Solve 2/3p+1/5-1+5/6p

$$\frac { 2 } { 3 } p + \frac { 1 } { 5 } - 1 + \frac { 5 } { 6 } p$$

Evaluate

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

Solution Steps

Convert 1 to fraction \frac{5}{5}.

$$\frac{2}{3}p+\frac{1}{5}-\frac{5}{5}+\frac{5}{6}p$$

Since \frac{1}{5} and \frac{5}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2}{3}p+\frac{1-5}{5}+\frac{5}{6}p$$

Subtract 5 from 1 to get -4.

$$\frac{2}{3}p-\frac{4}{5}+\frac{5}{6}p$$

Combine \frac{2}{3}p and \frac{5}{6}p to get \frac{3}{2}p.

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

Factor

$$\frac{15p-8}{10}$$

Solution Steps

Factor out \frac{1}{30}.

$$\frac{45p-24}{30}$$

Consider 20p+6-30+25p. Multiply and combine like terms.

$$45p-24$$

Consider 45p-24. Factor out 3.

$$3\left(15p-8\right)$$

Rewrite the complete factored expression.

$$\frac{15p-8}{10}$$