![Fractions
How did Egyptians count??
Hieroglyphs
[source :NRICH enriching mathematics
http://nrich.maths.org/2515 ]
How about lesser than one
Mouth
For e.g :One fifth:
No of
parts](https://image.slidesharecdn.com/fractionsppt-130401192937-phpapp02/85/Fractions-ppt-2-320.jpg)
Fractions ppt
- 1. Fractions Lets learn some concepts…….
- 2. Fractions How did Egyptians count?? Hieroglyphs [source :NRICH enriching mathematics http://nrich.maths.org/2515 ] How about lesser than one Mouth For e.g :One fifth: No of parts
- 3. What is a fraction Why use the word FRACTION?? means---„Break‟(originates in latin) From a „Whole‟ many „parts‟ are broken--Fractions
- 4. Write fractions Easy to say „give me HALF an apple‟ How to write?? 1 piece -------------(out of) Very Easy………. 2 pieces
- 5. What are the parts 1 piece Funny to tell ‘Top part’ -------------(out of) and ‘Bottom part’ 2 pieces Soooooooo……………... 1 Numerator How many parts U want Top part---Numerator Denominator Total No. of parts U have 2 Bottom part---- Denominator
- 6. Have you got it right?? Is 34 a Whole Yes No number? Is one quarter a Yes No Fraction Is one fifth a Fraction Yes No Is five fifth a Fraction Yes No Top half of a fraction Denominator Numerator Integer Lid is called
- 7. Status Sorry!!!! Lets think again… Lets think differently!!
- 8. Status Good Job!! Your concepts is getting clearer!!
- 9. Status Great!!! Your concepts are clear!! Lets proceed now….
- 10. Forms of fraction Numerator Prim Proper fraction: Is less than & Denominator Proper like us E.g 3/4,5/7, 12/29 Numerator Improper fraction: Source:blogs.coventrytelegraph.net Is greater than Denominator It‟s O.K to be E.g 4/3,7/5, 29/12 ImProper?? Partly a Whole number Mixed Numbers: & Partly a fraction source:http://tapiture.com/image/improper-wrong-and-hilarious- thechive-8 E.g 2 1/2, 5 7/5
- 11. Thinking hats on.. Click “Y” for Yes and “N” for No Not a Is 1/2 proper Y N fraction Is 2/2 Not a Y N fraction improper Not a Is 3/2 proper Y N fraction Not a Is 4/2 proper Y N fraction Is 11/2 improper Y N Not a fraction Not a Is 2/11 proper Y N fraction
- 12. Status Sorry!! Lets think again… Lets think differently!!
- 13. Status Good Job!! Your concepts is getting clearer!!
- 14. Status Great!!! Your concepts are clear!! Lets proceed now….
- 15. comparing I baked this cake twice Monday Friday Expected 4 friends Expected 4 friends Divided into 4 parts Divided into 2 parts Only 2 turned up Only 2 turned up Yeah!!!got to eat 1 huge part of the Yummy got to eat 2 parts out go 4 2 parts 2 1 --------- --------- 4 2 Which day did I eat more????
- 16. Explanation…. Monday Friday Whole cake 2 1 ------ ------ 4 2 1 3 1 2 2 4 You ate same amount on Monday & Friday 2/4 is equivalent to 1/2
- 17. Mathematically compare 2 fractions Sorry! The sword has Make the denominators of the 2 no answer fractions same Source: Thevoiceclub.com Rule 1: If denominators are SAME then just compare numerators Sorry! E.g 2 3 The sword cannot < -------------- --------------- make them SAME 4 4 Rule 2: If denominators are NOT same then just make them same and then compare numerators... Always remember: Be fair Numerator & Denominator with you do to numerator What Do it to the denominator 1 X2 2 For example: -------------- ----- 2 X2 4
- 18. Six Simple Steps(3S) to compare fractions Lets Compare 1 , -------------- 3 --------------- 4 5 Step 1: Rule2 : Denominators are not same….List all the multiples of the 2 denominators 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 Step 5: Be fair and multiply the numerators too with the same no. respectively Step 6: Compare the numerators NOW Multiples of 4 : 4, 8, 12, 16, 20, 24, 28, 32, 36, 40 Multiples of 5 : 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, x5 5 < 12 x4 1 5 3 12 -------------- 4 x5 -------------- 20 < --------------- 5 x4 20 Thus…... 1 < -------------- 4 -------------- 3 --------------- 5
- 19. Lets practise Comparing Click 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
- 20. Awesome!!! Did you follow the Six Simple Steps Lets compare if you have worked out differently
- 21. Good try!!! Are you sure you followed the Six Simple Steps Lets see if you have Missed any step
- 22. Awesome!!! Did you follow the Six Simple Steps Lets compare if you have worked out differently
- 23. Good try!!! Are you sure you followed the Six Simple Steps Lets see if you have Missed any step
- 24. Lets do our Six Simple Steps 3 5 Lets Compare ------ , ------ 4 6 Step 1: Rule2 : Denominators are not same….List all the multiples of the 2 denominators 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 Step 5: e fair and multiply the numerators too with the same no. respectively B Step 6: Compare the numerators NOW 4, 8, 12, 16, 20, 24, 28, 32, 36, 4 Multiples of 4 : 0 Multiples of 6 : 6, 12, 18, 24, 30, 36, 42,…….. x3 9 < 10 x2 3 9 5 10 -------------- 4 x3 12 -------------- 6 x2 12 <Thus…... 3 < 5 --------------- 4 -------------- -------------- --------------- 6 Proceed to next question
- 25. Lets do our Six Simple Steps 7 5 Lets Compare ------ , ------ 9 6 Step 1: Rule2 : Denominators are not same….List all the multiples of the 2 denominators 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 Step 5: Be fair and multiply the numerators too with the same no. respectively Step 6: Compare the numerators NOW 9, 18, 12, 36, 45, 54, 63, 72, 81, Multiples of 9 : 90 Multiples of 6 : 6, 12, 18, 24, 30, 36, 42,…….. x2 14 < 15 x3 7 14 5 15 -------------- 9 x2 18 -------------- 6 x3 18 < Thus…... 7 < 5 --------------- 9 -------------- -------------- --------------- 6
- 26. Simplifying Fractions Fractions can be made as simple as possible 4/8 2/4 1/2 4 out of 8 parts 2 out of 4 parts 1 out of 2 parts If you say you ate Four Same as Two Same as One Half eighths of quarters a cake
- 27. “Simplicity is the ultimate sophistication” ― Leonardo da Vinci 4 Steps to simplify Lets try to simplify(lowest form) Factors of 36 36 24 ---------- 24 Step 1: List all the Factors of the Numerator & denominator Step 2: Circle all the prime factors 3 12 3 8 Step 3: Multiple common primes to get Greatest Common Factor Step 4: Divide numerator and denominator with GCF 4 3 4 2 36 3 ---------- = ---------- 2 2 24 4 2 2 36 ÷ 12 = 3 ----------------------------------------- ÷ 24 12 = 4 3 X 2 X 2 = 12
- 28. Thank you!!! Hope you can continue from here……. If there is any other concept you want to be explained email Vidhya @ anavidya@gmail.com