What is the best estimate of the sum of the fractions?

31/4 + 17/3 + 8/18

A) 12 1/2

B) 13

C) 14 1/2

D) 15

B) 13

C) 14 1/2

Step-by-step explanation:

To find the best estimate of the sum you need to round each fraction to the nearest whole number and then add them together.

So first you need to convert 31/4 to a mixed number by dividing 31 by 4, which is 7 3/4.

Then you need to round 7 3/4 to the nearest whole number which is 8.

Then you need to convert 17/3 to a mixed number by dividing 17 by 3, which is 5 2/3.

Now you round 5 2/3 to the nearest whole number which is 6.

Then we have 8/18 so first we reduce it to its simplest form which is 4/9. 4/9 can be rounded up to 1/2.

Finally add the numbers you rounded

So, 8 + 6 + 1/2 = 14 1/2

So the best estimate of the sum is 14 1/2.