Solve (-5/8)div(-5/12)

$$( - \frac { 5 } { 8 } ) \div ( - \frac { 5 } { 12 } )$$

Evaluate

$$\frac{3}{2}=1.5$$

Solution Steps

Divide -\frac{5}{8} by -\frac{5}{12} by multiplying -\frac{5}{8} by the reciprocal of -\frac{5}{12}.

$$-\frac{5}{8}\left(-\frac{12}{5}\right)$$

Multiply -\frac{5}{8} times -\frac{12}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-5\left(-12\right)}{8\times 5}$$

Do the multiplications in the fraction \frac{-5\left(-12\right)}{8\times 5}.

$$\frac{60}{40}$$

Reduce the fraction \frac{60}{40} to lowest terms by extracting and canceling out 20.

$$\frac{3}{2}$$

Factor

$$\frac{3}{2} = 1\frac{1}{2} = 1.5$$