determine if 2.5/10 =? 12/48 or 2.5/2 =? 12/24 is a proportion
Neither is a proportion
2.5/10 = 12/48
Both are proportions
2.5/2 = 12/48
Neither is a proportion
To determine if two fractions are in proportion, we need to check if their cross products are equal.
Let's start with the first comparison: 2.5/10 = 12/48.
To find the cross products, we multiply the numerator of the first fraction by the denominator of the second fraction, and vice versa. So, we have:
(2.5 * 48) = (10 * 12)
120 = 120
Since the cross products are equal, we can conclude that 2.5/10 = 12/48 is a proportion.
Now let's move to the second comparison: 2.5/2 = 12/24.
Again, we find the cross products:
(2.5 * 24) = (2 * 12)
60 = 24
Since the cross products are different, we can conclude that 2.5/2 = 12/24 is not a proportion.
Therefore, the first comparison is a proportion, while the second comparison is not.
To determine if 2.5/10 = 12/48 or 2.5/2 = 12/24 is a proportion, we need to check if the cross products of both fractions are equal.
For the first equation:
2.5/10 = 12/48
Cross multiplying, we get:
2.5 * 48 = 12 * 10
120 = 120
Since the cross products are equal, the first equation, 2.5/10 = 12/48, is a proportion.
Now let's check the second equation:
2.5/2 = 12/24
Cross multiplying, we get:
2.5 * 24 = 12 * 2
60 = 24
Since the cross products are not equal, the second equation, 2.5/2 = 12/24, is not a proportion.