Solve (2/3-1/4)*6

$$( \frac { 2 } { 3 } - \frac { 1 } { 4 } ) \times 6$$

Evaluate

$$\frac{5}{2}=2.5$$

Solution Steps

Least common multiple of 3 and 4 is 12. Convert \frac{2}{3} and \frac{1}{4} to fractions with denominator 12.

$$\left(\frac{8}{12}-\frac{3}{12}\right)\times 6$$

Since \frac{8}{12} and \frac{3}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{8-3}{12}\times 6$$

Subtract 3 from 8 to get 5.

$$\frac{5}{12}\times 6$$

Express \frac{5}{12}\times 6 as a single fraction.

$$\frac{5\times 6}{12}$$

Multiply 5 and 6 to get 30.

$$\frac{30}{12}$$

Reduce the fraction \frac{30}{12} to lowest terms by extracting and canceling out 6.

$$\frac{5}{2}$$

Factor

$$\frac{5}{2} = 2\frac{1}{2} = 2.5$$