#1:Which ratios form a proportion? Use equivalent ratios to test each pair.
A: 4/9, 2/3
B: 6/15, 9/12
C: 12/16, 15/20
D:18/20, 24/30
explain how o do it plsss
(C) 3/4
I will do one for you
B:
if 6/15 = 9/12 then 6(12) = 15(9), which is FALSE
or you can reduce each to lowest form
6/15 = 3/5
9/12 = 3/4 , obviously not the same
do the others the same way
its C
To determine if ratios form a proportion, we need to check if they are equivalent, meaning they have the same value. One way to do this is by simplifying the ratios to their simplest form and then comparing them.
Let's check each pair of ratios:
A: 4/9, 2/3
Start by simplifying the ratios:
4/9 = 2/3 (when multiplied by 2/2, results in the same fraction)
Since both ratios simplify to the same value, they are equivalent and form a proportion.
B: 6/15, 9/12
Simplify the ratios:
6/15 = 2/5 (when divided by 3/3)
9/12 = 3/4 (when divided by 3/3)
Since the simplified ratios are not equal, they are not equivalent and do not form a proportion.
C: 12/16, 15/20
Simplify the ratios:
12/16 = 3/4 (when divided by 4/4)
15/20 = 3/4 (when divided by 5/5)
Both ratios simplify to the same value, so they are equivalent and form a proportion.
D: 18/20, 24/30
Simplify the ratios:
18/20 = 9/10 (when divided by 2/2)
24/30 = 4/5 (when divided by 6/6)
The simplified ratios are not the same, so they are not equivalent and do not form a proportion.
In conclusion, the ratios that form a proportion are A (4/9, 2/3) and C (12/16, 15/20).