Solve 2/9div1/4div2/5

$$\frac { 2 } { 9 } \div \frac { 1 } { 4 } \div \frac { 2 } { 5 }$$

Evaluate

$$\frac{20}{9}\approx 2.222222222$$

Solution Steps

Divide \frac{\frac{2}{9}}{\frac{1}{4}} by \frac{2}{5} by multiplying \frac{\frac{2}{9}}{\frac{1}{4}} by the reciprocal of \frac{2}{5}.

$$\frac{\frac{2}{9}\times 5}{\frac{1}{4}\times 2}$$

Express \frac{2}{9}\times 5 as a single fraction.

$$\frac{\frac{2\times 5}{9}}{\frac{1}{4}\times 2}$$

Multiply 2 and 5 to get 10.

$$\frac{\frac{10}{9}}{\frac{1}{4}\times 2}$$

Multiply \frac{1}{4} and 2 to get \frac{2}{4}.

$$\frac{\frac{10}{9}}{\frac{2}{4}}$$

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

$$\frac{\frac{10}{9}}{\frac{1}{2}}$$

Divide \frac{10}{9} by \frac{1}{2} by multiplying \frac{10}{9} by the reciprocal of \frac{1}{2}.

$$\frac{10}{9}\times 2$$

Express \frac{10}{9}\times 2 as a single fraction.

$$\frac{10\times 2}{9}$$

Multiply 10 and 2 to get 20.

$$\frac{20}{9}$$

Factor

$$\frac{2 ^ {2} \cdot 5}{3 ^ {2}} = 2\frac{2}{9} = 2.2222222222222223$$