Solve [(-2/3)+(-4/9)]*(-3/4)

$$[ ( - \frac { 2 } { 3 } ) + ( - \frac { 4 } { 9 } ) ] \times ( - \frac { 3 } { 4 } )$$

Evaluate

$$\frac{5}{6}\approx 0.833333333$$

Solution Steps

Least common multiple of 3 and 9 is 9. Convert -\frac{2}{3} and \frac{4}{9} to fractions with denominator 9.

$$\left(-\frac{6}{9}-\frac{4}{9}\right)\left(-\frac{3}{4}\right)$$

Since -\frac{6}{9} and \frac{4}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-6-4}{9}\left(-\frac{3}{4}\right)$$

Subtract 4 from -6 to get -10.

$$-\frac{10}{9}\left(-\frac{3}{4}\right)$$

Multiply -\frac{10}{9} times -\frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-10\left(-3\right)}{9\times 4}$$

Do the multiplications in the fraction \frac{-10\left(-3\right)}{9\times 4}.

$$\frac{30}{36}$$

Reduce the fraction \frac{30}{36} to lowest terms by extracting and canceling out 6.

$$\frac{5}{6}$$

Factor

$$\frac{5}{2 \cdot 3} = 0.8333333333333334$$