Which of the following, Option 1 or Option 2, is a proportion?
Option 1: 5/6=15/18
Option 2: 5/6=20/18
(1 point)
Option
is a proportion.
To determine which option is a proportion, we need to check if the two fractions on both sides of the equation are equal.
For Option 1:
5/6 = 15/18
To check if this is a proportion, we can simplify the fractions:
5/6 = (5 * 3)/(6 * 3)
5/6 = 15/18
Since the fractions on both sides are equal, Option 1 is a proportion.
For Option 2:
5/6 = 20/18
To check if this is a proportion, we can simplify the fractions:
5/6 = (5 * 4)/(6 * 3)
5/6 = 20/18
The fractions on both sides are not equal, so Option 2 is not a proportion.
Therefore, the correct answer is Option 1.
Option 1 is a proportion.
To determine if Option 1 or Option 2 is a proportion, we need to check if the fractions on both sides of the equal sign are equal.
For Option 1: 5/6 = 15/18
To check if this is a proportion, we can cross-multiply and see if the products are equal:
5 * 18 = 6 * 15
90 = 90
Since the products on both sides are equal, Option 1 is indeed a proportion.
Now let's check Option 2: 5/6 = 20/18
Cross-multiplying:
5 * 18 = 6 * 20
90 ≠ 120
The products on both sides are not equal, so Option 2 is not a proportion.
Therefore, Option 1 is the proportion in this case.