Fractions ppt
28
Fractions Lets learn some concepts…….
description
A small ppt for teaching concepts of fractions
Transcript of Fractions ppt
FractionsLets learn some concepts…….
Fractions
[source :NRICH enriching mathematicshttp://nrich.maths.org/2515 ]
For e.g :One fifth:
How did Egyptians count??
Hieroglyphs
How about lesser than one
Mouth
No of parts
What is a fraction
Why use the word FRACTION??
means---‘Break’(originates in latin)
From a ‘Whole’
many ‘parts’ are broken--Fractions
Write fractions
Easy to say ‘give me HALF an apple’
How to write??
1 piece-------------(out of)2 piecesVery Easy……….
What are the parts
Funny to tell ‘Top part’ and ‘Bottom part’
Soooooooo……………...
Top part---Numerator
Bottom part----Denominator
1 piece-------------(out of)2 pieces
1 Numerator How many parts U want
2 Denominator Total No. of parts U have
Have you got it right??
Yes NoIs 34 a Whole number?
Is one quarter a Fraction
Yes No
Is one fifth a Fraction
Yes No
Is five fifth a Fraction
Yes No
Top half of a fraction is called
Denominator
Numerator Integer Lid
Status
Lets think again…
Lets think differently!!
Sorry!!!!
Status
Good Job!!
Your concepts is getting clearer!!
Status
Great!!!
Your concepts are clear!!Lets proceed now….
Forms of fraction
Source:blogs.coventrytelegraph.net
Proper fraction:
Numerator Is less than
Denominator
E.g 3/4,5/7, 12/29
Prim &
Proper like us
Improper fraction:
Numerator Is greater thanDenominator
E.g 4/3,7/5, 29/12It’s O.K to
be ImProper??
Mixed Numbers:
Partly a Whole number
&Partly a fraction
E.g 2 1/2, 5 7/5
source:http://tapiture.com/image/improper-wrong-and-hilarious-thechive-8
Thinking hats on..
Is 1/2 proper
Y N
Click “Y” for Yes and “N” for No
Is 2/2 improper
Y NIs 3/2 proper
Y NIs 4/2 proper
Y NIs 11/2
improperY N
Is 2/11 proper
Y N
Not a fraction
Not a fraction
Not a fraction
Not a fraction
Not a fraction
Not a fraction
Status
Sorry!!Lets think again…
Lets think differently!!
StatusGood Job!!
Your concepts is getting clearer!!
Status
Great!!!
Your concepts are clear!!Lets proceed now….
comparing
Monday Friday
Expected 4 friends Expected 4 friends
Divided into 4 parts Divided into 2 parts
Only 2 turned up Only 2 turned up
Yummy got to eat 2 parts out go 4
Yeah!!!got to eat 1 huge part of the 2 parts
I baked this cake twice
2---------
4
1---------
2
Which day did I eat more????
Explanation….
Whole cake
2------
4
1 3
42
1 2
1------
2
You ate same amount on Monday & Friday
2/4 is equivalent to 1/2
Monday Friday
Source: Thevoiceclub.com
Sorry! The sword has
no answer
Rule 1:If denominators are SAME then just compare numerators
E.g 24
--------------34
---------------<
Rule 2: If denominators are NOT same then just make them same and then compare numerators...
Sorry! The sword
cannot make them SAME
Mathematically compare
2 fractions
Numerator &Always remember: Be
fair withDenominator
2
4-----1
2--------------
What you do to numeratorDo it to the denominator
X 2X 2
For example:
Make the denominators of the 2 fractions same
Six Simple Steps(3S) to compare fractions
Step 1:Rule2 : Denominators are not same….List all the multiples of the 2 denominators
14
--------------35
---------------Lets Compare ,
Multiples of 4 :4, 8, 12, 16, 20, 24, 28, 32, 36, 40Multiples of 5 :5, 10, 15, 20, 25, 30, 35, 40, 45, 50,
Step 2: Circle all the common multiples
Step 3: Find the lowest common multiple(LCM)
Step 4: Convert the denominators to the least common multiple
14
--------------35
---------------
20x5
20x4
Step 5:Be fair and multiply the numerators too with the same no. respectively
x5 x4
5 12
Step 6: Compare the numerators NOW
-------------- --------------
5 < 12
< 14
--------------35
---------------<Thus…...
Lets practise ComparingClick which is larger among the 2
fractions
Compare 3/4 with 5/6
3/4 5/6
Compare 7/9 with 5/6
7/9 5/6
Awesome!!!
Did you follow the Six Simple Steps
Lets compare if you have worked out differently
Good try!!!
Are you sure you followed the Six Simple Steps
Lets see if you have Missed any step
Awesome!!!
Did you follow the Six Simple Steps
Lets compare if you have worked out differently
Good try!!!
Are you sure you followed the Six Simple Steps
Lets see if you have Missed any step
Lets do our Six Simple Steps
Step 1:Rule2 : Denominators are not same….List all the multiples of the 2 denominators
3
4------
5
6------
Lets Compare ,
Multiples of 4 :4, 8, 12, 16, 20, 24, 28, 32,
36, 40Multiples of 6 : 6, 12, 18, 24, 30, 36, 42,
……..
Step 2: Circle all the common multiples
Step 3: Find the lowest common multiple(LCM)
Step 4: Convert the denominators to the least common multiple
34
--------------56
---------------
12x3
12x2
Step 5:Be fair and multiply the numerators too with the same no. respectively
x3 x2
9 10
Step 6:Compare the numerators NOW
-------------- --------------
9 < 10
< 34
-------------- 56
---------------<Thus…...
Proceed to next question
Lets do our Six Simple Steps
Step 1:Rule2 : Denominators are not same….List all the multiples of the 2 denominators
7
9------
5
6------
Lets Compare ,
Multiples of 9 :9, 18, 12, 36, 45, 54, 63, 72,
81, 90Multiples of 6 : 6, 12, 18, 24, 30, 36, 42,
……..
Step 2: Circle all the common multiples
Step 3: Find the lowest common multiple(LCM)
Step 4: Convert the denominators to the least common multiple
79
--------------56
---------------
18x2
18x3
Step 5: Be fair and multiply the numerators too with the same no. respectively
x2 x3
14 15
Step 6:Compare the numerators NOW
-------------- --------------
14 < 15
< 79
-------------- 56
---------------<Thus…...
Simplifying Fractions
Fractions can be made as simple as possible
4 out of 8 parts4/8
2 out of 4 parts2/4
1 out of 2 parts1/2
If you say you ateFour
eighths of a cake
Same asTwo
quarters
Same asOne Half
4 Steps to simplify
“Simplicity is the ultimate sophistication” ― Leonardo da Vinci
Lets try to simplify(lowest form)
36
24--------------------------------------
---
Step 1: List all the Factors of the Numerator & denominator
Factors of
36
3 12
4 3
2 2
24
3 8
4 2
2 2
Step 2:Circle all the prime factors
Step 3:Multiple common primes to get Greatest Common Factor
3 2 2X X = 12
Step 4:Divide numerator and denominator with GCF
÷
÷
1212
==
34
3624---------- =
34
----------
3624----------
Thank you!!!
Hope you can continue from here…….If there is any other concept you want to be
explained email Vidhya @ [email protected]
