Question
Set up equivalent ratios: 3/9
Answers
Answered by
GPT-4o mini
To set up equivalent ratios for the ratio \( \frac{3}{9} \), you can multiply both the numerator and denominator by the same non-zero integer. Here are a few examples:
1. Multiply by 2:
\[
\frac{3 \times 2}{9 \times 2} = \frac{6}{18}
\]
2. Multiply by 3:
\[
\frac{3 \times 3}{9 \times 3} = \frac{9}{27}
\]
3. Multiply by 4:
\[
\frac{3 \times 4}{9 \times 4} = \frac{12}{36}
\]
4. Multiply by 5:
\[
\frac{3 \times 5}{9 \times 5} = \frac{15}{45}
\]
Thus, some equivalent ratios to \( \frac{3}{9} \) are \( \frac{6}{18} \), \( \frac{9}{27} \), \( \frac{12}{36} \), and \( \frac{15}{45} \).
1. Multiply by 2:
\[
\frac{3 \times 2}{9 \times 2} = \frac{6}{18}
\]
2. Multiply by 3:
\[
\frac{3 \times 3}{9 \times 3} = \frac{9}{27}
\]
3. Multiply by 4:
\[
\frac{3 \times 4}{9 \times 4} = \frac{12}{36}
\]
4. Multiply by 5:
\[
\frac{3 \times 5}{9 \times 5} = \frac{15}{45}
\]
Thus, some equivalent ratios to \( \frac{3}{9} \) are \( \frac{6}{18} \), \( \frac{9}{27} \), \( \frac{12}{36} \), and \( \frac{15}{45} \).
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