Grade 4 Fractions - Edugain...Grade 4 Fractions For more such worksheets visit Answer the questions...

Grade 4Fractions

For more such worksheets visit www.edugain.com

Answer the questions

(1) Convert 63

13 into a mixed fraction.

(2) Convert 67

12 to improper fraction.

(3) Aleser had to pickup a friend while going to school. Aleser walked 3

10 of a kilometer to his friend's

house. After that he walked 4

10 of a kilometer to reach the school. How far did he walk in all ?

(4) What fraction is represented by shaded portion of these shapes :

A)

B)

C)

D)

E)

F)

(5) A 4

5 kg cauliflower is cut into 5 equal pieces. Find the weight of each piece.

(6) Dirran read 6

9 of a book in two days. If Dirran read

5

9 of the book on the first day. What fraction of

the book she read on the second day?

ID : ae-4-Fractions [1]

Copyright 2017 www.edugain.com Personal use only. Commercial use is strictly prohibited.

https://www.edugain.com/math/grade-4/Fractions

(7) Shade the images to show the following fraction addition.

3

6 +

2

6 =

and makes

(8) Shade the images to show the following fraction addition:

2

9 +

3

9 +

4

9 =

and and makes

Choose correct answer(s) from the given choices

(9) The fraction of the shaded part in three of the given figures is equivalent. Find the odd one out.

a. b.

c. d.



(10) The options given below represent a line that has been divided into 16 equal parts. Choose the option which represents

a.

0 1316

b.

0

c.

0 1316

d.

0

Fill in the blanks

(11) Fractions with different denominators are called fractions.

(12) Subtract the following fractions

A) 12

17 -

8

17 =

B) 10

12 -

3

12 =

C) 10

14 -

4

14 =

D) 5

9 -

2

9 =

E) 7

10 -

5

10 =

F) 8

9 -

1

9 =

(13) In like fractions, the numerator, the smaller the fraction will be.

(14) Fill in the blank ..

A) 9

- 5

9 =

2

9 B)

5 -

1

7 =

4

7 C)

8

9 -

2 =

6

9



D) 5

6 -

4

6 =

6 E)

10

14 -

3

14 =

7 F)

8 -

5

13 =

3

13

(15) Fill in the blank with or = sign.

3

4

6

7

© 2017 Edugain (www.edugain.com). All Rights Reserved

Many more such worksheets can begenerated at www.edugain.com



https://www.edugain.com

Answers

(1) 411

13

Step 1

63

13 is an improper fraction in which the numerator is greater than the denominator. Converting

an improper fraction into a mixed fraction implies expressing the improper fraction as the sum of awhole number and a proper fraction.

Step 2

To express the given fraction in the form of a mixed fraction, we will divide 63 by 13. Now, thequotient obtained will represent the whole number while the remainder will become the numeratorof the proper fraction.

Step 3

The denominator of the proper fraction part will remain the same as that of the improper fraction,i.e., 13.

Step 4

When we divide 63 by 13, we get the quotient as 4 and the remainder as 11.

Dividend↴

Divisor→ 13 ) 6 3 ( 4 ←Quotient5 2

Remainder← 11

Step 5

Thus 63

13 can be written in the mixed form as 4

11

13 .



(2) 79

12

Step 1

A mixed fraction has two parts: a whole number and a proper fraction. In 67

12 , the whole

number is 6 and the proper fraction is 7

12 .

Step 2

To convert a mixed fraction into an improper fraction, we need to multiply the denominator of theproper fraction part by the whole number, and add to it the numerator. The resultant numberbecomes the new numerator for the improper fraction.

Step 3

This means, the new numerator for the improper fraction will be 12 × 6 + 7 or 79.

Step 4

The denominator will remain the same as that of the proper fraction part. This gives us our answer

as 79

12 .



(3) 7

10

Step 1

Distance covered by Aleser to reach his friend's house = 3

10 of a kilometer

Distance covered by Aleser from his friend's to school = 4

10 of a kilometer

Step 2

Total distance covered by Aleser while going to school = 3

10 +

4

10

= 3 + 4

10

= 7

10

Step 3

Therefore, he walked 7

10 kilometer in all.



(4) A) 9

13

Step 1

We have been asked to find the fraction that represents the shaded portion of thefollowing shape:

Step 2

Total number of equal parts in the image = 13Number of parts that are shaded in the image = 9

Step 3

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

Total number of parts

= 9

13

Step 4

Hence, the fraction that is represented by the shaded portion of the shape is 9

13 .



B) 6

10

Step 1


Step 2


Step 3



= 6

10

Step 4


10 .



C) 8

9

Step 1


Step 2


Step 3



= 8

9

Step 4


9 .



D) 8

13

Step 1


Step 2


Step 3



= 8

13

Step 4


13 .



E) 5

8

Step 1


Step 2


Step 3



= 5

8

Step 4


8 .



F) 2

3

Step 1


Step 2


Step 3



= 2

3

Step 4


3 .



(5) 4

25 kg

Step 1

According to the question, we have to cut 4

5 kg cauliflower into 5 equal pieces. For this, we

need to divide 4

5 by 5.

Step 2

To divide 4

5 by 5, let us multiply

4

5 by the reciprocal of 5.

Reciprocal of 5 = 1

5

So, 4

5 ÷ 5 =

4

5 ×

1

5

Step 3

Multiplying the numerators together and the denominators together, we get,

4

5 ×

1

5 =

4

25

Step 4

To convert the fraction into the simplest form, let us divide the numerator and denominator of theabove fraction by their H.C.F, that is 1

4

25 =

4

1

25

1

= 4

25

Step 5

Hence, the weight of each piece is 4

25 kg.



(6) 1

9

Step 1

Fraction of the book read by Dirran in two days = 6

9

Fraction of the book read by Dirran on the first day = 5

9

Step 2

Fraction of the book read by Dirran on the second day = Fraction of the book read by Dirran in twodays − Fraction of the book read by Dirran on the first day

= 6

9 −

5

9

= 6 − 5

9

= 1

9



(7) 3

6 +

2

6 =

5

6

+ =

Step 1

A proper fraction represents a part of a whole. In the given figures, each circle represents onewhole thing, and has been divided into 6 equal parts.

Step 2

The fact that only 3 parts are shaded in the first circle tells us that it represents the fraction 3

6 or

â??3 parts out of a thing that has been broken into 6 partsâ??.

Step 3

Similarly the second circle represents â??2 parts of a thing that has been broken into 6 partsâ??.

Step 4

3 parts plus 2 parts of something that has been broken into 6 parts will be same as â??5 parts out

of 6 â??, or 5

6 .

Step 5

So our answer is 5

6 and this can be represented using the third circle by shading 5 parts out of

6.



(8) 2

9 +

3

9 +

4

9 =

9

9

and and makes

Step 1

A proper fraction represents a part of a whole. In the given figures, each circle represents onewhole thing, and has been divided into 9 equal parts.

Step 2

The fact that only 2 parts are shaded in the first circle tells us that it represents the fraction 2

9 or

‘2 parts of a thing that has been broken into 9 parts’.

Step 3

Similarly, the second circle represents ‘3 parts of a thing that has been broken into 9 parts’.

Step 4

Similarly, the third circle represents ‘4 parts of a thing that has been broken into 9 parts’.

Step 5

2 parts plus 3 parts plus 4 parts of something that has been broken into 9 parts will be same as ‘9

parts out of 9’, or 9

9 .

Step 6

So our answer is 9

9 and this can be represented using the third circle by shading 9 parts out of

9.



(9) a.

Step 1

Let us write the fraction of the shaded part for each of the given figures.

We know, fraction of the shaded part = Number of shaded parts

Number of parts the whole is divided into

Step 2

Option a: Fraction of the shaded part = 1

5

Option b: Fraction of the shaded part = 16

20

Option c: Fraction of the shaded part = 8

10

Option d: Fraction of the shaded part = 12

15

Step 3

Now, we can see that:

12

15 =

12 ÷ 3

15 ÷ 3 =

4

5

16

20 =

16 ÷ 4

20 ÷ 4 =

4

5

8

10 =

8 ÷ 2

10 ÷ 2 =

4

5

Hence, we conclude that 12

15 ,

16

20 and

8

10 are equivalent fractions. So,

1

5 is the odd one

out.

Step 4

Therefore, option a is the odd one out.



(10) d.

0 1316

Step 1

According to the question, we have to represent the fraction 13

16 on a number line. As the

denominator of the fraction is 16, we will divide the space between every two consecutive numbersinto 16 equal parts.

Step 2

To mark 13

16 , we need to move 13 parts on the right side of 0.

Hence, 13

16 is represented on the number line as follows:

0 1316

Step 3

Comparing the number line drawn in step 2 with those given in the options, we conclude thatoption d is the correct representation of the given fraction on the number line.

(11) unlike

The fractions who have different denominators are called unlike fractions.



(12) A) 12

17 -

8

17 =

4

17

Step 1

The given fractions are like fractions as their denominators are same.

Step 2

We know that we can directly add/subtract the numerators of like fractions and thedenominator will remain the same.

Step 3

This means the new fraction will be:

12

17 -

8

17 =

12 - 8

17 , or

4

17

B) 10

12 -

3

12 =

7

12

Step 1


Step 2


Step 3


10

12 -

3

12 =

10 - 3

12 , or

7

12



C) 10

14 -

4

14 =

6

14

Step 1


Step 2


Step 3


10

14 -

4

14 =

10 - 4

14 , or

6

14

D) 5

9 -

2

9 =

3

9

Step 1


Step 2


Step 3


5

9 -

2

9 =

5 - 2

9 , or

3

9



E) 7

10 -

5

10 =

2

10

Step 1


Step 2


Step 3


7

10 -

5

10 =

7 - 5

10 , or

2

10

F) 8

9 -

1

9 =

7

9

Step 1


Step 2


Step 3


8

9 -

1

9 =

8 - 1

9 , or

7

9

(13) smaller

Step 1

Like fractions are those who have the same denominator. For such fractions the value of theoverall fraction depends directly on the value of their numerator.

Step 2

Therefore, in like fractions, smaller the numerator, smaller is the fraction.



(14) A) 7

Step 1

We can see that the denominators are the same for all the fractions. So the resultantnumerator depends on the subtraction of first two numerators.

Step 2

The difference between the numerators is 2 and the smaller one of them is 5, whichmeans the larger one will be the sum of the difference and the smaller numerator: 2 + 5= 7.

Step 3

The missing number is 7.

B) 7

Step 1

The resultant fraction has the numerator equal to the difference of numerators of thegiven two fractions. So the denominators of all the given fractions have to be the same.

Step 2


C) 9

Step 1


Step 2


D) 1

Step 1

We can see that the denominators are the same for all the fractions. So the resultantdifference depends on the subtraction of numerators. The resultant difference: 5 - 4 =1.

Step 2




E) 14

Step 1


Step 2


F) 13

Step 1


Step 2




(15) <

Step 1

The above question is about comparing two unlike fractions. Fractions having differentdenominators are called unlike fractions.

Step 2

Let us understand the comparison of two unlike fractions (i.e. 3

4 and

6

7 ) through a simple

illustration using a circle.

Step 3

Let us take a circle and divide the circle into 4 equal parts. The shaded region in the circle

represents 3

4 of a circle.

Step 4

Similarly, let us divide the same circle into 7 equal parts. The shaded region in the circle

represents 6

7 of a circle.

Step 5

Thus, from the above illustrations we can infer that 3

4 is smaller than

6

7 .



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

Date post:	26-Jan-2021
Category:	Documents
Upload:	others
View:	1 times
Download:	0 times

Grade 4 Fractions - Edugain...Grade 4 Fractions For more such worksheets visit Answer the questions...

Documents