Question

Select all ratios equivalent to 8:5.
88:55
72:45
24:3

Answer 1

To determine the ratios equivalent to 8:5, we will simplify each of the given ratios to see if they reduce to the same ratio.

1. **88:55**
Divide both numbers by their greatest common divisor (GCD). The GCD of 88 and 55 is 11.
\[
\frac{88 \div 11}{55 \div 11} = \frac{8}{5}
\]
So, 88:55 is equivalent to 8:5.

2. **72:45**
The GCD of 72 and 45 is 9.
\[
\frac{72 \div 9}{45 \div 9} = \frac{8}{5}
\]
So, 72:45 is equivalent to 8:5.

3. **24:3**
The GCD of 24 and 3 is 3.
\[
\frac{24 \div 3}{3 \div 3} = \frac{8}{1}
\]
This reduces to 8:1, which is not equivalent to 8:5.

In summary, the ratios that are equivalent to 8:5 are:
- 88:55
- 72:45

The ratio 24:3 is not equivalent.