Solve (3/4-2/5)*6/7

$$( \frac { 3 } { 4 } - \frac { 2 } { 5 } ) \times \frac { 6 } { 7 }$$

Evaluate

$$\frac{3}{10}=0.3$$

Solution Steps

Least common multiple of 4 and 5 is 20. Convert \frac{3}{4} and \frac{2}{5} to fractions with denominator 20.

$$\left(\frac{15}{20}-\frac{8}{20}\right)\times \frac{6}{7}$$

Since \frac{15}{20} and \frac{8}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15-8}{20}\times \frac{6}{7}$$

Subtract 8 from 15 to get 7.

$$\frac{7}{20}\times \frac{6}{7}$$

Multiply \frac{7}{20} times \frac{6}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 6}{20\times 7}$$

Cancel out 7 in both numerator and denominator.

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

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

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

Factor

$$\frac{3}{2 \cdot 5} = 0.3$$