Solve 16/7*5/8/frac{7{9}}

$$\frac { \frac { 16 } { 7 } \cdot \frac { 5 } { 8 } } { \frac { 7 } { 9 } }$$

Evaluate

$$\frac{90}{49}\approx 1.836734694$$

Solution Steps

Multiply \frac{16}{7} times \frac{5}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{16\times 5}{7\times 8}}{\frac{7}{9}}$$

Do the multiplications in the fraction \frac{16\times 5}{7\times 8}.

$$\frac{\frac{80}{56}}{\frac{7}{9}}$$

Reduce the fraction \frac{80}{56} to lowest terms by extracting and canceling out 8.

$$\frac{\frac{10}{7}}{\frac{7}{9}}$$

Divide \frac{10}{7} by \frac{7}{9} by multiplying \frac{10}{7} by the reciprocal of \frac{7}{9}.

$$\frac{10}{7}\times \frac{9}{7}$$

Multiply \frac{10}{7} times \frac{9}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{10\times 9}{7\times 7}$$

Do the multiplications in the fraction \frac{10\times 9}{7\times 7}.

$$\frac{90}{49}$$

Factor

$$\frac{2 \cdot 3 ^ {2} \cdot 5}{7 ^ {2}} = 1\frac{41}{49} = 1.836734693877551$$