sponsored links

###
Model 1 :

When the numerators are same and the denominators are different, the fraction with the largest denominator is the smallest. Have a look at the following example.

- Here, 13 is the largest denominator, so, (3/13) is the smallest fraction. 5 is the smallest denominator, hence (3/5) is the largest fraction.
- Here logic is very simple,
- Situation 1 : Assume that you are 5 Children in your family. Your Dad brought an Apple and mom cut it into 5 pieces and distributed among all the children including you. (1/5)
- Situation 2 : Assume that you are 8 Children in your family. Your Dad brought an Apple and mom cut it into 8 pieces and distributed among all the children including you. (1/8)
- In which Situation will you get the BIG Piece of the Apple??? ;). Obviously in the Situation 1. Thats it.........

### Model 2 :

When the numerators are different and the denominators are same, the fraction with the largest numerator is the largest. Have a look at the following example.

**Which of the following fractions is the smallest?****(7/5) , (9/5), (4/5), (11/5)**

- As 4 is the smallest numerator, the fraction 4/5 is the smallest.
- As 11 is the largest numerator, the fraction 11/5 is the largest.
- Here too logic is very simple,
- Situation 1 : Assume that you are 4 Children in your family. Your Dad brought 8 Apples and mom distributed them among all the children including you. (8/4)
- Situation 2 : Assume that you are 4 Children in your family. Your Dad brought 12 Apples and mom distributed them among all the children including you. (12/4)
- In which situation will you get more apples? Obviously in the second. So, 12/4 is the Biggest.. Thats it ;)

### Model 3 :

The fraction with the largest numerator and the smallest denominator is the largest.

**Which of the following fractions is the largest?****(19/16), (24/11), (17/13), (21/14), (23/15)**

- As 24 is the largest numerator and 11 is the smallest denominator, 24/11 is the largest fraction.
- Logic??? Cutting the More fruits into Less pieces is more beneficial for you than cutting the Less fruits into More pieces :P

### Model 4 :

When the numerators of two fractions are unequal, we try and equate them by suitably cancelling factors or by suitably multilplying the numerators. Thereafter we compare the denominators as in

**Model 1**. Have a look at the following examples.**Which of the following fractions is the largest?****(64/328), (28/152), (36/176), (49/196)**

- 64/328 = 32/164 = 16/82 = 8/41 this is approximately equal to 1/5
**Note :**In these type of problems, approximate values will be enough. No need to get EXACT values.- 25/152 = 14/76 = 7/38 this is approximately equal to 1/5.5
- 36/176 = 18/88 = 9/44 this is approximately equal to 1/5
- 49/196 = 7/28 = 1/4
- As all the numerators are 1 and the least denominator is 4, the fraction 49/196 is the largest
**Which of the following fractions is the largest?****(71/181), (214/519), (429/1141)**

- (71/181) = (71 X 6) / (181 X 6) = 426/1086
- (214/519) = (214 X 2) / (519 X 2) = 428/1038

- The numerators are now all ALMOST equal (426, 428 and 429). The smallest denominator is 1038.
- So, the largest fraction must be 428/1038 that is 214/519 :)

###
* *Click Here to read Mental Maths (Comparison of Fractions) - Part 2

sponsored links

I was just browsing through the page & I must appreciate whoever did the logic & wrote the situation analysis here... Good job! Was a refreshing read, thanks! Quite innovative...

ReplyDeleteThe person who wrote this article is not available at present Tanya. We'll let him know about your complements and ask him to post more innovative articles like this. Thank you :)

Deletewow it was very nice,mam Iam non maths student till know Iam very afraid about these types of problems now Iam fan to solve.thanku............

ReplyDeleteSimply superb...........

ReplyDeletesuperb...............

ReplyDeleteamazing

ReplyDeletethank u very much

ReplyDeletei hate math..but by seeing funda like these i m falling in love wid math...!!!!! thanks admin....gr8 job

ReplyDeletegood article,really helped me.Fractions were troubling me a lot.

ReplyDeletenice work

ReplyDeleteIts awesome di.... nice job ....

ReplyDeletei appreciate the person who did write the situation analysis here. its a best site forever for banking aspirants thank u very very very much. its such a useful site.

ReplyDeletevery good concept

ReplyDeletefantastic Gr8 ambunz.. you are notes are awesome

ReplyDeletethank u so much

very nice concept...compltely clear in mind....thank u soooo much....

ReplyDeletegreat website......... Thank you so much.

ReplyDeleteveryy helpful...

ReplyDeletehyy this is really hlpful .. grt website.. thnks a lot 4 ur wndrful wrk. n giving me such a useful material

ReplyDeleteI always skipped questions from fractions (if not same numerator or denominator).. this article seems really helpful .. thank you again gr8ambitionz ... cheers

ReplyDeleteI want to appreciate gr8ambitionz Team for there excellent work.

ReplyDeleteVery well conceptual wise making the aspirants to understand

ReplyDeleteits very easy to undustand very very nice thank u for giving these type suggustions to the students thank u

ReplyDeletesuperbbbb i love maths from this we can improve our knowledge more please update new logics daily

ReplyDeleteplease

superbbb... please update logics daily

ReplyDeletesuperbbbb nice class

ReplyDeletevery well done just superb :)

ReplyDeleteAwesome

ReplyDeleteGot it well as never before

An excellent article. Explanation is very simple

ReplyDeleteWhat a creative explanation ...thanks to whole gr8ambitionz TEAM

ReplyDeletemadam thank u so much for taking risk in providing these materials,madam i would like to know how u done the logic for the last example by multiplying with 6 & 2?can u pls explain it?

ReplyDeletemadam explain the model 4 last part Q:71/181 i didnt understand?

ReplyDeletereally good one,keep it up and thnq gr8ambitionz...................................

ReplyDeleteu r helping us a lot..................

Gr8 Now i started loving maths

ReplyDeletehi really awesome, nice social service. but i want pdf files for all

ReplyDeleteExcellent Site...Never found such informative material online

ReplyDeletesolving such problems without pen and paper and with good speed would obviously increase confidence

ReplyDeletesolving such problems with good speed and without approach of pen and paper will obviously increase confidence

ReplyDeletethank u so much

ReplyDeletethank you so much..

ReplyDeletein model 3 which one would be the second largest???

ReplyDeletewhat logic can be used for this quest:: 2/7 ,8/9 ,4/5??

ReplyDeleteWhat logic will be used in this query::: 6/7, 8/9, 4/5??

ReplyDeleteIts similiar to Model 4 ..

Delete6/7 8/9 4/5

break it down

= 1/1.16 1/1.125 1/1.25

here 1.125 is smallest

therefore, 8/9 is largest fraction and 4/5 is least.

Simple .

really like this work .please keep it continue...

ReplyDeleteyou are genius mam ...awesome

ReplyDeleteits very helpful.. but I need practice on it.. Confused when to use which methood

ReplyDeleteAPPLY YR MIND

Deletei love to read your site every day......very different from others

ReplyDeleteI feel thіs is one of tһе so mսch іmportant

ReplyDeleteinfo for me. And i am glad studying уour article. Hοwever wanna observation ⲟn few common issues, The site style is gгeat,

the articles iѕ in reality greɑt :D. Just гight activity, cheers.

I don't even know how I ended up here, but I thought this post

ReplyDeletewas great. I do not know who you are but certainly you're

going to a famous blogger if you aren't already ;) Cheers!

I think this is among the most significant info for me.

ReplyDeleteAnd i'm glad reading your article. But want to remark on some general things,

The website style is ideal, the articles is really great :

D. Good job, cheers

Hello there, You've done an incredible job. I'll certainly digg it and personally suggest to my friends.

ReplyDeleteI am sure they'll be benefited from this web site.

If you desire to obtain a good deal from this post then you have to apply these strategies to your won weblog.

ReplyDeleteExcellent post. I was checking continuously this blog

ReplyDeleteand I am impressed! Very useful information particularly the last

part :) I care for such information much.

I was seeking this certain information for a long time.

Thank you and good luck.