Solve -1/16-1/8-3p+5/2

$$- \frac { 1 } { 16 } - \frac { 1 } { 8 } - 3 p + 5 / 2$$

Evaluate

$$\frac{37}{16}-3p$$

Solution Steps

Least common multiple of 16 and 8 is 16. Convert -\frac{1}{16} and \frac{1}{8} to fractions with denominator 16.

$$-\frac{1}{16}-\frac{2}{16}-3p+\frac{5}{2}$$

Since -\frac{1}{16} and \frac{2}{16} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-1-2}{16}-3p+\frac{5}{2}$$

Subtract 2 from -1 to get -3.

$$-\frac{3}{16}-3p+\frac{5}{2}$$

Least common multiple of 16 and 2 is 16. Convert -\frac{3}{16} and \frac{5}{2} to fractions with denominator 16.

$$-\frac{3}{16}-3p+\frac{40}{16}$$

Since -\frac{3}{16} and \frac{40}{16} have the same denominator, add them by adding their numerators.

$$\frac{-3+40}{16}-3p$$

Add -3 and 40 to get 37.

$$\frac{37}{16}-3p$$

Factor

$$\frac{37-48p}{16}$$

Solution Steps

Factor out \frac{1}{16}.

$$\frac{37-48p}{16}$$

Consider -1-2-48p+40. Multiply and combine like terms.

$$-48p+37$$

Rewrite the complete factored expression.

$$\frac{-48p+37}{16}$$