Solve (7/8)(4/5)(4/7-3/14)

$$( \frac { 7 } { 8 } ) ( \frac { 4 } { 5 } ) ( \frac { 4 } { 7 } - \frac { 3 } { 14 } )$$

Evaluate

$$\frac{1}{4}=0.25$$

Solution Steps

Multiply \frac{7}{8} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 4}{8\times 5}\left(\frac{4}{7}-\frac{3}{14}\right)$$

Do the multiplications in the fraction \frac{7\times 4}{8\times 5}.

$$\frac{28}{40}\left(\frac{4}{7}-\frac{3}{14}\right)$$

Reduce the fraction \frac{28}{40} to lowest terms by extracting and canceling out 4.

$$\frac{7}{10}\left(\frac{4}{7}-\frac{3}{14}\right)$$

Least common multiple of 7 and 14 is 14. Convert \frac{4}{7} and \frac{3}{14} to fractions with denominator 14.

$$\frac{7}{10}\left(\frac{8}{14}-\frac{3}{14}\right)$$

Since \frac{8}{14} and \frac{3}{14} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7}{10}\times \frac{8-3}{14}$$

Subtract 3 from 8 to get 5.

$$\frac{7}{10}\times \frac{5}{14}$$

Multiply \frac{7}{10} times \frac{5}{14} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 5}{10\times 14}$$

Do the multiplications in the fraction \frac{7\times 5}{10\times 14}.

$$\frac{35}{140}$$

Reduce the fraction \frac{35}{140} to lowest terms by extracting and canceling out 35.

$$\frac{1}{4}$$

Factor

$$\frac{1}{2 ^ {2}} = 0.25$$