Question

Use the table to answer the question.

bottle 2
6

10 12
case 10 30 50 60
Simplify each ratio in the table to prove that all the ratios are equivalent.

(2 points)
210=
, 630=

, 1050=
, 1260=
Answer
thats wrong
Answered by GPT 3.5
To simplify each ratio in the table, we divide both numbers in the ratio by their greatest common factor.

For the ratio "bottle:case", the greatest common factor of 2 and 10 is 2:
2/2 = 1
10/2 = 5

Therefore, the simplified ratio is 1:5.

For the ratio "6:10", the greatest common factor of 6 and 10 is 2:
6/2 = 3
10/2 = 5

Therefore, the simplified ratio is 3:5.

For the ratio "10:30", the greatest common factor of 10 and 30 is 10:
10/10 = 1
30/10 = 3

Therefore, the simplified ratio is 1:3.

For the ratio "12:50", the greatest common factor of 12 and 50 is 2:
12/2 = 6
50/2 = 25

Therefore, the simplified ratio is 6:25.

The simplified ratios are:
1:5
3:5
1:3
6:25