Final answer:
The fraction equivalent to 3/8 is option B: 9/24, as it simplifies to 3/8 when both the numerator and the denominator are divided by 3.
Step-by-step explanation:
To find a fraction equivalent to 3/8, we need to find a fraction that has a different numerator and denominator but represents the same proportion of a whole. Given the options A. 9/16, B. 9/24, and C. 12/24, we can evaluate each choice by simplifying or finding a common factor between the numerator and the denominator. Option A: 9/16 cannot be simplified to 3/8 because 9 divided by 3 equals 3 and 16 divided by 3 is not a whole number. Therefore, 9/16 is not equivalent to 3/8. Option B: Considering 9/24, if we divide both the numerator and the denominator by 3, we get 3/8. Hence, 9/24 is equivalent to 3/8 after simplification. Option C: 12/24 simplifies to 1/2 when both the numerator and the denominator are divided by 12, and 1/2 is not equivalent to 3/8. Therefore, 12/24 is not equivalent to 3/8. By analyzing these options, the answer is option B: 9/24 is the fraction that is equivalent to 3/8.