Solve (3/4-2/5)div1/5

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

Evaluate

$$\frac{7}{4}=1.75$$

Solution Steps

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

$$\frac{\frac{15}{20}-\frac{8}{20}}{\frac{1}{5}}$$

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

$$\frac{\frac{15-8}{20}}{\frac{1}{5}}$$

Subtract 8 from 15 to get 7.

$$\frac{\frac{7}{20}}{\frac{1}{5}}$$

Divide \frac{7}{20} by \frac{1}{5} by multiplying \frac{7}{20} by the reciprocal of \frac{1}{5}.

$$\frac{7}{20}\times 5$$

Express \frac{7}{20}\times 5 as a single fraction.

$$\frac{7\times 5}{20}$$

Multiply 7 and 5 to get 35.

$$\frac{35}{20}$$

Reduce the fraction \frac{35}{20} to lowest terms by extracting and canceling out 5.

$$\frac{7}{4}$$

Factor

$$\frac{7}{2 ^ {2}} = 1\frac{3}{4} = 1.75$$