Answer:
They are not equivalent.
Explanation:
There are two ways we can prove this:
1) We can turn 24/32 and 14/18 into their most simple form. 24 and 32 have a common multiple of 8 and so if we divide both sides by 8 we get 24/32 most simple form to be 3/4. 14 and 18 have a common multiple of 2 and so if we divide both sides by 2 we get 14/18 most simple form to be 7/9. 3/4 and 7/9 are not equivalent, as can be seen by the simple forms, and therefore 24/32 and 14/18 are not equivalent. (In this method you want to make sure to use each fraction’s LCM).
2) Knowing their simpler forms will help the numbers in this step stay smaller, so this can be a good method to check your work. For this method you are going to find the LCM for 4 and 9, which would be 36. So you can multiply the fraction 3/4 by 9 to get 27/36. Then you can multiply the fraction 7/9 by 4 to get 28/36. With them now having the same denominator it is easy to compare, and we can clearly see that they are not equivalent and that the fraction 14/18 is greater than the fraction 24/32.
I hope this helped!!!
LCM = *Least Common Multiple
* = Least Common Multiple is simply when you are finding common multiples for different numbers, just choosing the smallest one to get its most simple form.