Use the given tables to compare the ratios 7:9 and 4:6 .

Question

7 9
14 18
21 27
28 36
35 45
4 6
8 12
12 18
16 24
20 30

Answer 1

To compare the ratios 7:9 and 4:6, we need to check whether the corresponding pairs of numbers in each ratio are equal.

For the first ratio 7:9:
- The first pair is 7 and 9, which are not equal to 4 and 6 in the second ratio.
- The second pair is 14 and 18, which are also not equal to the numbers in the second ratio.
- The third pair is 21 and 27, still not equal to the numbers in the second ratio.
- The fourth pair is 28 and 36, still not equal to the numbers in the second ratio.
- The fifth pair is 35 and 45, still not equal to the numbers in the second ratio.

For the second ratio 4:6:
- The first pair is 4 and 6, which are equal to the numbers in the second ratio.
- The second pair is 8 and 12, again equal to the numbers in the second ratio.
- The third pair is 12 and 18, still equal to the numbers in the second ratio.
- The fourth pair is 16 and 24, still equal to the numbers in the second ratio.
- The fifth pair is 20 and 30, still equal to the numbers in the second ratio.

Based on these comparisons, we can see that the second ratio 4:6 is equal to the simplified form of 2:3.