Solve -13/5+7y/2

$$- \frac { 13 } { 5 } + \frac { 7 y } { 2 }$$

Evaluate

$$\frac{7y}{2}-\frac{13}{5}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 5 and 2 is 10. Multiply -\frac{13}{5} times \frac{2}{2}. Multiply \frac{7y}{2} times \frac{5}{5}.

$$-\frac{13\times 2}{10}+\frac{5\times 7y}{10}$$

Since -\frac{13\times 2}{10} and \frac{5\times 7y}{10} have the same denominator, add them by adding their numerators.

$$\frac{-13\times 2+5\times 7y}{10}$$

Do the multiplications in -13\times 2+5\times 7y.

$$\frac{-26+35y}{10}$$

Factor

$$\frac{35y-26}{10}$$

Solution Steps

Factor out \frac{1}{10}.

$$\frac{-26+35y}{10}$$