Solve 63/5+85/6+77/10

$$6 \frac { 3 } { 5 } + 8 \frac { 5 } { 6 } + 7 \frac { 7 } { 10 }$$

Evaluate

$$\frac{347}{15}\approx 23.133333333$$

Solution Steps

Multiply 6 and 5 to get 30.

$$\frac{30+3}{5}+\frac{8\times 6+5}{6}+\frac{7\times 10+7}{10}$$

Add 30 and 3 to get 33.

$$\frac{33}{5}+\frac{8\times 6+5}{6}+\frac{7\times 10+7}{10}$$

Multiply 8 and 6 to get 48.

$$\frac{33}{5}+\frac{48+5}{6}+\frac{7\times 10+7}{10}$$

Add 48 and 5 to get 53.

$$\frac{33}{5}+\frac{53}{6}+\frac{7\times 10+7}{10}$$

Least common multiple of 5 and 6 is 30. Convert \frac{33}{5} and \frac{53}{6} to fractions with denominator 30.

$$\frac{198}{30}+\frac{265}{30}+\frac{7\times 10+7}{10}$$

Since \frac{198}{30} and \frac{265}{30} have the same denominator, add them by adding their numerators.

$$\frac{198+265}{30}+\frac{7\times 10+7}{10}$$

Add 198 and 265 to get 463.

$$\frac{463}{30}+\frac{7\times 10+7}{10}$$

Multiply 7 and 10 to get 70.

$$\frac{463}{30}+\frac{70+7}{10}$$

Add 70 and 7 to get 77.

$$\frac{463}{30}+\frac{77}{10}$$

Least common multiple of 30 and 10 is 30. Convert \frac{463}{30} and \frac{77}{10} to fractions with denominator 30.

$$\frac{463}{30}+\frac{231}{30}$$

Since \frac{463}{30} and \frac{231}{30} have the same denominator, add them by adding their numerators.

$$\frac{463+231}{30}$$

Add 463 and 231 to get 694.

$$\frac{694}{30}$$

Reduce the fraction \frac{694}{30} to lowest terms by extracting and canceling out 2.

$$\frac{347}{15}$$

Factor

$$\frac{347}{3 \cdot 5} = 23\frac{2}{15} = 23.133333333333333$$