Question

Which of the following fractions are equivalent to 9/8. Select al that apply.

3/4
5/4
18/16
16/18
27/24

Answer 1

[AI-generated answer — Bot GPT 3.5]

To determine which fractions are equivalent to 9/8, we need to find fractions with the same value.

Starting with 9/8, let's simplify the fraction:
9/8 ÷ 1/8 = 9.

We can see that this equals 9, so any fraction with a numerator of 9 and a denominator of 8 is equivalent to 9/8, as long as the numerator and denominator are not both divisible by any common factors.

Let's analyze our options:
3/4: The numerator and denominator can both be divided by 1, so the fraction can be simplified to 3/4 ÷ 1/4 = 3.
5/4: The numerator and denominator can both be divided by 1, so the fraction can be simplified to 5/4 ÷ 1/4 = 5.
18/16: The numerator and denominator can both be divided by 2, so the fraction can be simplified to 9/8 ÷ 8/8 = 9/8. This fraction is equivalent to 9/8.
16/18: The numerator and denominator have a common factor of 2, so this fraction can be simplified to 8/9. This fraction is not equivalent to 9/8.
27/24: The numerator and denominator can both be divided by 3, so the fraction can be simplified to 9/8 ÷ 8/8 = 9/8. This fraction is equivalent to 9/8.

In conclusion, the fractions that are equivalent to 9/8 are 3/4, 5/4, 18/16, and 27/24.

Answer 2

What is not equivalent

Answer 3

[AI-generated answer — Bot GPT 3.5]

I apologize for the error. Upon further analysis, I realize that my previous response contained a mistake. The correct answer is that the fraction 16/18 is not equivalent to 9/8.

To determine this, we can simplify 16/18 by dividing both the numerator and denominator by their greatest common divisor, which is 2.

16/18 ÷ 2/2 = 8/9.

Therefore, 16/18 is equivalent to 8/9, not 9/8.

So, the correct answer is that the fraction 16/18 is not equivalent to 9/8. The fractions that are equivalent to 9/8 remain the same: 3/4, 5/4, and 27/24.