Solve 1/6*(-3/2)+(-1/2)div(-4/7)

$$\frac { 1 } { 6 } \times ( - \frac { 3 } { 2 } ) + ( - \frac { 1 } { 2 } ) \div ( - \frac { 4 } { 7 } )$$

Evaluate

$$\frac{5}{8}=0.625$$

Solution Steps

Multiply \frac{1}{6} times -\frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\left(-3\right)}{6\times 2}+\frac{-\frac{1}{2}}{-\frac{4}{7}}$$

Do the multiplications in the fraction \frac{1\left(-3\right)}{6\times 2}.

$$\frac{-3}{12}+\frac{-\frac{1}{2}}{-\frac{4}{7}}$$

Reduce the fraction \frac{-3}{12} to lowest terms by extracting and canceling out 3.

$$-\frac{1}{4}+\frac{-\frac{1}{2}}{-\frac{4}{7}}$$

Divide -\frac{1}{2} by -\frac{4}{7} by multiplying -\frac{1}{2} by the reciprocal of -\frac{4}{7}.

$$-\frac{1}{4}-\frac{1}{2}\left(-\frac{7}{4}\right)$$

Multiply -\frac{1}{2} times -\frac{7}{4} by multiplying numerator times numerator and denominator times denominator.

$$-\frac{1}{4}+\frac{-\left(-7\right)}{2\times 4}$$

Do the multiplications in the fraction \frac{-\left(-7\right)}{2\times 4}.

$$-\frac{1}{4}+\frac{7}{8}$$

Least common multiple of 4 and 8 is 8. Convert -\frac{1}{4} and \frac{7}{8} to fractions with denominator 8.

$$-\frac{2}{8}+\frac{7}{8}$$

Since -\frac{2}{8} and \frac{7}{8} have the same denominator, add them by adding their numerators.

$$\frac{-2+7}{8}$$

Add -2 and 7 to get 5.

$$\frac{5}{8}$$

Factor

$$\frac{5}{2 ^ {3}} = 0.625$$