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

1 answer

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:

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