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Determine if it is a true proportion. Please choose the correct letter

Determine if it is a true proportion. Please choose the correct letter-example-1
User Nguyen Phong Thien
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1 Answer

25 votes
25 votes

Given the equation:


((3)/(5))/((14)/(2))=((1)/(2))/((35)/(6))

Let's determine if the proportion is a true proportion.

If the proportionis true, it means the ratio on both sides if the equality are equal.

Now, let's find the ratios.

For the first ratio:


\begin{gathered} ((3)/(5))/((14)/(2)) \\ \\ =(3)/(5)/(14)/(2) \\ \\ \text{ Flip the fraction on the right and change the division symbol to mutilication:} \\ =(3)/(5)*(2)/(14) \\ \\ =(3)/(5)*(1)/(7) \\ \\ =(3*1)/(5*7) \\ \\ =(3)/(35) \end{gathered}

For the second ratio:


\begin{gathered} ((1)/(2))/((35)/(6)) \\ \\ =(1)/(2)/(35)/(6) \\ \\ \text{ Flip the fraction on the right and change the division symbol to mutilication:} \\ =(1)/(2)*(6)/(35) \\ \\ =(1*6)/(2*35) \\ \\ =(6)/(70) \\ \\ =(3)/(35) \end{gathered}

After simlifying, we have:


(3)/(35)=(3)/(35)

Since the equation is true, we can say the proortion is true because it has a constant ratio.

User Anouck
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