Question

Use the given tables to compare the ratios 7: 9 and 4:6
79
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 create equivalent ratios using the given tables.

For the ratio 7:9:
- Starting with 7, we can see that 7 → 14 → 21 → 28 → 35. So the first column of the equivalent ratio would be 14, 21, 28, 35.
- Starting with 9, we can see that 9 → 18 → 27 → 36 → 45. So the second column of the equivalent ratio would be 18, 27, 36, 45.

For the ratio 4:6:
- Starting with 4, we can see that 4 → 8 → 12 → 16 → 20. So the first column of the equivalent ratio would be 8, 12, 16, 20.
- Starting with 6, we can see that 6 → 12 → 18 → 24 → 30. So the second column of the equivalent ratio would be 12, 18, 24, 30.

Now let's compare the columns of the equivalent ratios for 7:9 and 4:6:

- For the first column, we have 14, 21, 28, 35 for 7:9 and 8, 12, 16, 20 for 4:6.
- For the second column, we have 18, 27, 36, 45 for 7:9 and 12, 18, 24, 30 for 4:6.

We can see that the ratios 7:9 and 4:6 are equal.