Which of the following, Option 1 or Option 2, is a proportion?
Option 1: 7/8=20/22
Option 2: 7/8=21/24
option 2
To determine which option is a proportion, we need to check if the fractions on both sides of the equation are equal.
Option 1: 7/8 = 20/22
To determine if this is a proportion, we can cross-multiply and check if the products are equal:
(7)(22) = (8)(20)
154 = 160
Since 154 is not equal to 160, option 1 is not a proportion.
Option 2: 7/8 = 21/24
Again, to determine if this is a proportion, we can cross-multiply and check if the products are equal:
(7)(24) = (8)(21)
168 = 168
Since 168 is equal to 168, option 2 is a proportion.
Therefore, option 2, 7/8 = 21/24, is a proportion.
To determine whether Option 1 or Option 2 is a proportion, we need to check if the ratio of the numbers on each side of the equation is equal.
For Option 1, we have 7/8 on the left side and 20/22 on the right side. To compare them, we simplify both fractions:
7/8 = (7 ÷ 1) / (8 ÷ 1) = 7/8
20/22 = (20 ÷ 2) / (22 ÷ 2) = 10/11
The simplified fractions are not equal: 7/8 is not the same as 10/11. Therefore, Option 1 is not a proportion.
For Option 2, we have 7/8 on the left side and 21/24 on the right side. Again, we simplify both fractions:
7/8 = (7 ÷ 1) / (8 ÷ 1) = 7/8
21/24 = (21 ÷ 3) / (24 ÷ 3) = 7/8
The simplified fractions are equal: 7/8 is the same as 7/8. Therefore, Option 2 is a proportion.
In conclusion, Option 2 is the proportion since the ratio of the numbers on both sides of the equation is equal.
ANSWER = option 2 is a proportion. (option 2 is 7/8 = 21/24) :D
Option 1 is a proportion.
To check if two ratios are proportional, we cross-multiply and see if the product of the means equal the product of the extremes. In this case,
For Option 1:
7 x 22 = 8 x 20
154 = 160
The products of the means and extremes are equal indicating that the ratios are proportional.
For Option 2:
7 x 24 ≠ 8 x 21
168 ≠ 168
The products of the means and extremes are not equal indicating that the ratios are not proportional.