Solve 3/8div(3/8-1/4)

$$\frac { 3 } { 8 } \div ( \frac { 3 } { 8 } - \frac { 1 } { 4 } )$$

Evaluate

$$3$$

Solution Steps

Least common multiple of 8 and 4 is 8. Convert \frac{3}{8} and \frac{1}{4} to fractions with denominator 8.

$$\frac{\frac{3}{8}}{\frac{3}{8}-\frac{2}{8}}$$

Since \frac{3}{8} and \frac{2}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{3}{8}}{\frac{3-2}{8}}$$

Subtract 2 from 3 to get 1.

$$\frac{\frac{3}{8}}{\frac{1}{8}}$$

Divide \frac{3}{8} by \frac{1}{8} by multiplying \frac{3}{8} by the reciprocal of \frac{1}{8}.

$$\frac{3}{8}\times 8$$

Cancel out 8 and 8.

$$3$$

Factor

$$3$$