Solve (1/2-2/7)*3/4

$$( \frac { 1 } { 2 } - \frac { 2 } { 7 } ) \cdot \frac { 3 } { 4 }$$

Evaluate

$$\frac{9}{56}\approx 0.160714286$$

Solution Steps

Least common multiple of 2 and 7 is 14. Convert \frac{1}{2} and \frac{2}{7} to fractions with denominator 14.

$$\left(\frac{7}{14}-\frac{4}{14}\right)\times \frac{3}{4}$$

Since \frac{7}{14} and \frac{4}{14} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7-4}{14}\times \frac{3}{4}$$

Subtract 4 from 7 to get 3.

$$\frac{3}{14}\times \frac{3}{4}$$

Multiply \frac{3}{14} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 3}{14\times 4}$$

Do the multiplications in the fraction \frac{3\times 3}{14\times 4}.

$$\frac{9}{56}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {3} \cdot 7} = 0.16071428571428573$$