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 _ is a proportion.
Option 1: 7/8=20/22
To determine which option is a proportion, we need to check if the two fractions are equal.
Let's simplify the fractions in both options to see if they are equivalent.
Option 1:
7/8 = 20/22
To simplify 20/22, we can divide both numerator and denominator by their greatest common divisor, which is 2.
20 ÷ 2 = 10
22 ÷ 2 = 11
So, option 1 becomes:
7/8 = 10/11
Option 2:
7/8 = 21/24
To simplify 21/24, we can also divide both numerator and denominator by their greatest common divisor, which is 3.
21 ÷ 3 = 7
24 ÷ 3 = 8
So, option 2 becomes:
7/8 = 7/8
Now, by comparing both options, we see that option 2 is a proportion because the two fractions are identical (both are 7/8).
Therefore, the answer is Option 2.