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EQUIVALENT FRACTIONS

EQUIVALENT FRACTIONS. Equivalent ???. Previous Knowledge. I know it. Find the GCF of 40 and 36 Answer: 4 Write the numerator and denominator of 5/8 Numerator =5; denominator =8 Represent 6 geometrically 8. Equivalent Fractions. Ohhh! That’s it. I understand it

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EQUIVALENT FRACTIONS

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  1. EQUIVALENT FRACTIONS Equivalent ??? CONFIDENTIAL

  2. Previous Knowledge I know it • Find the GCF of 40 and 36 • Answer: 4 • Write the numerator and denominator of 5/8 • Numerator =5; denominator =8 • Represent 6 geometrically 8 CONFIDENTIAL

  3. Equivalent Fractions Ohhh! That’s it. I understand it When drawn • Equivalent Fractions are fractions that name the same number 6 = 22 3 11 The model of fractions are of same size and the same part is shaded. So, they are equivalent CONFIDENTIAL

  4. How to find Equivalent Fractions Is it ? • To find equivalent fractions, multiply or divide the numerator and denominator by the same non-zero number CONFIDENTIAL

  5. How to write Equivalent Fractions • Replace each ● with a number so that the fractions are equivalent. Since 7 x 4 = 28; multiply the numerator and denominator by 4 5 = ● 7 28 1 X 4 5 = 20 7 28 5 = ● 7 28 X 4 CONFIDENTIAL

  6. Example - 2 Next I will do Since 12 ÷ 6 = 2; divide the numerator and denominator by 6. • 12 = 2 18 ? ÷ 6 12 = 2 18 3 • 12 = 2 18 ? ÷ 6 CONFIDENTIAL

  7. Now your turn!!! Its easy • Replace each ‘*’ with a number so that the fractions are equivalent. 1. 6 = * 6 x 4 = 24, since 13 x 4 = 52 13 52 2. 24 = 3 24 ÷ 8 = 3; 48 ÷ 8 = 6 48 * CONFIDENTIAL

  8. SIMPLIFYING FRACTIONS SIMPLIFY ? HMMM CONFIDENTIAL

  9. Simplifying Fractions Like ½ , 1/3, ¼ etc… • A fraction is in the simplest form when the GCF of the numerator and denominator is 1 CONFIDENTIAL

  10. Write a fraction in its Simplest Form To write a fraction in simplest form, * divide the numerator and denominator by common factors until the only common factor is 1 OR * divide the numerator and denominator by the GCF. CONFIDENTIAL

  11. Write fractions in Simplest form METHOD 2 Divide by the GCF GCF = 4 METHOD 1 Write 20 in the simplest form 24 Divide by common factors. ÷ 4 ÷ 2 ÷ 2 1 is the GCF Of 5 and 6 20 24 5 6 20 24 10 12 5 6 = = = 1 is Common factor of 10 & 12 ÷ 4 ÷ 2 ÷ 2 4 is GCF of 20 & 24 2 is Common Factor of 20 & 24 CONFIDENTIAL

  12. Example – 2 • Write 21 inits simplest form 24 GCF of 21 and 24 Factors of 21 = 1, 3, 7, 21 Factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24 Common factors = 1, 3 GCF = 3 Divide 21 and 24 by 3 21 ÷ 3 = 7 ; 24 ÷ 3 = 8 So 21 = 7 24 8 CONFIDENTIAL

  13. Now your turn • Write the fractions in its simplest form: a) 5 - simplest form 13 b) 24 = 6 28 7 c) 49 = 1 98 2 CONFIDENTIAL

  14. HAVE A CUP OF COFFEE BREAK CONFIDENTIAL

  15. Can we play ? Hai, now we can play. • http://www.thekidzpage.com/freekidsgames/games/alagames/pacmania.html CONFIDENTIAL

  16. Practice Problems 1) * = 3 15 45 Ans: 1 2) 18 = * 24 4 Ans: 3 3) 1 = 8 4 * Ans: 32 • Replace each * with a number so that the fractions are equivalent. 5) 256 = 16 * 32 Ans: 512 4) 7 = * 9 63 Ans: 49 CONFIDENTIAL

  17. Practice Problems • Write each fractions in its simplest fraction (i) 6 (ii) 9 (iii) 12 (iv) 36 (v) 13 (vi) 80 18 11 48 72 19 110 Answers: (i) 1 (ii) 9 (iii) 1 (iv) ½ (v) 13 (vi) 8 3 11 4 19 11 CONFIDENTIAL

  18. Application Problems • Of 45 students in a class, 27 of them are boys. Write this fraction in its simplest form. Answer • 27 = 3 , 45 5 Since 9 is the GCF of 27 and 45, we divide the numerator and denominator of 9. CONFIDENTIAL

  19. Now your turn • New – born baby sleeps about 15 hours a day. Write 15 as a fraction in its simplest form. 24 Answer: 15 = 5 24 8 CONFIDENTIAL

  20. Review • A fraction is in the simplest form when the GCF of the numerator and denominator is 1 • Equivalent Fractions are fractions that name the same number CONFIDENTIAL

  21. THAT’S ALL FOR TODAY BYE.. BYE… WE WILL MEET YOU SOON CONFIDENTIAL

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