Question

Determine the value of n that will make the ratios equivalent.(1 point) 54=30n n =

Answer 1

To determine the value of \( n \) that will make the ratio \( \frac{54}{30} = n \), you can set up the equation:

\[
54 = 30n
\]

To solve for \( n \), divide both sides by \( 30 \):

\[
n = \frac{54}{30}
\]

Now, simplify \( \frac{54}{30} \):

1. Find the greatest common divisor (GCD) of 54 and 30, which is 6.
2. Divide both the numerator and the denominator by their GCD:

\[
n = \frac{54 \div 6}{30 \div 6} = \frac{9}{5}
\]

Therefore, the value of \( n \) that makes the ratios equivalent is:

\[
n = \frac{9}{5}
\]