{100}}}{\frac{22}{100}}}{\frac{23}{100}}}{\frac{24}{100}}+\frac{25}{100}\times \frac{1001}{100}\times \frac{1002}{100}$$

Since -\frac{261154}{1519375} and \frac{1430000}{1519375} have the same denominator, add them by adding their numerators.

$$\frac{-261154+1430000}{1519375}+\frac{18}{100}+\frac{19}{100}-\frac{\frac{\frac{\frac{\frac{20}{100}}{\frac{21}{100}}}{\frac{22}{100}}}{\frac{23}{100}}}{\frac{24}{100}}+\frac{25}{100}\times \frac{1001}{100}\times \frac{1002}{100}$$

Add -261154 and 1430000 to get 1168846.

$$\frac{1168846}{1519375}+\frac{18}{100}+\frac{19}{100}-\frac{\frac{\frac{\frac{\frac{20}{100}}{\frac{21}{100}}}{\frac{22}{100}}}{\frac{23}{100}}}{\frac{24}{100}}+\frac{25}{100}\times \frac{1001}{100}\times \frac{1002}{100}$$

Reduce the fraction \frac{18}{100} to lowest terms by extracting and canceling out 2.

$$\frac{1168846}{1519375}+\frac{9}{50}+\frac{19}{100}-\frac{\frac{\frac{\frac{\frac{20}{100}}{\frac{21}{100}}}{\frac{22}{100}}}{\frac{23}{100}}}{\frac{24}{100}}+\frac{25}{100}\times \frac{1001}{100}\times \frac{1002}{100}$$

Least common multiple of 1519375 and 50 is 3038750. Convert \frac{1168846}{1519375} and \frac{9}{50} to fractions with denominator 3038750.

$$\frac{2337692}{3038750}+\frac{546975}{3038750}+\frac{19}{100}-\frac{\frac{\frac{\frac{\frac{20}{100}}{\frac{21}{100}}}{\frac{22}{100}}}{\frac{23}{100}}}{\frac{24}{100}}+\frac{25}{100}\times \frac{1001}{100}\times \frac{1002}{100}$$

Since \frac{2337692}{3038750} and \frac{546975}{3038750} have the same denominator, add them by adding their numerators.

$$\frac{2337692+546975}{3038750}+\frac{19}{100}-\frac{\frac{\frac{\frac{\frac{20}{100}}{\frac{21}{100}}}{\frac{22}{100}}}{\frac{23}{100}}}{\frac{24}{100}}+\frac{25}{100}\times \frac{1001}{100}\times \frac{1002}{100}$$

Add 2337692 and 546975 to get 2884667.

$$\frac{2884667}{3038750}+\frac{19}{100}-\frac{\frac{\frac{\frac{\frac{20}{100}}{\frac{21}{100}}}{\frac{22}{100}}}{\frac{23}{100}}}{\frac{24}{100}}+\frac{25}{100}\times \frac{1001}{100}\times \frac{1002}{100}$$

Least common multiple of 3038750 and 100 is 6077500. Convert \frac{2884667}{3038750} and \frac{19}{100} to fractions with denominator 6077500.

$$\frac{5769334}{6077500}+\frac{1154725}{6077500}-\frac{\frac{\frac{\frac{\frac{20}{100}}{\frac{21}{100}}}{\frac{22}{100}}}{\frac{23}{100}}}{\frac{24}{100}}+\frac{25}{100}\times \frac{1001}{100}\times \frac{1002}{100}$$

Since \frac{5769334}{6077500} and \frac{1154725}{6077500} have the same denominator, add them by adding their numerators.

$$\frac{5769334+1154725}{6077500}-\frac{\frac{\frac{\frac{\frac{20}{100}}{\frac{21}{100}}}{\frac{22}{100}}}{\frac{23}{100}}}{\frac{24}{100}}+\frac{25}{100}\times \frac{1001}{100}\times \frac{1002}{100}$$

Add 5769334 and 1154725 to get 6924059.

$$\frac{6924059}{6077500}-\frac{\frac{\frac{\frac{\frac{20}{100}}{\frac{21}{100}}}{\frac{22}{100}}}{\frac{23}{100}}}{\frac{24}{100}}+\frac{25}{100}\times \frac{1001}{100}\times \frac{1002}{100}$$

Divide \frac{\frac{\frac{\frac{20}{100}}{\frac{21}{100}}}{\frac{22}{100}}}{\frac{23}{100}} by \frac{24}{100} by multiplying \frac{\frac{\frac{\frac{20}{100}}{\frac{21}{100}}}{\frac{22}{100}}}{\frac{23}{100}} by the reciprocal of \frac{24}{100}.

$$\frac{6924059}{6077500}-\frac{\frac{\frac{\frac{20}{100}}{\frac{21}{100}}}{\frac{22}{100}}\times 100}{\frac{23}{100}\times 24}+\frac{25}{100}\times \frac{1001}{100}\times \frac{1002}{100}$$

Divide \frac{\frac{20}{100}}{\frac{21}{100}} by \frac{22}{100} by multiplying \frac{\frac{20}{100}}{\frac{21}{100}} by the reciprocal of \frac{22}{100}.

$$\frac{6924059}{6077500}-\frac{\frac{\frac{20}{100}\times 100}{\frac{21}{100}\times 22}\times 100}{\frac{23}{100}\times 24}+\frac{25}{100}\times \frac{1001}{100}\times \frac{1002}{100}$$

Reduce the fraction \frac{20}{100} to lowest terms by extracting and canceling out 20.

$$\frac{6924059}{6077500}-\frac{\frac{\frac{1}{5}\times 100}{\frac{21}{100}\times 22}\times 100}{\frac{23}{100}\times 24}+\frac{25}{100}\times \frac{1001}{100}\times \frac{1002}{100}$$

Multiply \frac{1}{5} and 100 to get \frac{100}{5}.

$$\frac{6924059}{6077500}-\frac{\frac{\frac{100}{5}}{\frac{21}{100}\times 22}\times 100}{\frac{23}{100}\times 24}+\frac{25}{100}\times \frac{1001}{100}\times \frac{1002}{100}$$

Divide 100 by 5 to get 20.

$$\frac{6924059}{6077500}-\frac{\frac{20}{\frac{21}{100}\times 22}\times 100}{\frac{23}{100}\times 24}+\frac{25}{100}\times \frac{1001}{100}\times \frac{1002}{100}$$

Express \frac{21}{100}\times 22 as a single fraction.

$$\frac{6924059}{6077500}-\frac{\frac{20}{\frac{21\times 22}{100}}\times 100}{\frac{23}{100}\times 24}+\frac{25}{100}\times \frac{1001}{100}\times \frac{1002}{100}$$

Multiply 21 and 22 to get 462.

$$\frac{6924059}{6077500}-\frac{\frac{20}{\frac{462}{100}}\times 100}{\frac{23}{100}\times 24}+\frac{25}{100}\times \frac{1001}{100}\times \frac{1002}{100}$$

Reduce the fraction \frac{462}{100} to lowest terms by extracting and canceling out 2.

$$\frac{6924059}{6077500}-\frac{\frac{20}{\frac{231}{50}}\times 100}{\frac{23}{100}\times 24}+\frac{25}{100}\times \frac{1001}{100}\times \frac{1002}{100}$$

Divide 20 by \frac{231}{50} by multiplying 20 by the reciprocal of \frac{231}{50}.

$$\frac{6924059}{6077500}-\frac{20\times \frac{50}{231}\times 100}{\frac{23}{100}\times 24}+\frac{25}{100}\times \frac{1001}{100}\times \frac{1002}{100}$$

Express 20\times \frac{50}{231} as a single fraction.

$$\frac{6924059}{6077500}-\frac{\frac{20\times 50}{231}\times 100}{\frac{23}{100}\times 24}+\frac{25}{100}\times \frac{1001}{100}\times \frac{1002}{100}$$

Multiply 20 and 50 to get 1000.

$$\frac{6924059}{6077500}-\frac{\frac{1000}{231}\times 100}{\frac{23}{100}\times 24}+\frac{25}{100}\times \frac{1001}{100}\times \frac{1002}{100}$$

Express \frac{1000}{231}\times 100 as a single fraction.

$$\frac{6924059}{6077500}-\frac{\frac{1000\times 100}{231}}{\frac{23}{100}\times 24}+\frac{25}{100}\times \frac{1001}{100}\times \frac{1002}{100}$$

Multiply 1000 and 100 to get 100000.

$$\frac{6924059}{6077500}-\frac{\frac{100000}{231}}{\frac{23}{100}\times 24}+\frac{25}{100}\times \frac{1001}{100}\times \frac{1002}{100}$$

Express \frac{23}{100}\times 24 as a single fraction.

$$\frac{6924059}{6077500}-\frac{\frac{100000}{231}}{\frac{23\times 24}{100}}+\frac{25}{100}\times \frac{1001}{100}\times \frac{1002}{100}$$

Multiply 23 and 24 to get 552.

$$\frac{6924059}{6077500}-\frac{\frac{100000}{231}}{\frac{552}{100}}+\frac{25}{100}\times \frac{1001}{100}\times \frac{1002}{100}$$

Reduce the fraction \frac{552}{100} to lowest terms by extracting and canceling out 4.

$$\frac{6924059}{6077500}-\frac{\frac{100000}{231}}{\frac{138}{25}}+\frac{25}{100}\times \frac{1001}{100}\times \frac{1002}{100}$$

Divide \frac{100000}{231} by \frac{138}{25} by multiplying \frac{100000}{231} by the reciprocal of \frac{138}{25}.

$$\frac{6924059}{6077500}-\frac{100000}{231}\times \frac{25}{138}+\frac{25}{100}\times \frac{1001}{100}\times \frac{1002}{100}$$

Multiply \frac{100000}{231} times \frac{25}{138} by multiplying numerator times numerator and denominator times denominator.

$$\frac{6924059}{6077500}-\frac{100000\times 25}{231\times 138}+\frac{25}{100}\times \frac{1001}{100}\times \frac{1002}{100}$$

Do the multiplications in the fraction \frac{100000\times 25}{231\times 138}.

$$\frac{6924059}{6077500}-\frac{2500000}{31878}+\frac{25}{100}\times \frac{1001}{100}\times \frac{1002}{100}$$

Reduce the fraction \frac{2500000}{31878} to lowest terms by extracting and canceling out 2.

$$\frac{6924059}{6077500}-\frac{1250000}{15939}+\frac{25}{100}\times \frac{1001}{100}\times \frac{1002}{100}$$

Least common multiple of 6077500 and 15939 is 8806297500. Convert \frac{6924059}{6077500} and \frac{1250000}{15939} to fractions with denominator 8806297500.

$$\frac{10032961491}{8806297500}-\frac{690625000000}{8806297500}+\frac{25}{100}\times \frac{1001}{100}\times \frac{1002}{100}$$

Since \frac{10032961491}{8806297500} and \frac{690625000000}{8806297500} have the same denominator, subtract them by subtracting their numerators.

$$\frac{10032961491-690625000000}{8806297500}+\frac{25}{100}\times \frac{1001}{100}\times \frac{1002}{100}$$

Subtract 690625000000 from 10032961491 to get -680592038509.

$$-\frac{680592038509}{8806297500}+\frac{25}{100}\times \frac{1001}{100}\times \frac{1002}{100}$$

Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.

$$-\frac{680592038509}{8806297500}+\frac{1}{4}\times \frac{1001}{100}\times \frac{1002}{100}$$

Multiply \frac{1}{4} times \frac{1001}{100} by multiplying numerator times numerator and denominator times denominator.

$$-\frac{680592038509}{8806297500}+\frac{1\times 1001}{4\times 100}\times \frac{1002}{100}$$

Do the multiplications in the fraction \frac{1\times 1001}{4\times 100}.

$$-\frac{680592038509}{8806297500}+\frac{1001}{400}\times \frac{1002}{100}$$

Reduce the fraction \frac{1002}{100} to lowest terms by extracting and canceling out 2.

$$-\frac{680592038509}{8806297500}+\frac{1001}{400}\times \frac{501}{50}$$

Multiply \frac{1001}{400} times \frac{501}{50} by multiplying numerator times numerator and denominator times denominator.

$$-\frac{680592038509}{8806297500}+\frac{1001\times 501}{400\times 50}$$

Do the multiplications in the fraction \frac{1001\times 501}{400\times 50}.

$$-\frac{680592038509}{8806297500}+\frac{501501}{20000}$$

Least common multiple of 8806297500 and 20000 is 70450380000. Convert -\frac{680592038509}{8806297500} and \frac{501501}{20000} to fractions with denominator 70450380000.

$$-\frac{5444736308072}{70450380000}+\frac{1766546801019}{70450380000}$$

Since -\frac{5444736308072}{70450380000} and \frac{1766546801019}{70450380000} have the same denominator, add them by adding their numerators.

$$\frac{-5444736308072+1766546801019}{70450380000}$$

Add -5444736308072 and 1766546801019 to get -3678189507053.

$$-\frac{3678189507053}{70450380000}$$

Factor

$$-\frac{3678189507053}{70450380000} = -52\frac{14769747053}{70450380000} = -52.20964751436401$$