Solve (3/5-1/4)*2/3

$$( \frac { 3 } { 5 } - \frac { 1 } { 4 } ) \cdot \frac { 2 } { 3 }$$

Evaluate

$$\frac{7}{30}\approx 0.233333333$$

Solution Steps

Least common multiple of 5 and 4 is 20. Convert \frac{3}{5} and \frac{1}{4} to fractions with denominator 20.

$$\left(\frac{12}{20}-\frac{5}{20}\right)\times \frac{2}{3}$$

Since \frac{12}{20} and \frac{5}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{12-5}{20}\times \frac{2}{3}$$

Subtract 5 from 12 to get 7.

$$\frac{7}{20}\times \frac{2}{3}$$

Multiply \frac{7}{20} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 2}{20\times 3}$$

Do the multiplications in the fraction \frac{7\times 2}{20\times 3}.

$$\frac{14}{60}$$

Reduce the fraction \frac{14}{60} to lowest terms by extracting and canceling out 2.

$$\frac{7}{30}$$

Factor

$$\frac{7}{2 \cdot 3 \cdot 5} = 0.23333333333333334$$