Solve 5/16+4/5+5/24+3/4+5/8+7/15=

$$5 / 16 + 4 / 5 + 5 / 24 + 3 / 4 + 5 / 8 + 7 / 15 =$$

Evaluate

$$\frac{253}{80}=3.1625$$

Solution Steps

Least common multiple of 16 and 5 is 80. Convert \frac{5}{16} and \frac{4}{5} to fractions with denominator 80.

$$\frac{25}{80}+\frac{64}{80}+\frac{5}{24}+\frac{3}{4}+\frac{5}{8}+\frac{7}{15}$$

Since \frac{25}{80} and \frac{64}{80} have the same denominator, add them by adding their numerators.

$$\frac{25+64}{80}+\frac{5}{24}+\frac{3}{4}+\frac{5}{8}+\frac{7}{15}$$

Add 25 and 64 to get 89.

$$\frac{89}{80}+\frac{5}{24}+\frac{3}{4}+\frac{5}{8}+\frac{7}{15}$$

Least common multiple of 80 and 24 is 240. Convert \frac{89}{80} and \frac{5}{24} to fractions with denominator 240.

$$\frac{267}{240}+\frac{50}{240}+\frac{3}{4}+\frac{5}{8}+\frac{7}{15}$$

Since \frac{267}{240} and \frac{50}{240} have the same denominator, add them by adding their numerators.

$$\frac{267+50}{240}+\frac{3}{4}+\frac{5}{8}+\frac{7}{15}$$

Add 267 and 50 to get 317.

$$\frac{317}{240}+\frac{3}{4}+\frac{5}{8}+\frac{7}{15}$$

Least common multiple of 240 and 4 is 240. Convert \frac{317}{240} and \frac{3}{4} to fractions with denominator 240.

$$\frac{317}{240}+\frac{180}{240}+\frac{5}{8}+\frac{7}{15}$$

Since \frac{317}{240} and \frac{180}{240} have the same denominator, add them by adding their numerators.

$$\frac{317+180}{240}+\frac{5}{8}+\frac{7}{15}$$

Add 317 and 180 to get 497.

$$\frac{497}{240}+\frac{5}{8}+\frac{7}{15}$$

Least common multiple of 240 and 8 is 240. Convert \frac{497}{240} and \frac{5}{8} to fractions with denominator 240.

$$\frac{497}{240}+\frac{150}{240}+\frac{7}{15}$$

Since \frac{497}{240} and \frac{150}{240} have the same denominator, add them by adding their numerators.

$$\frac{497+150}{240}+\frac{7}{15}$$

Add 497 and 150 to get 647.

$$\frac{647}{240}+\frac{7}{15}$$

Least common multiple of 240 and 15 is 240. Convert \frac{647}{240} and \frac{7}{15} to fractions with denominator 240.

$$\frac{647}{240}+\frac{112}{240}$$

Since \frac{647}{240} and \frac{112}{240} have the same denominator, add them by adding their numerators.

$$\frac{647+112}{240}$$

Add 647 and 112 to get 759.

$$\frac{759}{240}$$

Reduce the fraction \frac{759}{240} to lowest terms by extracting and canceling out 3.

$$\frac{253}{80}$$

Factor

$$\frac{11 \cdot 23}{2 ^ {4} \cdot 5} = 3\frac{13}{80} = 3.1625$$