Question

simplify - 0.5p + Żp-2.75 0-2.75 + ŽA

Answer 1

we need to simplify

$-0.5+\frac{1}{2}p-2.75+\frac{2}{3}p$

hence, this is equal to

$\frac{1}{2}p+\frac{2}{3}p-2.75-0.5$

by factoriaing p, we have

$(\frac{1}{2}+\frac{2}{3})p-(2.75+0.5)$

Since.

$\begin{gathered} \frac{1}{2}+\frac{2}{3}=\frac{3\cdot1+2\cdot2}{6}=\frac{3+4}{6} \\ \frac{1}{2}+\frac{2}{3}=\frac{7}{6} \\ \text{and } \\ 2.75+0.5=3.25 \end{gathered}$

we have that

$-0.5+\frac{1}{2}p-2.75+\frac{2}{3}p=\frac{7}{6}p-3.25$