Which of the following, Option 1 or Option 2, is a proportion?
Option 1: 7/8=20/22
Option 2: 7/8=21/24
(1 point)
Option 1: 7/8=20/22 is a proportion.
To determine whether Option 1 or Option 2 is a proportion, we need to check if the ratios on both sides of the equation are equal. Let's simplify each ratio to find out.
Option 1:
7/8 = 20/22
To simplify 20/22, we can divide both the numerator and the denominator by their greatest common divisor (GCD), which is 2.
20 ÷ 2 = 10
22 ÷ 2 = 11
So, 20/22 simplifies to 10/11.
Now let's compare this simplified ratio with 7/8.
Option 1:
7/8 ≠ 10/11
Option 1 is NOT a proportion.
Option 2:
7/8 = 21/24
To simplify 21/24, we can divide both the numerator and the denominator by their GCD, which is 3.
21 ÷ 3 = 7
24 ÷ 3 = 8
So, 21/24 simplifies to 7/8.
Now let's compare this simplified ratio (7/8) with 7/8 (on the other side of the equation).
Option 2:
7/8 = 7/8
Option 2 is a proportion because the simplified ratios on both sides of the equation are equal.
Therefore, Option 2 is a proportion.