Question

Reduce to lowest term.5p+5q/4p+4q

Answer 1

`(5)/(4)`

Step-by-step explanation

`(5p+5q)/(4p+4q)`

Step 1

factorize

`\begin{gathered} 5p+5q\rightarrow5\text{ is a common factor, so}\rightarrow5(p+q) \\ 4p+4q\rightarrow4\text{ is a common factor, so}\rightarrow4(p+q) \end{gathered}`

hence, the expression would be

`\begin{gathered} (5p+5q)/(4p+4q)=(5(p+q))/(4(p+q)) \\ (5(p+q))/(4(p+q)) \end{gathered}`

Step 2

now, we can see there is the same factor in numerator and denominator (p+q), so it can be eliminated.

`\begin{gathered} (5(p+q))/(4(p+q))=(5)/(4) \\ (5)/(4) \end{gathered}`

therefore, the answer is

`(5)/(4)`

I hope this helps you