Fractions Grade 4 · 2016. 3. 1. · Grade 4 Fractions For more such worksheets visit Answer the questions (1) Shade the picture to show following fractions: A) 6 7 B) 4 7 C) 6 10

Grade 4Fractions

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Answer the questions

(1) Shade the picture to show f ollowing f ractions:A)

6

7

B) 4

7

C)

6

10

D)

9

12

(2) What f raction is represented by shaded portion of these shapes :A)

B)

C)

D)

E)

F)

ID : ph-4-Fractions [1]

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(3) The f ollowing f igure shows f ruits in a basket at Benjie's house. What f raction of f ruits areapples?

(4) Shade the images to show the f ollowing f raction addition .

4

9

+ 1

9

+ 1

9

=

and and makes

Choose correct answer(s) from given choice

(5)Fermin has planted many f ruits in his f arm. He planted

2

14 of a f arm with bananas,

2

14 with

pears and 5

14 with apples. How much of the Fermin 's f arm is planted with f ruits ?

a. 7

14 b.

9

14

c. 14

9

(6) Which mixed f raction is shown by the f igure given below ?

a. 37

8 b. 4

7

8

c. 38

7 d. 3

1

8

Fill in the blanks



(7) Write the f ollowing f ractions in the simplest f orm:A)

24

80 = .

B)

9

18 = .

C)

7

98 = .

D)

35

133 = .

E)

27

45 = .

F)

8

16 = .

(8) Subtract the f ollowing f ractions and reduce them to the simplest f orm:A)

46

45 -

2

9 =

B) 50

7 -

7

1 =

C) 21

30 -

1

5 =

D) 27

6 -

6

3 =

E) 26

3 -

8

3 =

F) 9

4 -

2

4 =

(9) Fill in the blank with < , > , or = sign:A)

10

4

16

4

B)

7

19

5

19

C)

8

17

6

17

D) 20

17

7

17

E) 3

2

16

2

F) 16

14

6

14

(10) In like f ractions, the numerator, the smaller the number will be.

(11)

3

19 +

1

19 +

3

19 =

(12) Fractions with same denominators are called f ractions.

(13) A f raction in which numerator is smaller than the denominator is called f raction.



(15)Iska ate

2

7 of pizza in the dinner. If she had

5

7 of pizza, the part of the pizza that is lef t

with her is .

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Answers

(1) A)

Step 1

If you look at the picture caref ully, you will notice that the picture is divided into 7equal parts.

Step 2

Now to show the f raction 6

7 , we have to shade any 6 parts of the picture out

of the 7 parts.

Step 3

Theref ore the shaded picture is like as:



B)

Step 1

If you look at the picture caref ully, you will notice that the picture is divided into 7equal parts.

Step 2



of the 7 parts.

Step 3




C)

Step 1

If you look at the picture caref ully, you will notice that the picture is divided into10 equal parts.

Step 2



of the 10 parts.

Step 3




D)

Step 1

If you look at the picture caref ully, you will notice that the picture is divided into12 equal parts.

Step 2



of the 12 parts.

Step 3




(2) A)

6

7

Step 1

We have been asked to f ind the f raction that represents the shaded portion ofthe f ollowing shape:

Step 2

Total number of equal parts in the image = 7Number of parts that are shaded in the image = 6

Step 3

Fraction of parts of the image that are shaded = Number of shaded parts

Total number of parts

= 6

7

Step 4

Hence, the f raction that is represented by the shaded portion of the shape is 6

7

.



B)

9

10

Step 1


Step 2


Step 3



= 9

10

Step 4


10 .



C)

9

14

Step 1


Step 2


Step 3



= 9

14

Step 4


14 .



D)

4

5

Step 1


Step 2


Step 3



= 4

5

Step 4


5

.



E)

9

13

Step 1


Step 2


Step 3



= 9

13

Step 4


13 .



F)

7

10

Step 1


Step 2


Step 3



= 7

10

Step 4


10 .

(3)

4

12

Step 1

Lets count all f ruits in this box. There are total 12 f ruits, out of which 4 are apples

Step 2

Theref ore f raction of apples,= (Number of apples) / (Total number of f ruits)

= 4

12



(4) 4

9

+ 1

9

+ 1

9

=

and and makes

(5)b.

9

14

(6)a. 3

7

8



(7) A)

24

80 =

3

10

.

Step 1

A f raction is said to be in the simplest/lowest f orm if its numerator and thedenominator have no common f actor higher than 1. In other words, we can saythat a f raction is said to be in the simplest/lowest f orm if the HCF of itsnumerator and denominator is equal to 1.

Step 2

If f or any f raction, both the numerator and the denominator are divided by theirHCF, the HCF of the new numerator and denominator will be 1. This means thatthe new f raction will be in its simplest/lowest f orm.

Step 3

In order to write the f raction 24

80 in the simplest/lowest f orm, let us f ind the

HCF of 24 and 80:

2 | 24

2 | 12

2 | 6

3 | 3

| 1

Factors of 24 = 2 × 2 × 2 × 3

2 | 80

2 | 40

2 | 20

2 | 10

5 | 5

| 1

Factors of 80 = 2 × 2 × 2 × 2 × 5

The HCF of 24 and 80 is 2 × 2 × 2 = 8.

Step 4

Now, let us divide both the numerator and denominator of the f raction 24

80 by

its HCF 8 in order to bring it into its simplest/lowest f orm:

24

80 =

24 ÷ 8

80 ÷ 8 =

3

10

Step 5



Hence, the simplest/lowest f orm of 24

80 is

3

10 .



B)

9

18 =

1

2

.

Step 1


Step 2


Step 3



HCF of 9 and 18:

3 | 9

3 | 3

| 1

Factors of 9 = 3 × 3

2 | 18

3 | 9

3 | 3

| 1

Factors of 18 = 2 × 3 × 3

The HCF of 9 and 18 is 3 × 3 = 9 .

Step 4


18 by


9

18 =

9 ÷ 9

18 ÷ 9 =

1

2

Step 5


18 is

1

2 .



C)

7

98 =

1

14

.

Step 1


Step 2


Step 3



HCF of 7 and 98:

7 | 7

| 1

Factors of 7 = 7

2 | 98

7 | 49

7 | 7

| 1

Factors of 98 = 2 × 7 × 7

The HCF of 7 and 98 is 7.

Step 4


98 by


7

98 =

7 ÷ 7

98 ÷ 7 =

1

14

Step 5


98 is

1

14 .



D)

35

133 =

5

19

.

Step 1


Step 2


Step 3



HCF of 35 and 133:

5 | 35

7 | 7

| 1

Factors of 35 = 5 × 7

7 | 133

19 | 19

| 1

Factors of 133 = 7 × 19

The HCF of 35 and 133 is 7.

Step 4


133 by


35

133 =

35 ÷ 7

133 ÷ 7 =

5

19

Step 5


133 is

5

19 .



E)

27

45 =

3

5

.

Step 1


Step 2


Step 3



HCF of 27 and 45:

3 | 27

3 | 9

3 | 3

| 1

Factors of 27 = 3 × 3 × 3

3 | 45

3 | 15

5 | 5

| 1

Factors of 45 = 3 × 3 × 5

The HCF of 27 and 45 is 3 × 3 = 9 .

Step 4


45 by


27

45 =

27 ÷ 9

45 ÷ 9 =

3

5

Step 5


45 is

3

5 .



F)

8

16 =

1

2

.

Step 1


Step 2


Step 3



HCF of 8 and 16:

2 | 8

2 | 4

2 | 2

| 1

Factors of 8 = 2 × 2 × 2

2 | 16

2 | 8

2 | 4

2 | 2

| 1

Factors of 16 = 2 × 2 × 2 × 2

The HCF of 8 and 16 is 2 × 2 × 2 = 8.

Step 4


16 by


8

16 =

8 ÷ 8

16 ÷ 8 =

1

2

Step 5


16 is

1

2 .



(8) A) 46

45 -

2

9 =

4

5

B) 50

7 -

7

1 =

1

7

C) 21

30 -

1

5 =

1

2

D) 27

6 -

6

3 =

5

2

E) 26

3 -

8

3 =

6

1

F) 9

4 -

2

4 =

7

4

(9) A) <

B) >

C) >

D) >

E) <

F) >

(10) smaller

(11) 7 19

(12) like



(14) 6

Step 1

It is given that sum of f ractions is equal to 1. Theref ore nominator and denominator of thesum should be equal

Step 2

On addition of f raction we get,

19

+ 3

19 +

4

19 +

6

19 =

+ 3 + 4 + 6

19

Step 3

As we know that nominator and denominator of sum are equal, + 3 + 4 + 6 = 19

Step 4

Now it can be seen that above relation is satisf ied only when is equal to 6. Theref ore, = 6

(15)Iska ate

2

7 of pizza in the dinner. If she had

5

7 of pizza, the part of the pizza that is lef t

with her is 3

7 .



Answer the questionsChoose correct answer(s) from given choiceFill in the blanksAnswers

Documents

Fractions Grade 4 · 2016. 3. 1. · Grade 4 Fractions For more such worksheets visit Answer the questions (1) Shade the picture to show following fractions: A) 6 7 B) 4 7 C) 6 10