Jeff Miller

GMAT OFFICIAL GUIDE PS – The sum 7/8 + 1/9…

The sum 7/8 + 1/9…

Solution:

Let’s first determine the sum of 7/8 and 1/9.

7/8 + 1/9

Getting a common denominator of 72 gives us:

63/72 + 8/72 =71/72

Notice that 71/72 is just a bit less than 1. This will be useful when analyzing our answer choices.

A) ½ and ¾

Since 3/4 = 54/72, we can see that 71/72 is greater than ¾. Answer choice A is not correct.

B) 3/4 and 1

We see that 71/72 is greater than ¾ and less than 1. Answer choice B is correct. To be certain, let’s check the other answer choices.

C) 1 and 1 1/4

Since 71/72 is less than 1, answer choice C is not correct.

D) 1 1/4 and 1 1/2

Since 71/72 is less than 1, answer choice D is not correct.

E) 1 1/2 and 2

Since 71/72 is less than 1, answer choice E is not correct.

Answer: B