Solve 1/28div(11/14-5/7)

$$\frac{ 1 }{ 28 } \div ( \frac{ 11 }{ 14 } - \frac{ 5 }{ 7 } )$$

Evaluate

$$\frac{1}{2}=0.5$$

Solution Steps

Least common multiple of 14 and 7 is 14. Convert \frac{11}{14} and \frac{5}{7} to fractions with denominator 14.

$$\frac{\frac{1}{28}}{\frac{11}{14}-\frac{10}{14}}$$

Since \frac{11}{14} and \frac{10}{14} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{1}{28}}{\frac{11-10}{14}}$$

Subtract 10 from 11 to get 1.

$$\frac{\frac{1}{28}}{\frac{1}{14}}$$

Divide \frac{1}{28} by \frac{1}{14} by multiplying \frac{1}{28} by the reciprocal of \frac{1}{14}.

$$\frac{1}{28}\times 14$$

Multiply \frac{1}{28} and 14 to get \frac{14}{28}.

$$\frac{14}{28}$$

Reduce the fraction \frac{14}{28} to lowest terms by extracting and canceling out 14.

$$\frac{1}{2}$$

Factor

$$\frac{1}{2} = 0.5$$