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

User Pgiecek
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1 Answer

2 votes

(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

User Shao
by
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