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 52

2. 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 1

Write Write 2020 in the simplest form in the simplest form

2424

Divide 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 24

Factors of 21 = 1, 3, 7, 21Factors of 21 = 1, 3, 7, 21

Factors of 24 = 1, 2, 3, 4, 6, 8, 12, Factors of 24 = 1, 2, 3, 4, 6, 8, 12, 2424

Common factors = 1, 3Common factors = 1, 3

GCF = 3GCF = 3

Divide 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 19 110

Answers: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 5

Since 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.

2424

Answer: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…