Question

Which of the following fractions is equivalent to 3/8?

A.6/14
B.9/24
C.4/9
D.15/35

Answer 1

The fraction equivalent to 3/8 is 9/24 because when you simplify 9/24 by dividing both numerator and denominator by 3, you obtain the fraction 3/8. So the correct option is B.

Step-by-step explanation:

To find which fraction is equivalent to 3/8, we need to identify a fraction that can be simplified to 3/8 or a fraction whose numerator and denominator are multiples of 3 and 8, respectively.

• A. 6/14 cannot be simplified to 3/8.
• B. 9/24 is equivalent because when you divide the numerator and the denominator by 3, you get 3/8.
• C. 4/9 cannot be simplified to 3/8.
• D. 15/35 cannot be simplified to 3/8.

Therefore, the correct answer is B. 9/24, which is the fraction equivalent to 3/8.

Answer 2

I'm going to suggest that we take these and "UN-simplify" them.

For each choice, divide the numerator by 3 and the denominator by 8.

Look at this:

A). 6/14

6 ÷ 3 = 2
14 ÷ 8 = 1.875 ===> 2/1.875 not interesting


B). skip B for just a second

C). 4/9

4 ÷ 3 = 1.33
9 ÷ 8 = 1.125 ===> 1.33/1.125 not interesting

D). 15/35

15 ÷ 3 = 5
35 ÷ 8 = 4.375 ===> 5/4.375 not interesting

But now look at choice-B:

B). 9/24

9 ÷ 3 = 3
24 ÷ 8 = 3 ===> 1/1 interesting !

-- To simplify 9/24, the top and bottom were divided by 3, giving 3/8.

-- To UN-simplify 3/8, the top and bottom were multiplied by 3, giving 9/24.

-- Choice-B is the one that's equivalent to 3/8.
______________________________________________

OK. All of that wasn't really necessary.
All you really need to do is take each choice and simplify it.

A). 6/14
Divide top and bottom by 2 ===> 3/7

B). 9/24
Divide top and bottom by 3 ===> 3/8

C). 4/9
Can't be simplified. Already in simplest form.

D). 15/35
Divide top and bottom by 5 ===> 3/7