Both ratios represent the same comparison of 4 units to 5 units, and they are equivalent.
Step-by-step explanation:
The ratios 4:5 and 8:10 are equivalent because they represent the same comparison between two quantities.
To see why, we can simplify both ratios by dividing each term by the greatest common factor (GCF) of the two terms. The GCF of 4 and 5 is 1, and the GCF of 8 and 10 is 2.
For the ratio 4:5, we can divide both terms by 1:
4 ÷ 1 = 4
5 ÷ 1 = 5
So the simplified ratio is 4:5.
For the ratio 8:10, we can divide both terms by 2:
8 ÷ 2 = 4
10 ÷ 2 = 5
So the simplified ratio is also 4:5.
Therefore, both ratios represent the same comparison of 4 units to 5 units, and they are equivalent.