Solve -13/24-(-1/2)^3div(3/4)

$$- \frac { 13 } { 24 } - ( - \frac { 1 } { 2 } ) ^ { 3 } \div ( \frac { 3 } { 4 } )$$

Evaluate

$$-\frac{3}{8}=-0.375$$

Solution Steps

Calculate -\frac{1}{2} to the power of 3 and get -\frac{1}{8}.

$$-\frac{13}{24}-\frac{-\frac{1}{8}}{\frac{3}{4}}$$

Divide -\frac{1}{8} by \frac{3}{4} by multiplying -\frac{1}{8} by the reciprocal of \frac{3}{4}.

$$-\frac{13}{24}-\left(-\frac{1}{8}\times \frac{4}{3}\right)$$

Multiply -\frac{1}{8} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$-\frac{13}{24}-\frac{-4}{8\times 3}$$

Do the multiplications in the fraction \frac{-4}{8\times 3}.

$$-\frac{13}{24}-\frac{-4}{24}$$

Reduce the fraction \frac{-4}{24} to lowest terms by extracting and canceling out 4.

$$-\frac{13}{24}-\left(-\frac{1}{6}\right)$$

The opposite of -\frac{1}{6} is \frac{1}{6}.

$$-\frac{13}{24}+\frac{1}{6}$$

Least common multiple of 24 and 6 is 24. Convert -\frac{13}{24} and \frac{1}{6} to fractions with denominator 24.

$$-\frac{13}{24}+\frac{4}{24}$$

Since -\frac{13}{24} and \frac{4}{24} have the same denominator, add them by adding their numerators.

$$\frac{-13+4}{24}$$

Add -13 and 4 to get -9.

$$\frac{-9}{24}$$

Reduce the fraction \frac{-9}{24} to lowest terms by extracting and canceling out 3.

$$-\frac{3}{8}$$

Factor

$$-\frac{3}{8} = -0.375$$