Solve 5/6div25/6div2/5

$$\frac { 5 } { 6 } \div \frac { 25 } { 6 } \div \frac { 2 } { 5 }$$

Evaluate

$$\frac{1}{2}=0.5$$

Solution Steps

Divide \frac{\frac{5}{6}}{\frac{25}{6}} by \frac{2}{5} by multiplying \frac{\frac{5}{6}}{\frac{25}{6}} by the reciprocal of \frac{2}{5}.

$$\frac{\frac{5}{6}\times 5}{\frac{25}{6}\times 2}$$

Express \frac{5}{6}\times 5 as a single fraction.

$$\frac{\frac{5\times 5}{6}}{\frac{25}{6}\times 2}$$

Multiply 5 and 5 to get 25.

$$\frac{\frac{25}{6}}{\frac{25}{6}\times 2}$$

Express \frac{25}{6}\times 2 as a single fraction.

$$\frac{\frac{25}{6}}{\frac{25\times 2}{6}}$$

Multiply 25 and 2 to get 50.

$$\frac{\frac{25}{6}}{\frac{50}{6}}$$

Reduce the fraction \frac{50}{6} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{25}{6}}{\frac{25}{3}}$$

Divide \frac{25}{6} by \frac{25}{3} by multiplying \frac{25}{6} by the reciprocal of \frac{25}{3}.

$$\frac{25}{6}\times \frac{3}{25}$$

Multiply \frac{25}{6} times \frac{3}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{25\times 3}{6\times 25}$$

Cancel out 25 in both numerator and denominator.

$$\frac{3}{6}$$

Reduce the fraction \frac{3}{6} to lowest terms by extracting and canceling out 3.

$$\frac{1}{2}$$

Factor

$$\frac{1}{2} = 0.5$$