Solve (-7/12+4/12)*(-12/5)

$$( - \frac { 7 } { 12 } + \frac { 4 } { 12 } ) \times ( - \frac { 12 } { 5 } )$$

Evaluate

$$\frac{3}{5}=0.6$$

Solution Steps

Since -\frac{7}{12} and \frac{4}{12} have the same denominator, add them by adding their numerators.

$$\frac{-7+4}{12}\left(-\frac{12}{5}\right)$$

Add -7 and 4 to get -3.

$$\frac{-3}{12}\left(-\frac{12}{5}\right)$$

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

$$-\frac{1}{4}\left(-\frac{12}{5}\right)$$

Multiply -\frac{1}{4} times -\frac{12}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-\left(-12\right)}{4\times 5}$$

Do the multiplications in the fraction \frac{-\left(-12\right)}{4\times 5}.

$$\frac{12}{20}$$

Reduce the fraction \frac{12}{20} to lowest terms by extracting and canceling out 4.

$$\frac{3}{5}$$

Factor

$$\frac{3}{5} = 0.6$$