Solve -(3/1-12/5)(1/3+1/12)=

$$- ( \frac { 3 } { 1 } - \frac { 12 } { 5 } ) ( \frac { 1 } { 3 } + \frac { 1 } { 12 } ) =$$

Evaluate

$$-\frac{1}{4}=-0.25$$

Solution Steps

Anything divided by one gives itself.

$$\left(-\left(3-\frac{12}{5}\right)\right)\left(\frac{1}{3}+\frac{1}{12}\right)$$

Convert 3 to fraction \frac{15}{5}.

$$\left(-\left(\frac{15}{5}-\frac{12}{5}\right)\right)\left(\frac{1}{3}+\frac{1}{12}\right)$$

Since \frac{15}{5} and \frac{12}{5} have the same denominator, subtract them by subtracting their numerators.

$$\left(-\frac{15-12}{5}\right)\left(\frac{1}{3}+\frac{1}{12}\right)$$

Subtract 12 from 15 to get 3.

$$-\frac{3}{5}\left(\frac{1}{3}+\frac{1}{12}\right)$$

Least common multiple of 3 and 12 is 12. Convert \frac{1}{3} and \frac{1}{12} to fractions with denominator 12.

$$-\frac{3}{5}\left(\frac{4}{12}+\frac{1}{12}\right)$$

Since \frac{4}{12} and \frac{1}{12} have the same denominator, add them by adding their numerators.

$$-\frac{3}{5}\times \frac{4+1}{12}$$

Add 4 and 1 to get 5.

$$-\frac{3}{5}\times \frac{5}{12}$$

Multiply -\frac{3}{5} times \frac{5}{12} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-3\times 5}{5\times 12}$$

Cancel out 5 in both numerator and denominator.

$$\frac{-3}{12}$$

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

$$-\frac{1}{4}$$

Factor

$$-\frac{1}{4} = -0.25$$