Solve (7/12-1/8)div24*2/5=

$$( \frac{ 7 }{ 12 } - \frac{ 1 }{ 8 } ) \div 24 \times \frac{ 2 }{ 5 } =$$

Evaluate

$$\frac{11}{1440}\approx 0.007638889$$

Solution Steps

Least common multiple of 12 and 8 is 24. Convert \frac{7}{12} and \frac{1}{8} to fractions with denominator 24.

$$\frac{\frac{14}{24}-\frac{3}{24}}{24}\times \frac{2}{5}$$

Since \frac{14}{24} and \frac{3}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{14-3}{24}}{24}\times \frac{2}{5}$$

Subtract 3 from 14 to get 11.

$$\frac{\frac{11}{24}}{24}\times \frac{2}{5}$$

Express \frac{\frac{11}{24}}{24} as a single fraction.

$$\frac{11}{24\times 24}\times \frac{2}{5}$$

Multiply 24 and 24 to get 576.

$$\frac{11}{576}\times \frac{2}{5}$$

Multiply \frac{11}{576} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11\times 2}{576\times 5}$$

Do the multiplications in the fraction \frac{11\times 2}{576\times 5}.

$$\frac{22}{2880}$$

Reduce the fraction \frac{22}{2880} to lowest terms by extracting and canceling out 2.

$$\frac{11}{1440}$$

Factor

$$\frac{11}{2 ^ {5} \cdot 3 ^ {2} \cdot 5} = 0.007638888888888889$$