Solve 8/9*5/16div7/18=

$$\frac { 8 } { 9 } \times \frac { 5 } { 16 } \div \frac { 7 } { 18 } =$$

Evaluate

$$\frac{5}{7}\approx 0.714285714$$

Solution Steps

Multiply \frac{8}{9} times \frac{5}{16} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{8\times 5}{9\times 16}}{\frac{7}{18}}$$

Do the multiplications in the fraction \frac{8\times 5}{9\times 16}.

$$\frac{\frac{40}{144}}{\frac{7}{18}}$$

Reduce the fraction \frac{40}{144} to lowest terms by extracting and canceling out 8.

$$\frac{\frac{5}{18}}{\frac{7}{18}}$$

Divide \frac{5}{18} by \frac{7}{18} by multiplying \frac{5}{18} by the reciprocal of \frac{7}{18}.

$$\frac{5}{18}\times \frac{18}{7}$$

Multiply \frac{5}{18} times \frac{18}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 18}{18\times 7}$$

Cancel out 18 in both numerator and denominator.

$$\frac{5}{7}$$

Factor

$$\frac{5}{7} = 0.7142857142857143$$