Solve (1/2-3/8)div3/4

$$( \frac{ 1 }{ 2 } - \frac{ 3 }{ 8 } ) \div \frac{ 3 }{ 4 }$$

Evaluate

$$\frac{1}{6}\approx 0.166666667$$

Solution Steps

Least common multiple of 2 and 8 is 8. Convert \frac{1}{2} and \frac{3}{8} to fractions with denominator 8.

$$\frac{\frac{4}{8}-\frac{3}{8}}{\frac{3}{4}}$$

Since \frac{4}{8} and \frac{3}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{4-3}{8}}{\frac{3}{4}}$$

Subtract 3 from 4 to get 1.

$$\frac{\frac{1}{8}}{\frac{3}{4}}$$

Divide \frac{1}{8} by \frac{3}{4} by multiplying \frac{1}{8} by the reciprocal of \frac{3}{4}.

$$\frac{1}{8}\times \frac{4}{3}$$

Multiply \frac{1}{8} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 4}{8\times 3}$$

Do the multiplications in the fraction \frac{1\times 4}{8\times 3}.

$$\frac{4}{24}$$

Reduce the fraction \frac{4}{24} to lowest terms by extracting and canceling out 4.

$$\frac{1}{6}$$

Factor

$$\frac{1}{2 \cdot 3} = 0.16666666666666666$$