Solve 2/5-3/4/(-frac{1{5})}=

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

Evaluate

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

Solution Steps

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

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

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

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

Subtract 15 from 8 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}.

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

Express -\frac{7}{20}\left(-5\right) as a single fraction.

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

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

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