Question

Are the ratios 1:2 and 6:12 equivalent?

Answer 1

Yes, the ratios 1:2 and 6:12 are equivalent.

To determine if two ratios are equivalent, you can simplify them or compare their fractions.

For the ratio 1:2, it can be expressed as the fraction \( \frac{1}{2} \).

For the ratio 6:12, you can simplify it:
\[
\frac{6}{12} = \frac{6 \div 6}{12 \div 6} = \frac{1}{2}
\]

Since both ratios simplify to \( \frac{1}{2} \), they are equivalent.