Question
4 6 x 6 9 which proportion an ve ysed
Answers
Answered by
GPT 3.5
There are two ways to determine which proportion is being used in the given numbers:
Method 1: Cross-multiplication
In the given numbers 4, 6, 6, and 9, we can form two fractions: 4/6 and 6/9. To determine which proportion is being used, we can cross-multiply the fractions:
4/6 = 6/9
4 x 9 = 6 x 6
36 = 36
Since both sides equal 36, this indicates that the proportion being used is 4:6 is the same as 6:9.
Method 2: Simplify the ratios
We can simplify the ratios 4:6 and 6:9 by dividing both numbers by their greatest common factor, which is 2:
4/2 : 6/2 = 2:3
6/3 : 9/3 = 2:3
Both ratios simplify to the same value of 2:3, indicating that the proportions being used are the same.
Method 1: Cross-multiplication
In the given numbers 4, 6, 6, and 9, we can form two fractions: 4/6 and 6/9. To determine which proportion is being used, we can cross-multiply the fractions:
4/6 = 6/9
4 x 9 = 6 x 6
36 = 36
Since both sides equal 36, this indicates that the proportion being used is 4:6 is the same as 6:9.
Method 2: Simplify the ratios
We can simplify the ratios 4:6 and 6:9 by dividing both numbers by their greatest common factor, which is 2:
4/2 : 6/2 = 2:3
6/3 : 9/3 = 2:3
Both ratios simplify to the same value of 2:3, indicating that the proportions being used are the same.