Solve (1/2-1/4)div5/8

$$( \frac { 1 } { 2 } - \frac { 1 } { 4 } ) \div \frac { 5 } { 8 }$$

Evaluate

$$\frac{2}{5}=0.4$$

Solution Steps

Least common multiple of 2 and 4 is 4. Convert \frac{1}{2} and \frac{1}{4} to fractions with denominator 4.

$$\frac{\frac{2}{4}-\frac{1}{4}}{\frac{5}{8}}$$

Since \frac{2}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{2-1}{4}}{\frac{5}{8}}$$

Subtract 1 from 2 to get 1.

$$\frac{\frac{1}{4}}{\frac{5}{8}}$$

Divide \frac{1}{4} by \frac{5}{8} by multiplying \frac{1}{4} by the reciprocal of \frac{5}{8}.

$$\frac{1}{4}\times \frac{8}{5}$$

Multiply \frac{1}{4} times \frac{8}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 8}{4\times 5}$$

Do the multiplications in the fraction \frac{1\times 8}{4\times 5}.

$$\frac{8}{20}$$

Reduce the fraction \frac{8}{20} to lowest terms by extracting and canceling out 4.

$$\frac{2}{5}$$

Factor

$$\frac{2}{5} = 0.4$$