Solve 2/5-2/5*3/4div5/2

$$\frac { 2 } { 5 } - \frac { 2 } { 5 } \times \frac { 3 } { 4 } \div \frac { 5 } { 2 }$$

Evaluate

$$\frac{7}{25}=0.28$$

Solution Steps

Multiply \frac{2}{5} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2}{5}-\frac{\frac{2\times 3}{5\times 4}}{\frac{5}{2}}$$

Do the multiplications in the fraction \frac{2\times 3}{5\times 4}.

$$\frac{2}{5}-\frac{\frac{6}{20}}{\frac{5}{2}}$$

Reduce the fraction \frac{6}{20} to lowest terms by extracting and canceling out 2.

$$\frac{2}{5}-\frac{\frac{3}{10}}{\frac{5}{2}}$$

Divide \frac{3}{10} by \frac{5}{2} by multiplying \frac{3}{10} by the reciprocal of \frac{5}{2}.

$$\frac{2}{5}-\frac{3}{10}\times \frac{2}{5}$$

Multiply \frac{3}{10} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2}{5}-\frac{3\times 2}{10\times 5}$$

Do the multiplications in the fraction \frac{3\times 2}{10\times 5}.

$$\frac{2}{5}-\frac{6}{50}$$

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

$$\frac{2}{5}-\frac{3}{25}$$

Least common multiple of 5 and 25 is 25. Convert \frac{2}{5} and \frac{3}{25} to fractions with denominator 25.

$$\frac{10}{25}-\frac{3}{25}$$

Since \frac{10}{25} and \frac{3}{25} have the same denominator, subtract them by subtracting their numerators.

$$\frac{10-3}{25}$$

Subtract 3 from 10 to get 7.

$$\frac{7}{25}$$

Factor

$$\frac{7}{5 ^ {2}} = 0.28$$