Post your question in the Comment section below, and a GRE expert will answer it as fast as humanly possible.

- Video Course
- Video Course Overview
- General GRE Info and Strategies - 7 videos (free)
- Quantitative Comparison - 7 videos (free)
- Arithmetic - 42 videos
- Powers and Roots - 43 videos
- Algebra and Equation Solving - 78 videos
- Word Problems - 54 videos
- Geometry - 48 videos
- Integer Properties - 34 videos
- Statistics - 28 videos
- Counting - 27 videos
- Probability - 25 videos
- Data Interpretation - 24 videos
- Analytical Writing - 9 videos (free)
- Sentence Equivalence - 39 videos (free)
- Text Completion - 51 videos
- Reading Comprehension - 16 videos

- Study Guide
- Philosophy
- Office Hours
- Extras
- Prices

## Comment on

Fractions with x and y## A quick way I arrived at the

First realised that x and y are negative,but that x is greater in magnitude than y (i.e. x is more negative than y). When you divide 1 by a negative number you get a negative fraction; the more negative the denominator the smaller in magnitude the result is (and therefore the less negative it is).

So we are taking a less negative number away from a more negative number, which leaves us with something still on the negative side of the number line.

This explanation is lengthy, but if you realise that about the question, it's a quick way to solve it I think.

## I love it! That's a great

I love it! That's a great (and perfectly valid) solution that uses some number sense.

## May i know why is it that i

## Given:

Given:

QUANTITY A: 1/2y - 1/2x

QUANTITY B: 0

Be careful, if we multiply Quantity A by 2, we don't get y - x.

If we multiply both quantities by 2, we get:

QUANTITY A: 2/2y - 2/2x

QUANTITY B: 0

Simplify to get:

QUANTITY A: 1/y - 1/x

QUANTITY B: 0

That said, let's keep going.

The given information tells us that x and y are both negative.

This means the product xy is POSITIVE

So, let's multiply both quantities by xy to get:

QUANTITY A: xy/y - xy/x

QUANTITY B: 0

Simplify to get:

QUANTITY A: x - y

QUANTITY B: 0

At this point, we can add y to both quantities to get:

QUANTITY A: x

QUANTITY B: y

Since we're told that x < y < -1, we can see that Quantity B is greater.

Does that help?

Cheers,

Brent

## if we solve x-y/2xy; here 2xy

## Almost!

Almost!

Since x < y, we know that x-y is NEGATIVE (not positive)

So, Quantity A is negative

## Pick x = -3, y = -2 and solve

## Be careful. Getting B as the

Be careful. Getting B as the correct answer was only coincidental.

Testing ONE set of possible values will not yield a definitive answer here.

When you plug in x = -3 and y = -2 and see that Quantity B > Quantity A, this just tells you that the correct answer is either B or D. That's all you can be certain of. It just happens to be the case that Quantity B is always greater.

I cover this at 2:50 in the following video: https://www.greenlighttestprep.com/module/gre-quantitative-comparison/vi...