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do the ratios 18:6 and 15:5 form a proportion yes no

Question

do the ratios 18:6 and 15:5 form a proportion yes no

Explanation:

Step1: Simplify 18:6

To simplify the ratio \(18:6\), we divide both terms by their greatest common divisor, which is 6. So, \(\frac{18}{6}:\frac{6}{6} = 3:1\) or \(3\) (as a single number representing the ratio value).

Step2: Simplify 15:5

For the ratio \(15:5\), we divide both terms by their greatest common divisor, which is 5. So, \(\frac{15}{5}:\frac{5}{5}=3:1\) or \(3\) (as a single number representing the ratio value).

Step3: Compare the simplified ratios

Since both \(18:6\) (simplified to \(3\)) and \(15:5\) (simplified to \(3\)) have the same ratio value, they form a proportion.

Answer:

yes