Solve -3/4(3/8+4/5)

$$- \frac { 3 } { 4 } ( \frac { 3 } { 8 } + \frac { 4 } { 5 } )$$

Evaluate

$$-\frac{141}{160}=-0.88125$$

Solution Steps

Least common multiple of 8 and 5 is 40. Convert \frac{3}{8} and \frac{4}{5} to fractions with denominator 40.

$$-\frac{3}{4}\left(\frac{15}{40}+\frac{32}{40}\right)$$

Since \frac{15}{40} and \frac{32}{40} have the same denominator, add them by adding their numerators.

$$-\frac{3}{4}\times \frac{15+32}{40}$$

Add 15 and 32 to get 47.

$$-\frac{3}{4}\times \frac{47}{40}$$

Multiply -\frac{3}{4} times \frac{47}{40} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-3\times 47}{4\times 40}$$

Do the multiplications in the fraction \frac{-3\times 47}{4\times 40}.

$$\frac{-141}{160}$$

Fraction \frac{-141}{160} can be rewritten as -\frac{141}{160} by extracting the negative sign.

$$-\frac{141}{160}$$

Factor

$$-\frac{141}{160} = -0.88125$$