Solve 211/24+17/15+313/24+28/15

$$2 \frac{ 11 }{ 24 } +1 \frac{ 7 }{ 15 } +3 \frac{ 13 }{ 24 } +2 \frac{ 8 }{ 15 }$$

Evaluate

$$10$$

Solution Steps

Multiply 2 and 24 to get 48.

$$\frac{48+11}{24}+\frac{1\times 15+7}{15}+\frac{3\times 24+13}{24}+\frac{2\times 15+8}{15}$$

Add 48 and 11 to get 59.

$$\frac{59}{24}+\frac{1\times 15+7}{15}+\frac{3\times 24+13}{24}+\frac{2\times 15+8}{15}$$

Multiply 1 and 15 to get 15.

$$\frac{59}{24}+\frac{15+7}{15}+\frac{3\times 24+13}{24}+\frac{2\times 15+8}{15}$$

Add 15 and 7 to get 22.

$$\frac{59}{24}+\frac{22}{15}+\frac{3\times 24+13}{24}+\frac{2\times 15+8}{15}$$

Least common multiple of 24 and 15 is 120. Convert \frac{59}{24} and \frac{22}{15} to fractions with denominator 120.

$$\frac{295}{120}+\frac{176}{120}+\frac{3\times 24+13}{24}+\frac{2\times 15+8}{15}$$

Since \frac{295}{120} and \frac{176}{120} have the same denominator, add them by adding their numerators.

$$\frac{295+176}{120}+\frac{3\times 24+13}{24}+\frac{2\times 15+8}{15}$$

Add 295 and 176 to get 471.

$$\frac{471}{120}+\frac{3\times 24+13}{24}+\frac{2\times 15+8}{15}$$

Reduce the fraction \frac{471}{120} to lowest terms by extracting and canceling out 3.

$$\frac{157}{40}+\frac{3\times 24+13}{24}+\frac{2\times 15+8}{15}$$

Multiply 3 and 24 to get 72.

$$\frac{157}{40}+\frac{72+13}{24}+\frac{2\times 15+8}{15}$$

Add 72 and 13 to get 85.

$$\frac{157}{40}+\frac{85}{24}+\frac{2\times 15+8}{15}$$

Least common multiple of 40 and 24 is 120. Convert \frac{157}{40} and \frac{85}{24} to fractions with denominator 120.

$$\frac{471}{120}+\frac{425}{120}+\frac{2\times 15+8}{15}$$

Since \frac{471}{120} and \frac{425}{120} have the same denominator, add them by adding their numerators.

$$\frac{471+425}{120}+\frac{2\times 15+8}{15}$$

Add 471 and 425 to get 896.

$$\frac{896}{120}+\frac{2\times 15+8}{15}$$

Reduce the fraction \frac{896}{120} to lowest terms by extracting and canceling out 8.

$$\frac{112}{15}+\frac{2\times 15+8}{15}$$

Multiply 2 and 15 to get 30.

$$\frac{112}{15}+\frac{30+8}{15}$$

Add 30 and 8 to get 38.

$$\frac{112}{15}+\frac{38}{15}$$

Since \frac{112}{15} and \frac{38}{15} have the same denominator, add them by adding their numerators.

$$\frac{112+38}{15}$$

Add 112 and 38 to get 150.

$$\frac{150}{15}$$

Divide 150 by 15 to get 10.

$$10$$

Factor

$$2\times 5$$