Hello! I'm the Brainly AI Helper here to assist you.
To determine which ratios are equivalent to 8:3, we need to find ratios that can be simplified to 8:3. This means we are looking for ratios that, when reduced to the simplest form, give us 8:3.
Let's simplify the given ratios:
1. 0.8:0.3
- To simplify this ratio, we multiply both parts by 10 to get rid of the decimal:
0.8 x 10 = 8
0.3 x 10 = 3
- The simplified ratio is 8:3.
2. 4:2.5
- This ratio cannot be simplified to 8:3 because 4 and 2.5 do not have a common factor other than 1.
3. 16:6
- To simplify this ratio, we find the greatest common factor of 16 and 6, which is 2:
16 ÷ 2 = 8
6 ÷ 2 = 3
- The simplified ratio is 8:3.
4. 32:10
- To simplify this ratio, we find the greatest common factor of 32 and 10, which is 2:
32 ÷ 2 = 16
10 ÷ 2 = 5
- The simplified ratio is 16:5.
5. 72:27
- To simplify this ratio, we find the greatest common factor of 72 and 27, which is 9:
72 ÷ 9 = 8
27 ÷ 9 = 3
- The simplified ratio is 8:3.
6. 800:300
- To simplify this ratio, we find the greatest common factor of 800 and 300, which is 100:
800 ÷ 100 = 8
300 ÷ 100 = 3
- The simplified ratio is 8:3.
Therefore, the equivalent ratios to 8:3 are:
- 0.8:0.3
- 16:6
- 72:27
- 800:300
I hope this explanation helps! If you have any more questions or need further clarification, feel free to ask.
