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

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

Evaluate

$$\frac{10}{3}\approx 3.333333333$$

Solution Steps

Reduce the fraction \frac{6}{4} to lowest terms by extracting and canceling out 2.

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

Least common multiple of 2 and 3 is 6. Convert \frac{3}{2} and \frac{2}{3} to fractions with denominator 6.

$$\left(\frac{9}{6}-\frac{4}{6}\right)\times 4$$

Since \frac{9}{6} and \frac{4}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9-4}{6}\times 4$$

Subtract 4 from 9 to get 5.

$$\frac{5}{6}\times 4$$

Express \frac{5}{6}\times 4 as a single fraction.

$$\frac{5\times 4}{6}$$

Multiply 5 and 4 to get 20.

$$\frac{20}{6}$$

Reduce the fraction \frac{20}{6} to lowest terms by extracting and canceling out 2.

$$\frac{10}{3}$$

Factor

$$\frac{2 \cdot 5}{3} = 3\frac{1}{3} = 3.3333333333333335$$