Question

Are these ratios equivalent? 36 medium gloves to 8 small gloves 18 medium gloves to 4 small gloves

Answer 1

To determine if the ratios 36 medium gloves to 8 small gloves and 18 medium gloves to 4 small gloves are equivalent, we can simplify both ratios.

1. For the first ratio:
\[
\frac{36 \text{ medium gloves}}{8 \text{ small gloves}} = \frac{36 \div 4}{8 \div 4} = \frac{9}{2}
\]

2. For the second ratio:
\[
\frac{18 \text{ medium gloves}}{4 \text{ small gloves}} = \frac{18 \div 2}{4 \div 2} = \frac{9}{2}
\]

Both ratios simplify to \(\frac{9}{2}\), so yes, the ratios are equivalent.