find the two ratios that are eequivalent to each given ratio
9/12
4/20
15/25
7/12
14/7
11/22
10/3
18/28
12/27
i don't no how to do this so yea please answer
for each fraction multiply with the same number NR and DR
for 9/12
18/24,3/4,27/36
Continue for all the fractions
To find ratios that are equivalent to a given ratio, you need to multiply or divide both the numerator and denominator of the original ratio by the same non-zero number. This will create a new ratio with different values but the same proportion.
Let's work through the examples you provided:
1. 9/12:
- To find an equivalent ratio, you can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 3 in this case:
- 9 ÷ 3 = 3, and 12 ÷ 3 = 4
- Therefore, the simplified ratio is 3/4.
- To find another equivalent ratio, you can continue simplifying:
- 3 ÷ 3 = 1, and 4 ÷ 3 = 4/3
- So, another equivalent ratio is 1/4.
2. 4/20:
- Similarly, divide both the numerator and denominator by their GCD, which is 4 in this case:
- 4 ÷ 4 = 1, and 20 ÷ 4 = 5
- Therefore, the simplified ratio is 1/5.
3. 15/25:
- Divide both the numerator and denominator by their GCD, which is 5:
- 15 ÷ 5 = 3, and 25 ÷ 5 = 5
- Therefore, the simplified ratio is 3/5.
4. 7/12:
- This ratio does not simplify further, so it is already in its simplest form.
5. 14/7:
- This ratio simplifies to 2/1.
6. 11/22:
- Divide both the numerator and denominator by their GCD, which is 11:
- 11 ÷ 11 = 1, and 22 ÷ 11 = 2
- Therefore, the simplified ratio is 1/2.
7. 10/3:
- This ratio does not simplify further, so it is already in its simplest form.
8. 18/28:
- Divide both the numerator and denominator by their GCD, which is 2:
- 18 ÷ 2 = 9, and 28 ÷ 2 = 14
- Therefore, the simplified ratio is 9/14.
9. 12/27:
- Divide both the numerator and denominator by their GCD, which is 3:
- 12 ÷ 3 = 4, and 27 ÷ 3 = 9
- Therefore, the simplified ratio is 4/9.
By following the steps above, you can find equivalent ratios for any given ratio.