Solve (3/4-1/20)*(5/7-5/14)=

$$( \frac { 3 } { 4 } - \frac { 1 } { 20 } ) \cdot ( \frac { 5 } { 7 } - \frac { 5 } { 14 } ) =$$

Evaluate

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

Solution Steps

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

$$\left(\frac{15}{20}-\frac{1}{20}\right)\left(\frac{5}{7}-\frac{5}{14}\right)$$

Since \frac{15}{20} and \frac{1}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15-1}{20}\left(\frac{5}{7}-\frac{5}{14}\right)$$

Subtract 1 from 15 to get 14.

$$\frac{14}{20}\left(\frac{5}{7}-\frac{5}{14}\right)$$

Reduce the fraction \frac{14}{20} to lowest terms by extracting and canceling out 2.

$$\frac{7}{10}\left(\frac{5}{7}-\frac{5}{14}\right)$$

Least common multiple of 7 and 14 is 14. Convert \frac{5}{7} and \frac{5}{14} to fractions with denominator 14.

$$\frac{7}{10}\left(\frac{10}{14}-\frac{5}{14}\right)$$

Since \frac{10}{14} and \frac{5}{14} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 5 from 10 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

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