Solve -4/5-(1/5-1/4)=

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

Evaluate

$$-\frac{3}{4}=-0.75$$

Solution Steps

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

$$-\frac{4}{5}-\left(\frac{4}{20}-\frac{5}{20}\right)$$

Since \frac{4}{20} and \frac{5}{20} have the same denominator, subtract them by subtracting their numerators.

$$-\frac{4}{5}-\frac{4-5}{20}$$

Subtract 5 from 4 to get -1.

$$-\frac{4}{5}-\left(-\frac{1}{20}\right)$$

The opposite of -\frac{1}{20} is \frac{1}{20}.

$$-\frac{4}{5}+\frac{1}{20}$$

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

$$-\frac{16}{20}+\frac{1}{20}$$

Since -\frac{16}{20} and \frac{1}{20} have the same denominator, add them by adding their numerators.

$$\frac{-16+1}{20}$$

Add -16 and 1 to get -15.

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

Reduce the fraction \frac{-15}{20} to lowest terms by extracting and canceling out 5.

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

Factor

$$-\frac{3}{4} = -0.75$$