Determine if 2.5/10 =^? 12/48 or 2.5/2 =^? 12/24 is a proportion.
To determine if a given pair of fractions is a proportion, we need to see if their cross-products are equal.
First, let's check if 2.5/10 = 12/48 is a proportion:
The cross-products are (2.5)(48) = 120 and (10)(12) = 120.
Since the cross-products are equal, we can conclude that 2.5/10 = 12/48 is a proportion.
Now, let's check if 2.5/2 = 12/24 is a proportion:
The cross-products are (2.5)(24) = 60 and (2)(12) = 24.
Since the cross-products are not equal, we can conclude that 2.5/2 = 12/24 is not a proportion.
To summarize:
2.5/10 = 12/48 is a proportion.
2.5/2 = 12/24 is not a proportion.