Question

are these ratios equivalent?
12 pounds : 10 months
18 pounds : 15 months
yes no

Explanation:

Step 1: Simplify the first ratio

To simplify \( 12 \) pounds : \( 10 \) months, we find the greatest common divisor (GCD) of \( 12 \) and \( 10 \). The GCD of \( 12 \) and \( 10 \) is \( 2 \). Divide both parts by \( 2 \):
\( \frac{12}{2} : \frac{10}{2} = 6 : 5 \)

Step 2: Simplify the second ratio

To simplify \( 18 \) pounds : \( 15 \) months, we find the GCD of \( 18 \) and \( 15 \). The GCD of \( 18 \) and \( 15 \) is \( 3 \). Divide both parts by \( 3 \):
\( \frac{18}{3} : \frac{15}{3} = 6 : 5 \)

Step 3: Compare the simplified ratios

Both ratios simplify to \( 6 : 5 \), so they are equivalent.

Answer:

yes