Solve (3/1-frac{2{5}})(2-9/5)

$$( \frac { 3 } { 1 - \frac { 2 } { 5 } } ) ( 2 - \frac { 9 } { 5 } )$$

Evaluate

$$1$$

Solution Steps

Convert 1 to fraction \frac{5}{5}.

$$\frac{3}{\frac{5}{5}-\frac{2}{5}}\left(2-\frac{9}{5}\right)$$

Since \frac{5}{5} and \frac{2}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3}{\frac{5-2}{5}}\left(2-\frac{9}{5}\right)$$

Subtract 2 from 5 to get 3.

$$\frac{3}{\frac{3}{5}}\left(2-\frac{9}{5}\right)$$

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

$$3\times \frac{5}{3}\left(2-\frac{9}{5}\right)$$

Cancel out 3 and 3.

$$5\left(2-\frac{9}{5}\right)$$

Convert 2 to fraction \frac{10}{5}.

$$5\left(\frac{10}{5}-\frac{9}{5}\right)$$

Since \frac{10}{5} and \frac{9}{5} have the same denominator, subtract them by subtracting their numerators.

$$5\times \frac{10-9}{5}$$

Subtract 9 from 10 to get 1.

$$5\times \frac{1}{5}$$

Cancel out 5 and 5.

$$1$$

Factor

$$1$$