Solve 5/6*4/5div3/5

$$\frac { 5 } { 6 } \times \frac { 4 } { 5 } \div \frac { 3 } { 5 }$$

Evaluate

$$\frac{10}{9}\approx 1.111111111$$

Solution Steps

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

$$\frac{\frac{5\times 4}{6\times 5}}{\frac{3}{5}}$$

Cancel out 5 in both numerator and denominator.

$$\frac{\frac{4}{6}}{\frac{3}{5}}$$

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

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

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

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

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

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

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

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

Factor

$$\frac{2 \cdot 5}{3 ^ {2}} = 1\frac{1}{9} = 1.1111111111111112$$