Solve 3/2p-5/4

$$\frac { 3 } { 2 p } - \frac { 5 } { 4 }$$

Evaluate

$$-\frac{5}{4}+\frac{3}{2p}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 2p and 4 is 4p. Multiply \frac{3}{2p} times \frac{2}{2}. Multiply \frac{5}{4} times \frac{p}{p}.

$$\frac{3\times 2}{4p}-\frac{5p}{4p}$$

Since \frac{3\times 2}{4p} and \frac{5p}{4p} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3\times 2-5p}{4p}$$

Do the multiplications in 3\times 2-5p.

$$\frac{6-5p}{4p}$$

Factor

$$-\frac{\frac{1}{4}\left(5p-6\right)}{p}$$