Solve 27/2-3+p=

$$\frac { 27 } { 2 } - 3 + p =$$

Evaluate

$$p = \frac{21}{2} = 10\frac{1}{2} = 10.5$$

Solution Steps

Convert 3 to fraction \frac{6}{2}.

$$\frac{27}{2}-\frac{6}{2}+p$$

Since \frac{27}{2} and \frac{6}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{27-6}{2}+p$$

Subtract 6 from 27 to get 21.

$$\frac{21}{2}+p$$

Factor

$$\frac{2p+21}{2}$$

Solution Steps

Factor out \frac{1}{2}.

$$\frac{21+2p}{2}$$

Consider 27-6+2p. Multiply and combine like terms.

$$2p+21$$

Rewrite the complete factored expression.

$$\frac{2p+21}{2}$$