Solve (-5/8)div(3/4)div(-15/2)

$$( \frac { - 5 } { 8 } ) \div ( \frac { 3 } { 4 } ) \div ( \frac { - 15 } { 2 } )$$

Evaluate

$$\frac{1}{9}\approx 0.111111111$$

Solution Steps

Divide \frac{\frac{-5}{8}}{\frac{3}{4}} by \frac{-15}{2} by multiplying \frac{\frac{-5}{8}}{\frac{3}{4}} by the reciprocal of \frac{-15}{2}.

$$\frac{\frac{-5}{8}\times 2}{\frac{3}{4}\left(-15\right)}$$

Fraction \frac{-5}{8} can be rewritten as -\frac{5}{8} by extracting the negative sign.

$$\frac{-\frac{5}{8}\times 2}{\frac{3}{4}\left(-15\right)}$$

Express -\frac{5}{8}\times 2 as a single fraction.

$$\frac{\frac{-5\times 2}{8}}{\frac{3}{4}\left(-15\right)}$$

Multiply -5 and 2 to get -10.

$$\frac{\frac{-10}{8}}{\frac{3}{4}\left(-15\right)}$$

Reduce the fraction \frac{-10}{8} to lowest terms by extracting and canceling out 2.

$$\frac{-\frac{5}{4}}{\frac{3}{4}\left(-15\right)}$$

Express \frac{3}{4}\left(-15\right) as a single fraction.

$$\frac{-\frac{5}{4}}{\frac{3\left(-15\right)}{4}}$$

Multiply 3 and -15 to get -45.

$$\frac{-\frac{5}{4}}{\frac{-45}{4}}$$

Fraction \frac{-45}{4} can be rewritten as -\frac{45}{4} by extracting the negative sign.

$$\frac{-\frac{5}{4}}{-\frac{45}{4}}$$

Divide -\frac{5}{4} by -\frac{45}{4} by multiplying -\frac{5}{4} by the reciprocal of -\frac{45}{4}.

$$-\frac{5}{4}\left(-\frac{4}{45}\right)$$

Multiply -\frac{5}{4} times -\frac{4}{45} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-5\left(-4\right)}{4\times 45}$$

Do the multiplications in the fraction \frac{-5\left(-4\right)}{4\times 45}.

$$\frac{20}{180}$$

Reduce the fraction \frac{20}{180} to lowest terms by extracting and canceling out 20.

$$\frac{1}{9}$$

Factor

$$\frac{1}{3 ^ {2}} = 0.1111111111111111$$