Solve (13/5*5/4):13/8

$$( \frac { 13 } { 5 } \times \frac { 5 } { 4 } ) : \frac { 13 } { 8 }$$

Evaluate

$$2$$

Solution Steps

Multiply \frac{13}{5} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{13\times 5}{5\times 4}}{\frac{13}{8}}$$

Cancel out 5 in both numerator and denominator.

$$\frac{\frac{13}{4}}{\frac{13}{8}}$$

Divide \frac{13}{4} by \frac{13}{8} by multiplying \frac{13}{4} by the reciprocal of \frac{13}{8}.

$$\frac{13}{4}\times \frac{8}{13}$$

Multiply \frac{13}{4} times \frac{8}{13} by multiplying numerator times numerator and denominator times denominator.

$$\frac{13\times 8}{4\times 13}$$

Cancel out 13 in both numerator and denominator.

$$\frac{8}{4}$$

Divide 8 by 4 to get 2.

$$2$$

Factor

$$2$$