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Chapter 7: Fractions

    Introduction

    A Fraction

    Fraction on the Number Line

    Proper Fractions

    Improper and Mixed Fractions

    Equivalent Fractions

    Like Fractions and Unlike Fractions

    Comparing Fractions

    Addition and Subtraction of Fractions

    Exercise 7.1

    Exercise 7.2

    Exercise 7.3

    Exercise 7.4

    Exercise 7.5

    Exercise 7.6

    What Have We Discussed ?

    Enhanced Curriculum Support

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Chapter 7: Fractions > Exercise 7.3

Exercise 7.3

1. Write the fractions. Are all these fractions equivalent?

(a)

(i)

Shaded part =

(ii)

Shaded part = = (Simplest form)

(iii)

Shaded part = = (Simplest form)

(iv)

Shaded part = = (Simplest form)

, all these fractions are equivalent.

(b)

(i)

Fraction = = (Simplest form)

(ii)

Fraction = = (Simplest form)

(iii)

Fraction = = (Simplest form)

(iv)

Fraction =

(v)

Fraction = = (Simplest form)

, all these fractions equivalent.

Write the fractions and pair up the equivalent fractions from each row.

Replace blank in each of the following by the correct number.

(a) 27 = 8

(b) 58 = 10

(c) 35 = 20

(d) 4560 = 15

(e) 1824 = 4

Find the equivalent fraction of 35 for below denominator as (D) numerator as (N)

Instruction

(a) denominator 20

N20 = 35
5 × N = × 3
N = =
The required fraction is

(b) numerator 9

9D = 35
3 × D = × 5
D = =
The required fraction is

(c) denominator 30

N30 = 35
5 × N = × 30
N = =
The required fraction is

(d) numerator 27

27D = 35
3 × D = × 27
D = =
The required fraction is .

Find the equivalent fraction of 3648 with below denominator as (D) numerator as (N).

Instruction

(a) numerator 9

9D = 3648
D × = 9 ×
D = =
So, the equivalent fraction is

(b) denominator 4

N4 = 3648
N × = 4 ×
N = =
So, the equivalent fraction is .

Check whether the given fractions are equivalent.

(a)59 , 3054

We have 5 × 54 = and 9 × 30 =

Here 5 × 54 9 × 30

59 and 3054 are fractions.

(b)310 , 1250

We have 3 × 50 = and 10 × 12 =

Here 3 × 50 10 × 12

310 and 1250 are fractions.

(c)713 , 511

We have 7 × 11 = and 5 × 13 =

Here 7 × 11 5 × 13

713 and 511 are fractions.

Reduce the following fractions to simplest form.

(a-c)

(a) 4860

GCD of 48 and 60 =

4860 =

So, the fraction 4860 in its simplest form is .

(b) 15060

GCD of 150 and 60 =

15060 =

So, the fraction 15060 in its simplest form is .

(c) 8498

GCD of 84 and 98 =

8498 =

So, the fraction 8498 in its simplest form is .

(d-e)

(d) 1250

GCD of 12 and 50 =

1250 =

So, the fraction 1250 in its simplest form is .

(e) 728

GCD of 7 and 28 =

728 =

So, the fraction 728 in its simplest form is .

Ramesh had 20 pencils, Sheelu had 50 pencils and Jamaal had 80 pencils. After 4 months, Ramesh used up 10 pencils, Sheelu used up 25 pencils and Jamaal used up 40 pencils. What fraction did each use up? Check if each has used up an equal fraction of her/his pencils?

Ramesh used up 10 pencils out of pencils.

Fraction = =

Thus, Ramesh uses up 12 of his pencils.

Sheelu used up 25 pencils out of pencils.

Fraction = = =

Thus, Sheelu uses up 12 of his pencils.

Jamaal used up 40 pencils out of pencils.

Fraction = =

Thus, Jamal uses up 12 of his pencils.

From our answers, we can see that, , they use the same amounts of pencils.

Match the equivalent fractions and write two more for each.

250/400
180/200
660/990
180/360
220/550
2/3
2/5
1/2
5/8
9/10

Equivalent fraction of 23 = and

Equivalent fraction of 25 = and

Equivalent fraction of 12 = and

Equivalent fraction of 58 = and

Equivalent fraction of 910 = and