Turn on thread page Beta
 You are Here: Home >< Maths

# Extremely basic simplifying, how does this work? watch

1. Just watching an ExamSolutions video on differentiation and he is able to simplify 6(4/3) by dividing both the 6 and the 3 by 3, to give 2(4)x^1/3. I have never seen this before (I know its really basic, just have never been taught this way).

Why are you able to take out a factor of 3 from the 6 and the 3? WHy do you only need to divide the denominator by 3 and the 6 by 3, why don't you need to divide the 4 by 3 too? He divides the 6 by 3, and the denominator (3) by 3, he doesn't divide the numerator (4) by 3. Why don't you need to divide the numerator, only the denominator?

Thanks

2. (Original post by blobbybill)
Just watching an ExamSolutions video on differentiation and he is able to simplify 6(4/3) by dividing both the 6 and the 3 by 3, to give 2(4)x^1/3. I have never seen this before (I know its really basic, just have never been taught this way).

Why are you able to take out a factor of 3 from the 6 and the 3? WHy do you only need to divide the denominator by 3 and the 6 by 3, why don't you need to divide the 4 by 3 too? He divides the 6 by 3, and the denominator (3) by 3, he doesn't divide the numerator (4) by 3. Why don't you need to divide the numerator, only the denominator?

Thanks

Because 6=2*3

So it becomes and factors cancel.
3. (Original post by RDKGames)
Because 6=2*3

So it becomes and factors cancel.
If it were a case where the numerator was also a factor, do you cancel out factors from the numerator aswell?

If not, why not?
4. (Original post by blobbybill)
If it were a case where the numerator was also a factor, do you cancel out factors from the numerator aswell?

If not, why not?
Explain what you mean. If the 4 was a number that could be split into its prime factors such that there is a common factor in the numerator and denominator, then yes those particular factors would cancel each other.
5. Don't think of it as dividing the 6 and 3 by 3, he's just multiplying out the bracket to simplify the fraction. 6* (4/3) = 24/3 = 8
6. (Original post by JN17)
Don't think of it as dividing the 6 and 3 by 3, he's just multiplying out the bracket to simplify the fraction. 6* (4/3) = 24/3 = 8
Okay. I'll just think of it as that in future, that seems much simpler to me.

Thanks
7. Because the number outside the bracket is just multiplication:

Or to try and make it completely clear:

You can then simplify the fraction directly by cancelling out the 3 and the 6 to give , or if you prefer you can multiply to give

What you showed is the same thing without the bother of writing out the full fraction

Turn on thread page Beta

### Related university courses

TSR Support Team

We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

This forum is supported by:
Updated: November 10, 2016
The home of Results and Clearing

### 2,696

people online now

### 1,567,000

students helped last year
Today on TSR

### University open days

1. Sheffield Hallam University
Tue, 21 Aug '18
2. Bournemouth University
Clearing Open Day Undergraduate
Wed, 22 Aug '18
3. University of Buckingham
Thu, 23 Aug '18
Poll
Useful resources

## Make your revision easier

### Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

### How to use LaTex

Writing equations the easy way

### Study habits of A* students

Top tips from students who have already aced their exams

Can you help? Study help unanswered threads

## Groups associated with this forum:

View associated groups

The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE