Solve 96*(1/4-1/6)

$$96 \times ( \frac{ 1 }{ 4 } - \frac{ 1 }{ 6 } )$$

Evaluate

$$8$$

Solution Steps

Least common multiple of 4 and 6 is 12. Convert \frac{1}{4} and \frac{1}{6} to fractions with denominator 12.

$$96\left(\frac{3}{12}-\frac{2}{12}\right)$$

Since \frac{3}{12} and \frac{2}{12} have the same denominator, subtract them by subtracting their numerators.

$$96\times \frac{3-2}{12}$$

Subtract 2 from 3 to get 1.

$$96\times \frac{1}{12}$$

Multiply 96 and \frac{1}{12} to get \frac{96}{12}.

$$\frac{96}{12}$$

Divide 96 by 12 to get 8.

$$8$$

Factor

$$2^{3}$$