Solve 07/8:(7/5)

$$0 \frac { 7 } { 8 } : ( \frac { 7 } { 5 } )$$

Evaluate

$$\frac{5}{8}=0.625$$

Solution Steps

Divide \frac{0\times 8+7}{8} by \frac{7}{5} by multiplying \frac{0\times 8+7}{8} by the reciprocal of \frac{7}{5}.

$$\frac{\left(0\times 8+7\right)\times 5}{8\times 7}$$

Multiply 0 and 8 to get 0.

$$\frac{\left(0+7\right)\times 5}{8\times 7}$$

Add 0 and 7 to get 7.

$$\frac{7\times 5}{8\times 7}$$

Multiply 7 and 5 to get 35.

$$\frac{35}{8\times 7}$$

Multiply 8 and 7 to get 56.

$$\frac{35}{56}$$

Reduce the fraction \frac{35}{56} to lowest terms by extracting and canceling out 7.

$$\frac{5}{8}$$

Factor

$$\frac{5}{2 ^ {3}} = 0.625$$