Solve (7/6-3/4)*4/5

$$( \frac { 7 } { 6 } - \frac { 3 } { 4 } ) \cdot \frac { 4 } { 5 }$$

Evaluate

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

Solution Steps

Least common multiple of 6 and 4 is 12. Convert \frac{7}{6} and \frac{3}{4} to fractions with denominator 12.

$$\left(\frac{14}{12}-\frac{9}{12}\right)\times \frac{4}{5}$$

Since \frac{14}{12} and \frac{9}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{14-9}{12}\times \frac{4}{5}$$

Subtract 9 from 14 to get 5.

$$\frac{5}{12}\times \frac{4}{5}$$

Multiply \frac{5}{12} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 4}{12\times 5}$$

Cancel out 5 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

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