Solve 1/3div(3/3-2/5)*3/5

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

Evaluate

$$\frac{1}{3}\approx 0.333333333$$

Solution Steps

Divide 3 by 3 to get 1.

$$\frac{\frac{1}{3}}{1-\frac{2}{5}}\times \frac{3}{5}$$

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

$$\frac{\frac{1}{3}}{\frac{5}{5}-\frac{2}{5}}\times \frac{3}{5}$$

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

$$\frac{\frac{1}{3}}{\frac{5-2}{5}}\times \frac{3}{5}$$

Subtract 2 from 5 to get 3.

$$\frac{\frac{1}{3}}{\frac{3}{5}}\times \frac{3}{5}$$

Divide \frac{1}{3} by \frac{3}{5} by multiplying \frac{1}{3} by the reciprocal of \frac{3}{5}.

$$\frac{1}{3}\times \frac{5}{3}\times \frac{3}{5}$$

Multiply \frac{1}{3} times \frac{5}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 5}{3\times 3}\times \frac{3}{5}$$

Do the multiplications in the fraction \frac{1\times 5}{3\times 3}.

$$\frac{5}{9}\times \frac{3}{5}$$

Multiply \frac{5}{9} times \frac{3}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 3}{9\times 5}$$

Cancel out 5 in both numerator and denominator.

$$\frac{3}{9}$$

Reduce the fraction \frac{3}{9} to lowest terms by extracting and canceling out 3.

$$\frac{1}{3}$$

Factor

$$\frac{1}{3} = 0.3333333333333333$$