CONFIDENTIAL 1

EQUIVALENT FRACTIONS

Equivalent ???

CONFIDENTIAL 2

Previous Knowledge• Find the GCF of 40 and 36 Find 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 Represent 6 6 geometrically geometrically 88

I know it

CONFIDENTIAL 3

Equivalent Fractions

• Equivalent Fractions are fractions that name Equivalent Fractions are fractions that name the same numberthe same number

Ohhh! That’s it.

I understand itWhen drawn

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• To find equivalent fractions, multiply or divide To find equivalent fractions, multiply or divide

the numerator and denominator by the same the numerator and denominator by the same non-zero numbernon-zero number

Is it ?

CONFIDENTIAL 5

How to write Equivalent Fractions

• Replace each Replace each ● with a number so that the ● with a number so that the fractions are equivalent.fractions are equivalent.

5 = ●●

7 28 X 4

X 4

Since 7 x 4 = 28; multiply the numerator and denominator by 4

5 = ●●

7 28

5 = 20

7 28

1

CONFIDENTIAL 6

Example - 2

• 12 12 = = 22 18 ? 18 ?

• 12 12 = = 22 18 ? 18 ?

Since 12 ÷ 6 = 2; divide the numerator and denominator by 6.

÷ 6

÷ 6

12 = 2

18 3

Next I will do

CONFIDENTIAL 7

Now your turn!!!

• Replace each ‘*’ with a number so that the Replace each ‘*’ with a number so that the fractions are equivalent.fractions are equivalent.

1. 1. 6 6 = = * * 6 x 4 = 24, since 13 x 4 = 52 6 x 4 = 24, since 13 x 4 = 52 13 5213 522. 2. 2424 = = 3 3 24 24 ÷ 8 = 3; 48 ÷ 8 = 6÷ 8 = 3; 48 ÷ 8 = 6 48 * 48 *

Its easy

CONFIDENTIAL 8

SIMPLIFYING FRACTIONS

SIMPLIFY ?HMMM

CONFIDENTIAL 9

Simplifying Fractions

• A fraction is in the simplest form when the A fraction is in the simplest form when the GCF of the numerator and denominator is 1GCF of the numerator and denominator is 1

Like ½ , 1/3, ¼ etc…

CONFIDENTIAL 10

Write a fraction in its Simplest Form

To write a fraction in simplest form, To write a fraction in simplest form, ** divide the numerator and denominator by divide the numerator and denominator by

common factors until the only common factor is 1common factors until the only common factor is 1 OROR ** divide the numerator and denominator by the divide the numerator and denominator by the

GCF. GCF.

CONFIDENTIAL 11

Write fractions in Simplest formMETHOD 1METHOD 1Write Write 2020 in the simplest form in the simplest form 2424Divide by common factors. Divide by common factors.

20

24

÷ 4

÷ 4

=5

6

4 is GCF of 20 & 24

1 is the GCFOf 5 and 6

METHOD 2

Divide by the GCF

GCF = 4

20

24=

÷ 2

÷ 2

10

12=

÷ 2

÷ 2

5

6

2 is Common Factor of 20 & 24

1 is Common factor of 10 & 12

CONFIDENTIAL 12

Example – 2 • Write Write 21 21 inin its simplest formits simplest form 2424 GCF of 21 and 24GCF of 21 and 24Factors of 21 = 1, 3, 7, 21Factors of 21 = 1, 3, 7, 21Factors of 24 = 1, 2, 3, 4, 6, 8, 12, Factors of 24 = 1, 2, 3, 4, 6, 8, 12,

2424Common factors = 1, 3Common factors = 1, 3GCF = 3GCF = 3Divide 21 and 24 by 3Divide 21 and 24 by 3 21 21 ÷ 3 = 7 ; 24 ÷ 3 = 8÷ 3 = 7 ; 24 ÷ 3 = 8

So 21 = 7

24 8

CONFIDENTIAL 13

Now your turn • Write the fractions in its simplest form:Write the fractions in its simplest form: a) a) 5 5 - simplest form - simplest form 1313 b) b) 2424 = = 66 28 7 28 7 c) c) 49 49 = = 1 1

98 298 2

CONFIDENTIAL 14

HAVE A CUP OF COFFEE

CONFIDENTIAL 15

Can we play ?

• http://www.thekidzpage.com/freekidsgames/gahttp://www.thekidzpage.com/freekidsgames/games/alagames/pacmania.htmlmes/alagames/pacmania.html

Hai, now we can play.

CONFIDENTIAL 16

Practice Problems• Replace each * with a number so that the Replace each * with a number so that the

fractions are equivalent. fractions are equivalent.

1) * = 3 15 45

Ans: 1

2) 18 = * 24 4Ans: 3

3) 1 = 8 4 *Ans: 32

4) 7 = * 9 63Ans: 49

5) 256 = 16 * 32

Ans: 512

CONFIDENTIAL 17

Practice Problems

• Write each fractions in its simplest fractionWrite each fractions in its simplest fraction (i) (i) 6 6 (ii) (ii) 99 (iii) (iii) 12 12 (iv) (iv) 3636 (v) (v) 13 13 (vi)(vi) 80 80 18 11 48 72 19 11018 11 48 72 19 110Answers:Answers:(i) (i) 1 1 (ii) (ii) 9 9 (iii) (iii) 1 1 (iv) ½ (v) (iv) ½ (v) 13 13 (vi) (vi) 88 3 11 4 19 11 3 11 4 19 11

CONFIDENTIAL 18

Application Problems• Of 45 students in a class, 27 of them are boys. Of 45 students in a class, 27 of them are boys.

Write this fraction in its simplest form.Write this fraction in its simplest form.Answer Answer • 27 27 = = 3 3 , , 45 545 5Since 9 is the GCF of 27 and 45, we divide the Since 9 is the GCF of 27 and 45, we divide the

numerator and denominator of 9.numerator and denominator of 9.

CONFIDENTIAL 19

Now your turn

• New – born baby sleeps about 15 hours a day. New – born baby sleeps about 15 hours a day. Write Write 1515 as a fraction in its simplest form. as a fraction in its simplest form.

2424Answer:Answer: 15 15 = = 5 5 24 824 8

CONFIDENTIAL 20

Review

• Equivalent Fractions are fractions that name the Equivalent Fractions are fractions that name the same numbersame number

• A fraction is in the simplest form when the A fraction is in the simplest form when the GCF of the numerator and denominator is 1GCF of the numerator and denominator is 1

CONFIDENTIAL 21

THAT’S ALL FOR TODAYBYE.. BYE…