Solve (-5/12)*(1/5+24/15)=

$$( - \frac { 5 } { 12 } ) \times ( \frac { 1 } { 5 } + \frac { 24 } { 15 } ) =$$

Evaluate

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

Solution Steps

Reduce the fraction \frac{24}{15} to lowest terms by extracting and canceling out 3.

$$-\frac{5}{12}\left(\frac{1}{5}+\frac{8}{5}\right)$$

Since \frac{1}{5} and \frac{8}{5} have the same denominator, add them by adding their numerators.

$$-\frac{5}{12}\times \frac{1+8}{5}$$

Add 1 and 8 to get 9.

$$-\frac{5}{12}\times \frac{9}{5}$$

Multiply -\frac{5}{12} times \frac{9}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-5\times 9}{12\times 5}$$

Do the multiplications in the fraction \frac{-5\times 9}{12\times 5}.

$$\frac{-45}{60}$$

Reduce the fraction \frac{-45}{60} to lowest terms by extracting and canceling out 15.

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

Factor

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