Solve (1.9div3)+0.6+0.85+0.75+2+2+1.5+0.94+2.5+1+(0.8div3)+1.75+1.5+0.79+0.5+0.28+(8div3)+0.89=

$$(1.9 \div 3)+0.6+0.85+0.75+2+2+1.5+0.94+2.5+1+(0.8 \div 3)+1.75+1.5+0.79+0.5+0.28+(8 \div 3)+0.89=$$

Evaluate

$$\frac{257}{12}\approx 21.416666667$$

Solution Steps

Expand \frac{1.9}{3} by multiplying both numerator and the denominator by 10.

$$\frac{19}{30}+0.6+0.85+0.75+2+2+1.5+0.94+2.5+1+\frac{0.8}{3}+1.75+1.5+0.79+0.5+0.28+\frac{8}{3}+0.89$$

Convert decimal number 0.6 to fraction \frac{6}{10}. Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.

$$\frac{19}{30}+\frac{3}{5}+0.85+0.75+2+2+1.5+0.94+2.5+1+\frac{0.8}{3}+1.75+1.5+0.79+0.5+0.28+\frac{8}{3}+0.89$$

Least common multiple of 30 and 5 is 30. Convert \frac{19}{30} and \frac{3}{5} to fractions with denominator 30.

$$\frac{19}{30}+\frac{18}{30}+0.85+0.75+2+2+1.5+0.94+2.5+1+\frac{0.8}{3}+1.75+1.5+0.79+0.5+0.28+\frac{8}{3}+0.89$$

Since \frac{19}{30} and \frac{18}{30} have the same denominator, add them by adding their numerators.

$$\frac{19+18}{30}+0.85+0.75+2+2+1.5+0.94+2.5+1+\frac{0.8}{3}+1.75+1.5+0.79+0.5+0.28+\frac{8}{3}+0.89$$

Add 19 and 18 to get 37.

$$\frac{37}{30}+0.85+0.75+2+2+1.5+0.94+2.5+1+\frac{0.8}{3}+1.75+1.5+0.79+0.5+0.28+\frac{8}{3}+0.89$$

Convert decimal number 0.85 to fraction \frac{85}{100}. Reduce the fraction \frac{85}{100} to lowest terms by extracting and canceling out 5.

$$\frac{37}{30}+\frac{17}{20}+0.75+2+2+1.5+0.94+2.5+1+\frac{0.8}{3}+1.75+1.5+0.79+0.5+0.28+\frac{8}{3}+0.89$$

Least common multiple of 30 and 20 is 60. Convert \frac{37}{30} and \frac{17}{20} to fractions with denominator 60.

$$\frac{74}{60}+\frac{51}{60}+0.75+2+2+1.5+0.94+2.5+1+\frac{0.8}{3}+1.75+1.5+0.79+0.5+0.28+\frac{8}{3}+0.89$$

Since \frac{74}{60} and \frac{51}{60} have the same denominator, add them by adding their numerators.

$$\frac{74+51}{60}+0.75+2+2+1.5+0.94+2.5+1+\frac{0.8}{3}+1.75+1.5+0.79+0.5+0.28+\frac{8}{3}+0.89$$

Add 74 and 51 to get 125.

$$\frac{125}{60}+0.75+2+2+1.5+0.94+2.5+1+\frac{0.8}{3}+1.75+1.5+0.79+0.5+0.28+\frac{8}{3}+0.89$$

Reduce the fraction \frac{125}{60} to lowest terms by extracting and canceling out 5.

$$\frac{25}{12}+0.75+2+2+1.5+0.94+2.5+1+\frac{0.8}{3}+1.75+1.5+0.79+0.5+0.28+\frac{8}{3}+0.89$$

Convert decimal number 0.75 to fraction \frac{75}{100}. Reduce the fraction \frac{75}{100} to lowest terms by extracting and canceling out 25.

$$\frac{25}{12}+\frac{3}{4}+2+2+1.5+0.94+2.5+1+\frac{0.8}{3}+1.75+1.5+0.79+0.5+0.28+\frac{8}{3}+0.89$$

Least common multiple of 12 and 4 is 12. Convert \frac{25}{12} and \frac{3}{4} to fractions with denominator 12.

$$\frac{25}{12}+\frac{9}{12}+2+2+1.5+0.94+2.5+1+\frac{0.8}{3}+1.75+1.5+0.79+0.5+0.28+\frac{8}{3}+0.89$$

Since \frac{25}{12} and \frac{9}{12} have the same denominator, add them by adding their numerators.

$$\frac{25+9}{12}+2+2+1.5+0.94+2.5+1+\frac{0.8}{3}+1.75+1.5+0.79+0.5+0.28+\frac{8}{3}+0.89$$

Add 25 and 9 to get 34.

$$\frac{34}{12}+2+2+1.5+0.94+2.5+1+\frac{0.8}{3}+1.75+1.5+0.79+0.5+0.28+\frac{8}{3}+0.89$$

Reduce the fraction \frac{34}{12} to lowest terms by extracting and canceling out 2.

$$\frac{17}{6}+2+2+1.5+0.94+2.5+1+\frac{0.8}{3}+1.75+1.5+0.79+0.5+0.28+\frac{8}{3}+0.89$$

Convert 2 to fraction \frac{12}{6}.

$$\frac{17}{6}+\frac{12}{6}+2+1.5+0.94+2.5+1+\frac{0.8}{3}+1.75+1.5+0.79+0.5+0.28+\frac{8}{3}+0.89$$

Since \frac{17}{6} and \frac{12}{6} have the same denominator, add them by adding their numerators.

$$\frac{17+12}{6}+2+1.5+0.94+2.5+1+\frac{0.8}{3}+1.75+1.5+0.79+0.5+0.28+\frac{8}{3}+0.89$$

Add 17 and 12 to get 29.

$$\frac{29}{6}+2+1.5+0.94+2.5+1+\frac{0.8}{3}+1.75+1.5+0.79+0.5+0.28+\frac{8}{3}+0.89$$

Convert 2 to fraction \frac{12}{6}.

$$\frac{29}{6}+\frac{12}{6}+1.5+0.94+2.5+1+\frac{0.8}{3}+1.75+1.5+0.79+0.5+0.28+\frac{8}{3}+0.89$$

Since \frac{29}{6} and \frac{12}{6} have the same denominator, add them by adding their numerators.

$$\frac{29+12}{6}+1.5+0.94+2.5+1+\frac{0.8}{3}+1.75+1.5+0.79+0.5+0.28+\frac{8}{3}+0.89$$

Add 29 and 12 to get 41.

$$\frac{41}{6}+1.5+0.94+2.5+1+\frac{0.8}{3}+1.75+1.5+0.79+0.5+0.28+\frac{8}{3}+0.89$$

Convert decimal number 1.5 to fraction \frac{15}{10}. Reduce the fraction \frac{15}{10} to lowest terms by extracting and canceling out 5.

$$\frac{41}{6}+\frac{3}{2}+0.94+2.5+1+\frac{0.8}{3}+1.75+1.5+0.79+0.5+0.28+\frac{8}{3}+0.89$$

Least common multiple of 6 and 2 is 6. Convert \frac{41}{6} and \frac{3}{2} to fractions with denominator 6.

$$\frac{41}{6}+\frac{9}{6}+0.94+2.5+1+\frac{0.8}{3}+1.75+1.5+0.79+0.5+0.28+\frac{8}{3}+0.89$$

Since \frac{41}{6} and \frac{9}{6} have the same denominator, add them by adding their numerators.

$$\frac{41+9}{6}+0.94+2.5+1+\frac{0.8}{3}+1.75+1.5+0.79+0.5+0.28+\frac{8}{3}+0.89$$

Add 41 and 9 to get 50.

$$\frac{50}{6}+0.94+2.5+1+\frac{0.8}{3}+1.75+1.5+0.79+0.5+0.28+\frac{8}{3}+0.89$$

Reduce the fraction \frac{50}{6} to lowest terms by extracting and canceling out 2.

$$\frac{25}{3}+0.94+2.5+1+\frac{0.8}{3}+1.75+1.5+0.79+0.5+0.28+\frac{8}{3}+0.89$$

Convert decimal number 0.94 to fraction \frac{94}{100}. Reduce the fraction \frac{94}{100} to lowest terms by extracting and canceling out 2.

$$\frac{25}{3}+\frac{47}{50}+2.5+1+\frac{0.8}{3}+1.75+1.5+0.79+0.5+0.28+\frac{8}{3}+0.89$$

Least common multiple of 3 and 50 is 150. Convert \frac{25}{3} and \frac{47}{50} to fractions with denominator 150.

$$\frac{1250}{150}+\frac{141}{150}+2.5+1+\frac{0.8}{3}+1.75+1.5+0.79+0.5+0.28+\frac{8}{3}+0.89$$

Since \frac{1250}{150} and \frac{141}{150} have the same denominator, add them by adding their numerators.

$$\frac{1250+141}{150}+2.5+1+\frac{0.8}{3}+1.75+1.5+0.79+0.5+0.28+\frac{8}{3}+0.89$$

Add 1250 and 141 to get 1391.

$$\frac{1391}{150}+2.5+1+\frac{0.8}{3}+1.75+1.5+0.79+0.5+0.28+\frac{8}{3}+0.89$$

Convert decimal number 2.5 to fraction \frac{25}{10}. Reduce the fraction \frac{25}{10} to lowest terms by extracting and canceling out 5.

$$\frac{1391}{150}+\frac{5}{2}+1+\frac{0.8}{3}+1.75+1.5+0.79+0.5+0.28+\frac{8}{3}+0.89$$

Least common multiple of 150 and 2 is 150. Convert \frac{1391}{150} and \frac{5}{2} to fractions with denominator 150.

$$\frac{1391}{150}+\frac{375}{150}+1+\frac{0.8}{3}+1.75+1.5+0.79+0.5+0.28+\frac{8}{3}+0.89$$

Since \frac{1391}{150} and \frac{375}{150} have the same denominator, add them by adding their numerators.

$$\frac{1391+375}{150}+1+\frac{0.8}{3}+1.75+1.5+0.79+0.5+0.28+\frac{8}{3}+0.89$$

Add 1391 and 375 to get 1766.

$$\frac{1766}{150}+1+\frac{0.8}{3}+1.75+1.5+0.79+0.5+0.28+\frac{8}{3}+0.89$$

Reduce the fraction \frac{1766}{150} to lowest terms by extracting and canceling out 2.

$$\frac{883}{75}+1+\frac{0.8}{3}+1.75+1.5+0.79+0.5+0.28+\frac{8}{3}+0.89$$

Convert 1 to fraction \frac{75}{75}.

$$\frac{883}{75}+\frac{75}{75}+\frac{0.8}{3}+1.75+1.5+0.79+0.5+0.28+\frac{8}{3}+0.89$$

Since \frac{883}{75} and \frac{75}{75} have the same denominator, add them by adding their numerators.

$$\frac{883+75}{75}+\frac{0.8}{3}+1.75+1.5+0.79+0.5+0.28+\frac{8}{3}+0.89$$

Add 883 and 75 to get 958.

$$\frac{958}{75}+\frac{0.8}{3}+1.75+1.5+0.79+0.5+0.28+\frac{8}{3}+0.89$$

Expand \frac{0.8}{3} by multiplying both numerator and the denominator by 10.

$$\frac{958}{75}+\frac{8}{30}+1.75+1.5+0.79+0.5+0.28+\frac{8}{3}+0.89$$

Reduce the fraction \frac{8}{30} to lowest terms by extracting and canceling out 2.

$$\frac{958}{75}+\frac{4}{15}+1.75+1.5+0.79+0.5+0.28+\frac{8}{3}+0.89$$

Least common multiple of 75 and 15 is 75. Convert \frac{958}{75} and \frac{4}{15} to fractions with denominator 75.

$$\frac{958}{75}+\frac{20}{75}+1.75+1.5+0.79+0.5+0.28+\frac{8}{3}+0.89$$

Since \frac{958}{75} and \frac{20}{75} have the same denominator, add them by adding their numerators.

$$\frac{958+20}{75}+1.75+1.5+0.79+0.5+0.28+\frac{8}{3}+0.89$$

Add 958 and 20 to get 978.

$$\frac{978}{75}+1.75+1.5+0.79+0.5+0.28+\frac{8}{3}+0.89$$

Reduce the fraction \frac{978}{75} to lowest terms by extracting and canceling out 3.

$$\frac{326}{25}+1.75+1.5+0.79+0.5+0.28+\frac{8}{3}+0.89$$

Convert decimal number 1.75 to fraction \frac{175}{100}. Reduce the fraction \frac{175}{100} to lowest terms by extracting and canceling out 25.

$$\frac{326}{25}+\frac{7}{4}+1.5+0.79+0.5+0.28+\frac{8}{3}+0.89$$

Least common multiple of 25 and 4 is 100. Convert \frac{326}{25} and \frac{7}{4} to fractions with denominator 100.

$$\frac{1304}{100}+\frac{175}{100}+1.5+0.79+0.5+0.28+\frac{8}{3}+0.89$$

Since \frac{1304}{100} and \frac{175}{100} have the same denominator, add them by adding their numerators.

$$\frac{1304+175}{100}+1.5+0.79+0.5+0.28+\frac{8}{3}+0.89$$

Add 1304 and 175 to get 1479.

$$\frac{1479}{100}+1.5+0.79+0.5+0.28+\frac{8}{3}+0.89$$

Convert decimal number 1.5 to fraction \frac{15}{10}. Reduce the fraction \frac{15}{10} to lowest terms by extracting and canceling out 5.

$$\frac{1479}{100}+\frac{3}{2}+0.79+0.5+0.28+\frac{8}{3}+0.89$$

Least common multiple of 100 and 2 is 100. Convert \frac{1479}{100} and \frac{3}{2} to fractions with denominator 100.

$$\frac{1479}{100}+\frac{150}{100}+0.79+0.5+0.28+\frac{8}{3}+0.89$$

Since \frac{1479}{100} and \frac{150}{100} have the same denominator, add them by adding their numerators.

$$\frac{1479+150}{100}+0.79+0.5+0.28+\frac{8}{3}+0.89$$

Add 1479 and 150 to get 1629.

$$\frac{1629}{100}+0.79+0.5+0.28+\frac{8}{3}+0.89$$

Convert decimal number 0.79 to fraction \frac{79}{100}.

$$\frac{1629}{100}+\frac{79}{100}+0.5+0.28+\frac{8}{3}+0.89$$

Since \frac{1629}{100} and \frac{79}{100} have the same denominator, add them by adding their numerators.

$$\frac{1629+79}{100}+0.5+0.28+\frac{8}{3}+0.89$$

Add 1629 and 79 to get 1708.

$$\frac{1708}{100}+0.5+0.28+\frac{8}{3}+0.89$$

Reduce the fraction \frac{1708}{100} to lowest terms by extracting and canceling out 4.

$$\frac{427}{25}+0.5+0.28+\frac{8}{3}+0.89$$

Convert decimal number 0.5 to fraction \frac{5}{10}. Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$\frac{427}{25}+\frac{1}{2}+0.28+\frac{8}{3}+0.89$$

Least common multiple of 25 and 2 is 50. Convert \frac{427}{25} and \frac{1}{2} to fractions with denominator 50.

$$\frac{854}{50}+\frac{25}{50}+0.28+\frac{8}{3}+0.89$$

Since \frac{854}{50} and \frac{25}{50} have the same denominator, add them by adding their numerators.

$$\frac{854+25}{50}+0.28+\frac{8}{3}+0.89$$

Add 854 and 25 to get 879.

$$\frac{879}{50}+0.28+\frac{8}{3}+0.89$$

Convert decimal number 0.28 to fraction \frac{28}{100}. Reduce the fraction \frac{28}{100} to lowest terms by extracting and canceling out 4.

$$\frac{879}{50}+\frac{7}{25}+\frac{8}{3}+0.89$$

Least common multiple of 50 and 25 is 50. Convert \frac{879}{50} and \frac{7}{25} to fractions with denominator 50.

$$\frac{879}{50}+\frac{14}{50}+\frac{8}{3}+0.89$$

Since \frac{879}{50} and \frac{14}{50} have the same denominator, add them by adding their numerators.

$$\frac{879+14}{50}+\frac{8}{3}+0.89$$

Add 879 and 14 to get 893.

$$\frac{893}{50}+\frac{8}{3}+0.89$$

Least common multiple of 50 and 3 is 150. Convert \frac{893}{50} and \frac{8}{3} to fractions with denominator 150.

$$\frac{2679}{150}+\frac{400}{150}+0.89$$

Since \frac{2679}{150} and \frac{400}{150} have the same denominator, add them by adding their numerators.

$$\frac{2679+400}{150}+0.89$$

Add 2679 and 400 to get 3079.

$$\frac{3079}{150}+0.89$$

Convert decimal number 0.89 to fraction \frac{89}{100}.

$$\frac{3079}{150}+\frac{89}{100}$$

Least common multiple of 150 and 100 is 300. Convert \frac{3079}{150} and \frac{89}{100} to fractions with denominator 300.

$$\frac{6158}{300}+\frac{267}{300}$$

Since \frac{6158}{300} and \frac{267}{300} have the same denominator, add them by adding their numerators.

$$\frac{6158+267}{300}$$

Add 6158 and 267 to get 6425.

$$\frac{6425}{300}$$

Reduce the fraction \frac{6425}{300} to lowest terms by extracting and canceling out 25.

$$\frac{257}{12}$$

Factor

$$\frac{257}{3 \cdot 2 ^ {2}} = 21\frac{5}{12} = 21.416666666666668$$