Solve 1/frac{5{2}}-2/5/4

$$\frac { 1 } { \frac { 5 } { 2 } } - \frac { \frac { 2 } { 5 } } { 4 }$$

Evaluate

$$\frac{3}{10}=0.3$$

Solution Steps

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

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

Multiply 1 and \frac{2}{5} to get \frac{2}{5}.

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

Express \frac{\frac{2}{5}}{4} as a single fraction.

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

Multiply 5 and 4 to get 20.

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

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

$$\frac{2}{5}-\frac{1}{10}$$

Least common multiple of 5 and 10 is 10. Convert \frac{2}{5} and \frac{1}{10} to fractions with denominator 10.

$$\frac{4}{10}-\frac{1}{10}$$

Since \frac{4}{10} and \frac{1}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4-1}{10}$$

Subtract 1 from 4 to get 3.

$$\frac{3}{10}$$

Factor

$$\frac{3}{2 \cdot 5} = 0.3$$