Solve -2(a/2+3/15)

$$- 2 ( \frac { a } { 2 } + \frac { 3 } { 15 } )$$

Evaluate

$$-a-\frac{2}{5}$$

Solution Steps

Reduce the fraction \frac{3}{15} to lowest terms by extracting and canceling out 3.

$$-2\left(\frac{a}{2}+\frac{1}{5}\right)$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 2 and 5 is 10. Multiply \frac{a}{2} times \frac{5}{5}. Multiply \frac{1}{5} times \frac{2}{2}.

$$-2\left(\frac{5a}{10}+\frac{2}{10}\right)$$

Since \frac{5a}{10} and \frac{2}{10} have the same denominator, add them by adding their numerators.

$$-2\times \frac{5a+2}{10}$$

Cancel out 10, the greatest common factor in 2 and 10.

$$\frac{5a+2}{-5}$$

Multiply both numerator and denominator by -1.

$$\frac{-5a-2}{5}$$

Expand

$$-a-\frac{2}{5}$$

Solution Steps

Reduce the fraction \frac{3}{15} to lowest terms by extracting and canceling out 3.

$$-2\left(\frac{a}{2}+\frac{1}{5}\right)$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 2 and 5 is 10. Multiply \frac{a}{2} times \frac{5}{5}. Multiply \frac{1}{5} times \frac{2}{2}.

$$-2\left(\frac{5a}{10}+\frac{2}{10}\right)$$

Since \frac{5a}{10} and \frac{2}{10} have the same denominator, add them by adding their numerators.

$$-2\times \frac{5a+2}{10}$$

Cancel out 10, the greatest common factor in 2 and 10.

$$\frac{5a+2}{-5}$$

Multiply both numerator and denominator by -1.

$$\frac{-5a-2}{5}$$