Solve 4/5*5/6div5/8

$$\frac { 4 } { 5 } \times \frac { 5 } { 6 } \div \frac { 5 } { 8 }$$

Evaluate

$$\frac{16}{15}\approx 1.066666667$$

Solution Steps

Multiply \frac{4}{5} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{4\times 5}{5\times 6}}{\frac{5}{8}}$$

Cancel out 5 in both numerator and denominator.

$$\frac{\frac{4}{6}}{\frac{5}{8}}$$

Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{2}{3}}{\frac{5}{8}}$$

Divide \frac{2}{3} by \frac{5}{8} by multiplying \frac{2}{3} by the reciprocal of \frac{5}{8}.

$$\frac{2}{3}\times \frac{8}{5}$$

Multiply \frac{2}{3} times \frac{8}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 8}{3\times 5}$$

Do the multiplications in the fraction \frac{2\times 8}{3\times 5}.

$$\frac{16}{15}$$

Factor

$$\frac{2 ^ {4}}{3 \cdot 5} = 1\frac{1}{15} = 1.0666666666666667$$