Write any two equivalent ratios for each ratio.
1) 1:2
2) 4:9
1) Two equivalent ratios for 1:2 are:
- 2:4
- 3:6
2) Two equivalent ratios for 4:9 are:
- 8:18
- 12:27
1:2 = x/2x
for any x but zero
4:9 = 4 x / 9 x
for any x but zero
Apologies for the mistake in my previous response. Here are the correct equivalent ratios:
1) Two equivalent ratios for 1:2 are:
- 2:4
- 3:6
2) Two equivalent ratios for 4:9 are:
- 8:18
- 12:27
To find equivalent ratios, we need to multiply or divide both sides of the given ratio by the same number.
1) For the ratio 1:2, let's find two equivalent ratios:
- Equivalent Ratio 1: Multiply both sides by 2:
1 * 2 = 2, 2 * 2 = 4, so the ratio becomes 2:4.
- Equivalent Ratio 2: Multiply both sides by 3:
1 * 3 = 3, 2 * 3 = 6, so the ratio becomes 3:6.
Therefore, two equivalent ratios for 1:2 are 2:4 and 3:6.
2) For the ratio 4:9, let's find two equivalent ratios:
- Equivalent Ratio 1: Divide both sides by 2:
4 ÷ 2 = 2, 9 ÷ 2 = 4.5, so the ratio becomes 2:4.5.
- Equivalent Ratio 2: Multiply both sides by 3:
4 * 3 = 12, 9 * 3 = 27, so the ratio becomes 12:27.
Therefore, two equivalent ratios for 4:9 are 2:4.5 and 12:27.