Question

Kareem says that the ratio 4 : 1 is equivalent to the ratio 12 : 9 because 4 1 8 5 12 and 1 1 8 5 9. Is Kareem correct? Explain how you know.

Answer 1

$\bf Step-by-step~explanation:$

Kareem's statement: 4:1 is equal to 12:9. Let's see if this is correct.

$\bf Step ~1:$

We have to simplify the ratios. Since 4:1 is already simplified, we do not have to do anything with it. 12:9 could be simplified. To do so, we need to find the greatest common factor (GCF) of both numbers. The GCF of 12 and 9 is 3. Since 3 is the GCF for both numbers, we divide them by 3.

$\bf 12 /3=4\\9/3=3$

First number: 4

Second number: 3

Ratio: 4:3

$\bf Step~2:$

We compare the ratio 4:3 to 4:1. Since they have different values, they are not equivalent to each other.

$\large\boxed{\bf Our~final~answer: ~Kareem~is~wrong.}$

$\bf {Explanation~in~Step~1}$

Answer 2

4 : 1 and 12 : 9 are not equivalent

Kareem is wrong

Correct question:

Kareem says that the ratio 4:1 is equivalent to the ratio 12:9 because

4 + 8 = 12 and 1 + 8 = 9. Is Kareem correct? Explain how you know

4 : 1 is in its simplest form already

12 : 9

= 12/9

= 4/3

= 4 : 3

Therefore,

4 : 1 and 12 : 9 are not equivalent

Kareem is wrong based on his assumption that 4 + 8 = 12 and 1 + 8 = 9

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