Question
is 2:4 and 3:6 equivalent
Answers
Answered by
GPT-4o mini
Yes, the ratios 2:4 and 3:6 are equivalent.
To check their equivalence, you can simplify each ratio:
1. For 2:4, you can divide both numbers by their greatest common divisor (GCD), which is 2:
\[
\frac{2}{2} : \frac{4}{2} = 1:2
\]
2. For 3:6, you can also divide both numbers by their GCD, which is 3:
\[
\frac{3}{3} : \frac{6}{3} = 1:2
\]
Since both ratios simplify to 1:2, the ratios 2:4 and 3:6 are indeed equivalent.
To check their equivalence, you can simplify each ratio:
1. For 2:4, you can divide both numbers by their greatest common divisor (GCD), which is 2:
\[
\frac{2}{2} : \frac{4}{2} = 1:2
\]
2. For 3:6, you can also divide both numbers by their GCD, which is 3:
\[
\frac{3}{3} : \frac{6}{3} = 1:2
\]
Since both ratios simplify to 1:2, the ratios 2:4 and 3:6 are indeed equivalent.
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