Lesson: Operations with Fractions

Reinforcement Activities

The following practice questions were carefully chosen to highlight the different ways the GRE can test the concepts covered in the video (Brent, our course creator, has provided detailed solutions to most questions) 

Comment on Operations with Fractions

DianeMarx - November 20, 2017
Interesting

Omar Sanchez - May 10, 2018
This AWFUL-LOOKING fraction... LOOOOOL!

So right on the money!
greenlight-admin's picture

greenlight-admin - May 11, 2018

Ha! Awful indeed! (aside: Omar is referring to 7:14 in the video)

Cheers,
Brent

monicashubert - January 2, 2019
Are the official GRE paper test reinforcement activity questions from an older version paper test or from the version that has significant overlap with the 2 powerprep practice tests?
greenlight-admin's picture

greenlight-admin - January 2, 2019

I believe that the questions in the paper test do not overlap with the PowerPrep practice tests.

chuinittowinit - January 5, 2019
The last 3 links don't go to any specific problems. It just takes you to the homepage of themathpage.com
greenlight-admin's picture

greenlight-admin - January 6, 2019

Thanks for pointing that out!

Looks like TheMathPage.com changed the urls of all its pages.
I've updated all of the links above, and I'll try to get to the rest of the links (throughout this site) this upcoming week.

Cheers and thanks again,
Brent

ankit.5 - May 28, 2019
What about Addition and subtraction in mixed fractions ?
greenlight-admin's picture

greenlight-admin - May 28, 2019

Good question. One option is to convert both to entire fractions, and then perform the calculations.

Cheers,
Brent

Ravsan - July 20, 2020
Hi Brent,

When trying to find the common denominator for 1/3 + 1/6, isnt the common number that divides both 3 and 6 are 3?

I mean 3 is a multiple of both 3 and 6 right?
greenlight-admin's picture

greenlight-admin - July 20, 2020

3 is the GREATEST COMMON DIVISOR of 3 and 6.
When it comes to adding or subtracting fractions, we want to find the LOWEST COMMON DENOMINATOR, which is the same as finding the LEAST COMMON MULTIPLE.

Sum of multiples of 3 are: 3, 6, 9, 12, 15, 18, 21,....
Sum of multiples of 6 are: 6, 12, 18, 24,30,....
(Aside: Notice that 3 is not a multiple of 6)

Among the above multiples, the SMALLEST multiple they have in COMMON is 6.

bryant2086@gmail.com - August 23, 2021
When cross simplifying, is it ok to only simplify one set, or do you have to do both?
EX: 5/25 * 5/3
You can 5 & 25, but you can't simplify 5 & 3. So if I simplified 5 & 25 without simplifying 5 & 3, would that mess up my answer?
greenlight-admin's picture

greenlight-admin - August 23, 2021

No, you need not simplify both pairs of values.
For example, 7/12 x 24/13 becomes 7/1 x 2/13 after simplifying.
Likewise, 25/8 x 11/15 becomes 5/8 x 11/3 after simplifying.

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