Sure, I'd be happy to write two ratios that are equivalent to 3:11.
### Step-by-Step Solution:
1. Understanding Ratios:
A ratio compares two quantities and tells us how much of one thing there is compared to another. The ratio 3:11 means for every 3 units of one quantity, there are 11 units of another quantity.
2. Finding Equivalent Ratios:
To find ratios equivalent to 3:11, we multiply both the numerator (3) and the denominator (11) by the same number. Here, we'll find two such pairs.
3. First Equivalent Ratio:
- Multiply both parts of the ratio 3:11 by 2.
- [tex]\( 3 \times 2 = 6 \)[/tex]
- [tex]\( 11 \times 2 = 22 \)[/tex]
- So, the first equivalent ratio is 6:22.
4. Second Equivalent Ratio:
- Multiply both parts of the ratio 3:11 by 3.
- [tex]\( 3 \times 3 = 9 \)[/tex]
- [tex]\( 11 \times 3 = 33 \)[/tex]
- So, the second equivalent ratio is 9:33.
### Final Answer:
The two ratios that are equivalent to 3:11 are:
- 6:22
- 9:33
