Question

Simplify the following: $4\frac{5}{6}p-2\frac{1}{3}p-1\frac{1}{2}p+3p$

Answer 1

The given expression is : $4\frac{5}{6}p-2\frac{1}{3}p-1\frac{1}{2}p+3p$

The like terms can be added and gathered the same sign terms then simplify.

Simplifying the expression: $4\frac{5}{6}p-2\frac{1}{3}p-1\frac{1}{2}p+3p$

$=$$\frac{29}{6}p-\frac{7}{3}p-\frac{3}{2}p+3p$

$=$$\frac{29p-14p-9p+18p}{6}$ ( Since LCM of denominators is 6)

$=$$\frac{29p+18-14p-9p}{6}$

$=$$\frac{47p-23p}{6}=\frac{24}{6}p=4p$

Therefore, simplification of the given expression is $4p$