Solve 5/2/frac{7{8}}

$$\frac { \frac { 5 } { 2 } } { \frac { 7 } { 8 } }$$

Evaluate

$$\frac{20}{7}\approx 2.857142857$$

Solution Steps

Divide \frac{5}{2} by \frac{7}{8} by multiplying \frac{5}{2} by the reciprocal of \frac{7}{8}.

$$\frac{5}{2}\times \frac{8}{7}$$

Multiply \frac{5}{2} times \frac{8}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 8}{2\times 7}$$

Do the multiplications in the fraction \frac{5\times 8}{2\times 7}.

$$\frac{40}{14}$$

Reduce the fraction \frac{40}{14} to lowest terms by extracting and canceling out 2.

$$\frac{20}{7}$$

Factor

$$\frac{2 ^ {2} \cdot 5}{7} = 2\frac{6}{7} = 2.857142857142857$$