Solve 3/4-1/5/frac{1{4}}

$$\frac { \frac { 3 } { 4 } - \frac { 1 } { 5 } } { \frac { 1 } { 4 } }$$

Evaluate

$$\frac{11}{5}=2.2$$

Solution Steps

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

$$\frac{\frac{15}{20}-\frac{4}{20}}{\frac{1}{4}}$$

Since \frac{15}{20} and \frac{4}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{15-4}{20}}{\frac{1}{4}}$$

Subtract 4 from 15 to get 11.

$$\frac{\frac{11}{20}}{\frac{1}{4}}$$

Divide \frac{11}{20} by \frac{1}{4} by multiplying \frac{11}{20} by the reciprocal of \frac{1}{4}.

$$\frac{11}{20}\times 4$$

Express \frac{11}{20}\times 4 as a single fraction.

$$\frac{11\times 4}{20}$$

Multiply 11 and 4 to get 44.

$$\frac{44}{20}$$

Reduce the fraction \frac{44}{20} to lowest terms by extracting and canceling out 4.

$$\frac{11}{5}$$

Factor

$$\frac{11}{5} = 2\frac{1}{5} = 2.2$$