Solve (3/4-1/6)*4/7

$$( \frac { 3 } { 4 } - \frac { 1 } { 6 } ) \times \frac { 4 } { 7 }$$

Evaluate

$$\frac{1}{3}\approx 0.333333333$$

Solution Steps

Least common multiple of 4 and 6 is 12. Convert \frac{3}{4} and \frac{1}{6} to fractions with denominator 12.

$$\left(\frac{9}{12}-\frac{2}{12}\right)\times \frac{4}{7}$$

Since \frac{9}{12} and \frac{2}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9-2}{12}\times \frac{4}{7}$$

Subtract 2 from 9 to get 7.

$$\frac{7}{12}\times \frac{4}{7}$$

Multiply \frac{7}{12} times \frac{4}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 4}{12\times 7}$$

Cancel out 7 in both numerator and denominator.

$$\frac{4}{12}$$

Reduce the fraction \frac{4}{12} to lowest terms by extracting and canceling out 4.

$$\frac{1}{3}$$

Factor

$$\frac{1}{3} = 0.3333333333333333$$