Solve 1/8+0.025/0.93+0.3/0.58+0.01/0.93+frac{0.002}{0.7}+frac{1}{24}+frac{0.03}{0.044}

$$\frac{ 1 }{ 8 } + \frac{ 0.025 }{ 0.93 } + \frac{ 0.3 }{ 0.58 } + \frac{ 0.01 }{ 0.93 } + \frac{ 0.002 }{ 0.7 } + \frac{ 1 }{ 24 } + \frac{ 0.03 }{ 0.044 }$$

Evaluate

$$\frac{7300696}{5191725}\approx 1.406217779$$

Solution Steps

Expand \frac{0.025}{0.93} by multiplying both numerator and the denominator by 1000.

$$\frac{1}{8}+\frac{25}{930}+\frac{0.3}{0.58}+\frac{0.01}{0.93}+\frac{0.002}{0.7}+\frac{1}{24}+\frac{0.03}{0.044}$$

Reduce the fraction \frac{25}{930} to lowest terms by extracting and canceling out 5.

$$\frac{1}{8}+\frac{5}{186}+\frac{0.3}{0.58}+\frac{0.01}{0.93}+\frac{0.002}{0.7}+\frac{1}{24}+\frac{0.03}{0.044}$$

Least common multiple of 8 and 186 is 744. Convert \frac{1}{8} and \frac{5}{186} to fractions with denominator 744.

$$\frac{93}{744}+\frac{20}{744}+\frac{0.3}{0.58}+\frac{0.01}{0.93}+\frac{0.002}{0.7}+\frac{1}{24}+\frac{0.03}{0.044}$$

Since \frac{93}{744} and \frac{20}{744} have the same denominator, add them by adding their numerators.

$$\frac{93+20}{744}+\frac{0.3}{0.58}+\frac{0.01}{0.93}+\frac{0.002}{0.7}+\frac{1}{24}+\frac{0.03}{0.044}$$

Add 93 and 20 to get 113.

$$\frac{113}{744}+\frac{0.3}{0.58}+\frac{0.01}{0.93}+\frac{0.002}{0.7}+\frac{1}{24}+\frac{0.03}{0.044}$$

Expand \frac{0.3}{0.58} by multiplying both numerator and the denominator by 100.

$$\frac{113}{744}+\frac{30}{58}+\frac{0.01}{0.93}+\frac{0.002}{0.7}+\frac{1}{24}+\frac{0.03}{0.044}$$

Reduce the fraction \frac{30}{58} to lowest terms by extracting and canceling out 2.

$$\frac{113}{744}+\frac{15}{29}+\frac{0.01}{0.93}+\frac{0.002}{0.7}+\frac{1}{24}+\frac{0.03}{0.044}$$

Least common multiple of 744 and 29 is 21576. Convert \frac{113}{744} and \frac{15}{29} to fractions with denominator 21576.

$$\frac{3277}{21576}+\frac{11160}{21576}+\frac{0.01}{0.93}+\frac{0.002}{0.7}+\frac{1}{24}+\frac{0.03}{0.044}$$

Since \frac{3277}{21576} and \frac{11160}{21576} have the same denominator, add them by adding their numerators.

$$\frac{3277+11160}{21576}+\frac{0.01}{0.93}+\frac{0.002}{0.7}+\frac{1}{24}+\frac{0.03}{0.044}$$

Add 3277 and 11160 to get 14437.

$$\frac{14437}{21576}+\frac{0.01}{0.93}+\frac{0.002}{0.7}+\frac{1}{24}+\frac{0.03}{0.044}$$

Expand \frac{0.01}{0.93} by multiplying both numerator and the denominator by 100.

$$\frac{14437}{21576}+\frac{1}{93}+\frac{0.002}{0.7}+\frac{1}{24}+\frac{0.03}{0.044}$$

Least common multiple of 21576 and 93 is 21576. Convert \frac{14437}{21576} and \frac{1}{93} to fractions with denominator 21576.

$$\frac{14437}{21576}+\frac{232}{21576}+\frac{0.002}{0.7}+\frac{1}{24}+\frac{0.03}{0.044}$$

Since \frac{14437}{21576} and \frac{232}{21576} have the same denominator, add them by adding their numerators.

$$\frac{14437+232}{21576}+\frac{0.002}{0.7}+\frac{1}{24}+\frac{0.03}{0.044}$$

Add 14437 and 232 to get 14669.

$$\frac{14669}{21576}+\frac{0.002}{0.7}+\frac{1}{24}+\frac{0.03}{0.044}$$

Expand \frac{0.002}{0.7} by multiplying both numerator and the denominator by 1000.

$$\frac{14669}{21576}+\frac{2}{700}+\frac{1}{24}+\frac{0.03}{0.044}$$

Reduce the fraction \frac{2}{700} to lowest terms by extracting and canceling out 2.

$$\frac{14669}{21576}+\frac{1}{350}+\frac{1}{24}+\frac{0.03}{0.044}$$

Least common multiple of 21576 and 350 is 3775800. Convert \frac{14669}{21576} and \frac{1}{350} to fractions with denominator 3775800.

$$\frac{2567075}{3775800}+\frac{10788}{3775800}+\frac{1}{24}+\frac{0.03}{0.044}$$

Since \frac{2567075}{3775800} and \frac{10788}{3775800} have the same denominator, add them by adding their numerators.

$$\frac{2567075+10788}{3775800}+\frac{1}{24}+\frac{0.03}{0.044}$$

Add 2567075 and 10788 to get 2577863.

$$\frac{2577863}{3775800}+\frac{1}{24}+\frac{0.03}{0.044}$$

Least common multiple of 3775800 and 24 is 3775800. Convert \frac{2577863}{3775800} and \frac{1}{24} to fractions with denominator 3775800.

$$\frac{2577863}{3775800}+\frac{157325}{3775800}+\frac{0.03}{0.044}$$

Since \frac{2577863}{3775800} and \frac{157325}{3775800} have the same denominator, add them by adding their numerators.

$$\frac{2577863+157325}{3775800}+\frac{0.03}{0.044}$$

Add 2577863 and 157325 to get 2735188.

$$\frac{2735188}{3775800}+\frac{0.03}{0.044}$$

Reduce the fraction \frac{2735188}{3775800} to lowest terms by extracting and canceling out 4.

$$\frac{683797}{943950}+\frac{0.03}{0.044}$$

Expand \frac{0.03}{0.044} by multiplying both numerator and the denominator by 1000.

$$\frac{683797}{943950}+\frac{30}{44}$$

Reduce the fraction \frac{30}{44} to lowest terms by extracting and canceling out 2.

$$\frac{683797}{943950}+\frac{15}{22}$$

Least common multiple of 943950 and 22 is 10383450. Convert \frac{683797}{943950} and \frac{15}{22} to fractions with denominator 10383450.

$$\frac{7521767}{10383450}+\frac{7079625}{10383450}$$

Since \frac{7521767}{10383450} and \frac{7079625}{10383450} have the same denominator, add them by adding their numerators.

$$\frac{7521767+7079625}{10383450}$$

Add 7521767 and 7079625 to get 14601392.

$$\frac{14601392}{10383450}$$

Reduce the fraction \frac{14601392}{10383450} to lowest terms by extracting and canceling out 2.

$$\frac{7300696}{5191725}$$

Factor

$$\frac{13 \cdot 70199 \cdot 2 ^ {3}}{3 \cdot 7 \cdot 11 \cdot 29 \cdot 31 \cdot 5 ^ {2}} = 1\frac{2108971}{5191725} = 1.4062177792544868$$