Answer :

To find the equivalent ratio of 56:88 in simplest terms, follow these steps:

1. Identify the numbers in the ratio:
- The numbers given in the ratio are 56 and 88.

2. Determine the greatest common divisor (GCD):
- The greatest common divisor (GCD) of 56 and 88 can be identified. For these numbers, the GCD is 8.

3. Divide both numbers by the GCD to simplify the ratio:
- Divide 56 by 8: [tex]\(\frac{56}{8} = 7\)[/tex]
- Divide 88 by 8: [tex]\(\frac{88}{8} = 11\)[/tex]

4. Write the simplified ratio:
- The simplified form of the ratio 56:88 is 7:11.

So, the equivalent ratio in simplest terms is:
[tex]$ 7:11 $[/tex]