Solve left(7/24-1/12right)div5/12

$$\left( \frac{ 7 }{ 24 } - \frac{ 1 }{ 12 } \right) \div \frac{ 5 }{ 12 }$$

Evaluate

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

Solution Steps

Least common multiple of 24 and 12 is 24. Convert \frac{7}{24} and \frac{1}{12} to fractions with denominator 24.

$$\frac{\frac{7}{24}-\frac{2}{24}}{\frac{5}{12}}$$

Since \frac{7}{24} and \frac{2}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{7-2}{24}}{\frac{5}{12}}$$

Subtract 2 from 7 to get 5.

$$\frac{\frac{5}{24}}{\frac{5}{12}}$$

Divide \frac{5}{24} by \frac{5}{12} by multiplying \frac{5}{24} by the reciprocal of \frac{5}{12}.

$$\frac{5}{24}\times \frac{12}{5}$$

Multiply \frac{5}{24} times \frac{12}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 12}{24\times 5}$$

Cancel out 5 in both numerator and denominator.

$$\frac{12}{24}$$

Reduce the fraction \frac{12}{24} to lowest terms by extracting and canceling out 12.

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

Factor

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