Solve 1+4.25n+3/2p-3+(-2p)+5/4n

$$1 + 4.25 n + \frac { 3 } { 2 } p - 3 + ( - 2 p ) + \frac { 5 } { 4 } n$$

Evaluate

$$\frac{11n}{2}-\frac{p}{2}-2$$

Solution Steps

Subtract 3 from 1 to get -2.

$$-2+4.25n+\frac{3}{2}p-2p+\frac{5}{4}n$$

Combine \frac{3}{2}p and -2p to get -\frac{1}{2}p.

$$-2+4.25n-\frac{1}{2}p+\frac{5}{4}n$$

Combine 4.25n and \frac{5}{4}n to get \frac{11}{2}n.

$$-2+\frac{11}{2}n-\frac{1}{2}p$$

Factor

$$\frac{11n-p-4}{2}$$

Solution Steps

Subtract 3 from 1 to get -2.

$$factor(-2+4.25n+\frac{3}{2}p-2p+\frac{5}{4}n)$$

Combine \frac{3}{2}p and -2p to get -\frac{1}{2}p.

$$factor(-2+4.25n-\frac{1}{2}p+\frac{5}{4}n)$$

Combine 4.25n and \frac{5}{4}n to get \frac{11}{2}n.

$$factor(-2+\frac{11}{2}n-\frac{1}{2}p)$$

Factor out \frac{1}{2}.

$$\frac{-4+11n-p}{2}$$