Solve (3/4-1/2)*(-31/5)=

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

Evaluate

$$-\frac{4}{5}=-0.8$$

Solution Steps

Least common multiple of 4 and 2 is 4. Convert \frac{3}{4} and \frac{1}{2} to fractions with denominator 4.

$$\left(\frac{3}{4}-\frac{2}{4}\right)\left(-\frac{3\times 5+1}{5}\right)$$

Since \frac{3}{4} and \frac{2}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-2}{4}\left(-\frac{3\times 5+1}{5}\right)$$

Subtract 2 from 3 to get 1.

$$\frac{1}{4}\left(-\frac{3\times 5+1}{5}\right)$$

Multiply 3 and 5 to get 15.

$$\frac{1}{4}\left(-\frac{15+1}{5}\right)$$

Add 15 and 1 to get 16.

$$\frac{1}{4}\left(-\frac{16}{5}\right)$$

Multiply \frac{1}{4} times -\frac{16}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\left(-16\right)}{4\times 5}$$

Do the multiplications in the fraction \frac{1\left(-16\right)}{4\times 5}.

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

Reduce the fraction \frac{-16}{20} to lowest terms by extracting and canceling out 4.

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

Factor

$$-\frac{4}{5} = -0.8$$