Solve 3/2(1/3-1/4)

$$\frac { 3 } { 2 } ( \frac { 1 } { 3 } - \frac { 1 } { 4 } )$$

Evaluate

$$\frac{1}{8}=0.125$$

Solution Steps

Least common multiple of 3 and 4 is 12. Convert \frac{1}{3} and \frac{1}{4} to fractions with denominator 12.

$$\frac{3}{2}\left(\frac{4}{12}-\frac{3}{12}\right)$$

Since \frac{4}{12} and \frac{3}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3}{2}\times \frac{4-3}{12}$$

Subtract 3 from 4 to get 1.

$$\frac{3}{2}\times \frac{1}{12}$$

Multiply \frac{3}{2} times \frac{1}{12} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 1}{2\times 12}$$

Do the multiplications in the fraction \frac{3\times 1}{2\times 12}.

$$\frac{3}{24}$$

Reduce the fraction \frac{3}{24} to lowest terms by extracting and canceling out 3.

$$\frac{1}{8}$$

Factor

$$\frac{1}{2 ^ {3}} = 0.125$$