Answer: 28/9 (choice D)
Step-by-step explanation:
You don't need a calculator for this.
Each fraction involves 9 in the denominator. The numerators are the only thing that change. Let x be the numerator.
x/9 = 3.1 can be estimated to x/9 = 3 and that solves to x = 27
The numerator is around 27.
- If x = 26, then 26/9 is slightly smaller than 3
- If x = 27, then 27/9 is exactly 3
- If x = 28, then 28/9 is slightly larger than 3
Choices A,B,C are ruled out since the numerators are smaller than 28. The only thing left is choice D.
You can use a calculator or long division to confirm that 28/9 = 3.1111... where the '1's go on forever.