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

Answer 1

To compare the ratios 7:9 and 4:6, we need to find their equivalent forms with the same denominator.

Let's start with the ratio 7:9. To find an equivalent ratio with the same denominator as 4:6, we can multiply both the numerator and the denominator by 2:
7 * 2 = 14
9 * 2 = 18

So, the equivalent ratio of 7:9 with the same denominator as 4:6 is 14:18.

Now let's compare 14:18 with 4:6. To make the comparison easier, we can simplify both ratios by dividing both the numerator and the denominator by their greatest common divisor.

The greatest common divisor of 14 and 18 is 2. Dividing both by 2 yields:
14 ÷ 2 = 7
18 ÷ 2 = 9

Hence, the simplified ratio 14:18 becomes 7:9.

Therefore, the ratios 7:9 and 4:6 are equivalent.