Question

Simplify - 0.5p + Żp-2.75 0-2.75 + ŽA

Answer 1

we need to simplify

`-0.5+(1)/(2)p-2.75+(2)/(3)p`

hence, this is equal to

`(1)/(2)p+(2)/(3)p-2.75-0.5`

by factoriaing p, we have

`((1)/(2)+(2)/(3))p-(2.75+0.5)`

Since.

`\begin{gathered} (1)/(2)+(2)/(3)=(3\cdot1+2\cdot2)/(6)=(3+4)/(6) \\ (1)/(2)+(2)/(3)=(7)/(6) \\ \text{and } \\ 2.75+0.5=3.25 \end{gathered}`

we have that

`-0.5+(1)/(2)p-2.75+(2)/(3)p=(7)/(6)p-3.25`