Write the ratio 12:36

Question

as an equivalent ratio of x:3
.

Answer 1

To convert the ratio \( 12:36 \) into an equivalent ratio of \( x:3 \), we can set up a proportion based on the given ratios:

\[ \frac{12}{36} = \frac{x}{3} \]

First, we simplify the left side of the equation:

\[ \frac{12}{36} = \frac{1}{3} \]

Now, our equation becomes:

\[ \frac{1}{3} = \frac{x}{3} \]

By cross-multiplying, we can solve for \( x \):

\[ 1 \cdot 3 = x \cdot 1 \implies 3 = x \]

Thus, the equivalent ratio is:

\[ \boxed{3:3} \]

Or simply \( 1:1 \) when reduced to the simplest form.