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Introduction to Remainders## Can you help me with this?

When positive integer A is divided by positive integer B, the result is 9.35. Which of the following could be the remainder when A is divided by B ?

(A) 13

(B) 14

(C) 15

(D) 16

(E) 17

## 0.35 = 35/100

0.35 = 35/100

So, we can write: A/B = 9 35/100 = 935/100

So, one possible case is that A = 935 and B = 100

When we divide 935 by 100, the remainder is 35

Unfortunately 35 is NOT one of the answer choices.

Now let's examine some fractions that are EQUIVALENT to 935/100

For example, 935/100 = 187/20 (= 9.35)

In other words, A = 187 and B = 20

In this case, when we divide A by B, the remainder is 7

Unfortunately 7 is NOT one of the answer choices.

Find another fraction EQUIVALENT to 935/100

How about 374/40 (= 9.35)

In other words, A = 374 and B = 40

In this case, when we divide A by B, the remainder is 14

Aha - 14 IS one of the answer choices.

Answer: B

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