CONFIDENTIAL1 EQUIVALENT FRACTIONS Equivalent ???

CONFIDENTIAL2 Previous Knowledge Find the GCF of 40 and 36Find the GCF of 40 and 36 Answer: 4Answer: 4 Write the numerator and denominator of 5/8Write the numerator and denominator of 5/8 Numerator =5; denominator =8Numerator =5; denominator =8 Represent 6 geometricallyRepresent 6 geometrically 8 I know it

CONFIDENTIAL3 Equivalent Fractions Equivalent Fractions are fractions that name the same number Ohhh! That’s it. I understand it When drawn 6 = The model of fractions are of same size and the same part is shaded. So, they are equivalent

CONFIDENTIAL4 How to find Equivalent Fractions To find equivalent fractions, multiply or divide the numerator and denominator by the same non-zero number Is it ?

CONFIDENTIAL5 How to write Equivalent Fractions Replace each ● with a number so that the fractions are equivalent.Replace each ● with a number so that the fractions are equivalent. ● 5 = ● 7 28 X 4 Since 7 x 4 = 28; multiply the numerator and denominator by 4 ● 5 = ● =

CONFIDENTIAL6 Example = 212 = 2 18 ? 18 ? 12 = 212 = 2 18 ? 18 ? Since 12 ÷ 6 = 2; divide the numerator and denominator by 6. ÷ 6 12 = Next I will do

CONFIDENTIAL7 Now your turn!!! Replace each ‘*’ with a number so that the fractions are equivalent.Replace each ‘*’ with a number so that the fractions are equivalent = * 6 x 4 = 24, since 13 x 4 = = * 6 x 4 = 24, since 13 x 4 = = 3 24 ÷ 8 = 3; 48 ÷ 8 = 6 48 * 48 * Its easy

CONFIDENTIAL8 SIMPLIFYING FRACTIONS SIMPLIFY ? HMMM

CONFIDENTIAL9 Simplifying Fractions A fraction is in the simplest form when the GCF of the numerator and denominator is 1 Like ½, 1/3, ¼ etc…

CONFIDENTIAL10 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.

CONFIDENTIAL11 Write fractions in Simplest form METHOD 1 Write 20 in the simplest form Divide by common factors ÷ 4 = is GCF of 20 & 24 1 is the GCF Of 5 and 6 METHOD 2 Divide by the GCF GCF = = ÷ = ÷ is Common Factor of 20 & 24 1 is Common factor of 10 & 12

CONFIDENTIAL12 Example – 2 Write 21 in its simplest formWrite 21 in its simplest form GCF of 21 and 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 21 ÷ 3 = 7 ; 24 ÷ 3 = 8 So 21 =

CONFIDENTIAL13 Now your turn Write the fractions in its simplest form:Write the fractions in its simplest form: a) 5 - simplest form a) 5 - simplest form b) 24 = 6 b) 24 = c) 49 = 1 c) 49 =

CONFIDENTIAL14 HAVE A CUP OF COFFEE

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CONFIDENTIAL16 Practice Problems Replace each * with a number so that the fractions are equivalent.Replace each * with a number so that the fractions are equivalent. 1) * = Ans: 1 2) 18 = * 24 4 Ans: 3 3) 1 = 8 4 * Ans: 32 4) 7 = * 9 63 Ans: 49 5) 256 = 16 * 32 Ans: 512

CONFIDENTIAL17 Practice Problems Write each fractions in its simplest fractionWrite each fractions in its simplest fraction (i) 6 (ii) 9 (iii) 12 (iv) 36 (v) 13 (vi) 80 (i) 6 (ii) 9 (iii) 12 (iv) 36 (v) 13 (vi) Answers: (i) 1 (ii) 9 (iii) 1 (iv) ½ (v) 13 (vi)

CONFIDENTIAL18 Application Problems Of 45 students in a class, 27 of them are boys. Write this fraction in its simplest form.Of 45 students in a class, 27 of them are boys. Write this fraction in its simplest form.Answer 27 = 3, 27 = 3, Since 9 is the GCF of 27 and 45, we divide the numerator and denominator of 9.

CONFIDENTIAL19 Now your turn New – born baby sleeps about 15 hours a day. Write 15 as a fraction in its simplest form.New – born baby sleeps about 15 hours a day. Write 15 as a fraction in its simplest form Answer: 15 = 5 15 =

CONFIDENTIAL20 Review Equivalent Fractions are fractions that name the same number A fraction is in the simplest form when the GCF of the numerator and denominator is 1

CONFIDENTIAL21 THAT’S ALL FOR TODAY BYE.. BYE…