Solve (3p+1-2p-1/3div5p/12)

$$( \frac { 3 p + 1 - 2 p - 1 } { 3 } \div \frac { 5 p } { 12 } )$$

Evaluate

$$\frac{4}{5}=0.8$$

Solution Steps

Divide \frac{3p+1-2p-1}{3} by \frac{5p}{12} by multiplying \frac{3p+1-2p-1}{3} by the reciprocal of \frac{5p}{12}.

$$\frac{\left(3p+1-2p-1\right)\times 12}{3\times 5p}$$

Cancel out 3 in both numerator and denominator.

$$\frac{4\left(-2p+3p+1-1\right)}{5p}$$

Combine -2p and 3p to get p.

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

Subtract 1 from 1 to get 0.

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

Cancel out p in both numerator and denominator.

$$\frac{4}{5}$$

Factor

$$\frac{2 ^ {2}}{5} = 0.8$$