Solve (5/12-1/4)div5/6

$$( \frac{ 5 }{ 12 } - \frac{ 1 }{ 4 } ) \div \frac{ 5 }{ 6 }$$

Evaluate

$$\frac{1}{5}=0.2$$

Solution Steps

Least common multiple of 12 and 4 is 12. Convert \frac{5}{12} and \frac{1}{4} to fractions with denominator 12.

$$\frac{\frac{5}{12}-\frac{3}{12}}{\frac{5}{6}}$$

Since \frac{5}{12} and \frac{3}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{5-3}{12}}{\frac{5}{6}}$$

Subtract 3 from 5 to get 2.

$$\frac{\frac{2}{12}}{\frac{5}{6}}$$

Reduce the fraction \frac{2}{12} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{1}{6}}{\frac{5}{6}}$$

Divide \frac{1}{6} by \frac{5}{6} by multiplying \frac{1}{6} by the reciprocal of \frac{5}{6}.

$$\frac{1}{6}\times \frac{6}{5}$$

Multiply \frac{1}{6} times \frac{6}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 6}{6\times 5}$$

Cancel out 6 in both numerator and denominator.

$$\frac{1}{5}$$

Factor

$$\frac{1}{5} = 0.2$$