Solve 64/5+17/8=

$$6 \frac { 4 } { 5 } + 1 \frac { 7 } { 8 } =$$

Evaluate

$$\frac{347}{40}=8.675$$

Solution Steps

Multiply 6 and 5 to get 30.

$$\frac{30+4}{5}+\frac{1\times 8+7}{8}$$

Add 30 and 4 to get 34.

$$\frac{34}{5}+\frac{1\times 8+7}{8}$$

Multiply 1 and 8 to get 8.

$$\frac{34}{5}+\frac{8+7}{8}$$

Add 8 and 7 to get 15.

$$\frac{34}{5}+\frac{15}{8}$$

Least common multiple of 5 and 8 is 40. Convert \frac{34}{5} and \frac{15}{8} to fractions with denominator 40.

$$\frac{272}{40}+\frac{75}{40}$$

Since \frac{272}{40} and \frac{75}{40} have the same denominator, add them by adding their numerators.

$$\frac{272+75}{40}$$

Add 272 and 75 to get 347.

$$\frac{347}{40}$$

Factor

$$\frac{347}{2 ^ {3} \cdot 5} = 8\frac{27}{40} = 8.675$$