Which Ratios form a proportion?
A.) 3/15,12/15
B.) 8/24,12/35
C.) 5/18, 25/90
D.). 4/11, 16/25
My answer is C, 5/18, 25/90
Correct : )
Thanks!
To determine if two ratios form a proportion, we need to check if they are equivalent ratios. In other words, we need to see if the fractions reduce to the same value.
Let's go through each set of ratios and simplify them:
A.) 3/15, 12/15
To simplify 3/15, we divide both numerator and denominator by their greatest common divisor, which is 3. Therefore, we get 1/5.
To simplify 12/15, we divide both numerator and denominator by their greatest common divisor, which is 3. Therefore, we get 4/5.
Since 1/5 is not equal to 4/5, A) does not form a proportion.
B.) 8/24, 12/35
To simplify 8/24, we divide both numerator and denominator by their greatest common divisor, which is 8. Therefore, we get 1/3.
To simplify 12/35, we can't simplify further since 12 and 35 do not have a common factor other than 1.
Since 1/3 is not equal to 12/35, B) does not form a proportion.
C.) 5/18, 25/90
To simplify 5/18, we can't simplify further since 5 and 18 do not have a common factor other than 1.
To simplify 25/90, we can divide both numerator and denominator by 5, which gives us 5/18.
Since 5/18 is equal to 5/18, C) forms a proportion.
D.) 4/11, 16/25
To simplify 4/11, we can't simplify further since 4 and 11 do not have a common factor other than 1.
To simplify 16/25, we can't simplify further since 16 and 25 do not have a common factor other than 1.
Since 4/11 is not equal to 16/25, D) does not form a proportion.
Therefore, the only set of ratios that form a proportion is C) 5/18, 25/90.