fractions study sheet Std 5

Shri Vile Parle Kelavani Mandal’s

C. N. M. SCHOOL & N. D. PAREKH PRE-PRIMARY SCHOOL

SUBJECT: MATHEMATICS TOPIC: FRACTIONS (STUDYSHEET)

NAME: ________________________ STD: V DIV : ___ ROLL NO : ____ DATE : _________

 Definition

A fraction can be defined as the part of a whole.

For eg: When an apple is cut into two equal halves it means each 1 of an

2

apple is a part of the whole apple.

A fraction is made up of two parts numerator and the denominator.

Numerator 1

2
Denominator

 Real life examples of fractions.
A pizza divided into 8 equal parts.

Measuring cups used to measure
ingredients while cooking.

 Frame two sentences that use fractions in daily life.For eg : “I have read one

fourth of the book”.

 Types of fractions.

1) Like fractions.

Fractions having same denominators are like fractions.

Eg :85 , 7 , 3 etc
8 8

2) Unlike fractions.

Fractions having different denominators are unlike fractions.

Eg: 2 , 7 , 11 etc
3 8 9

3) Unit fractions.

A fraction having numerator 1 is called a unit fraction.

Eg: 1 , 1 , 1 etc
8 7 12

4) Proper fractions

A fraction whose numerator is less than its denominator is called a proper

fraction.
Eg : 2 , 5 , 11 etc

3 7 13

5) Improper fractions

A fraction whose numerator is greater than or equal to its denominator is called an

improper fraction.
Eg: 4 , 5 , 45 etc

3 2 23

 LET’S RECAP
Q1 ) Classify the fractions given in the box below as like or unlike fractions:

3, 5 , 4 , 2 , 6 , 7

8 9 8 8 17 8

Q2) Identify the unit fractions in the following:

a)2 b) 3 c) 1 d) 1 e) 2 f) 3 1
1 5 7 11 19 6

Q3) Express the following improper fractions as mixed fractions:

a) 9 b) 41 c) 8 d) 35
87 3
11

Q4) Express the following mixed fractions as improper fractions.

a)4 7 b)1 9 c)113 4 d)2 3
8 11 7 5

Q5) Reduce the following fractions to their lowest terms.

a)1368 b)3220 c)110205 d)126869

Q6) Which of the following are equivalent fractions ?

a) 2 ,46 b)155 ,31 c) 2 ,142 d)1602 ,375
3 9

Q7) Fill in the empty blanks:

a) 7 =21 b)10 = c) =6 d) = 35

9 36 39 12 84

Q8) Fill in the blanks with < , > or = ( use cross multiplication method)

a) 1 1 b) 2 1 c) 1 1 d) 7 5
59 12 11
6 19 79 13

Q9) Compare and find which fraction is greater by finding the LCM of the
denominators.

a)172 , 11 b)14 , 1 c)43 , 7 d) 1 , 1
21 6 18 9 99

Q10) Arrange the following fractions in ascending order.

a)32 , 14 , 4 b)34 , 7 , 158, 5 c)34 , 5 , 16, 7 d)156, 78, 190, 17
15 5 12 6 12 9 20

Q11) Arrange the following fractions in descending order.

a) 2 ,154, 281, 11 b)12, 43, 78, 5 c)35 ,185 ,190 ,2170 d) 2 , 65, 78, 3
7 42 12 3 4

Q12) Vishal and Abdul sat for an examination. Vishal finished his examination
earlier by of the total time and Abdul finished earlier by of the total



time .Who took more time in writing the examination?

 ADDITION OF FRACTIONS.

Q1) Add the following.

a) 1 + 3 + 8 b) 7 + 8 +11 +10 c)1 + 15 d) 1 + 5 + 11
6 12 24
10 10 10 15 15 15 15 46

e) 6 1 + 31 f)1 7 + 2 1 + 2
8 8 5 3
8

Q2) Subtract the following.

a) 11 - 5 b) 7 - 3 c) 7 - 5 d) 7 - 1 e)3 1 - 15
17 17 12 12 8 12 16 24 6
8

f) 6 -1 5 g) 7 1 - 3 9

9 5 10

Q3) Solve the following word problems.

a) Three pins are 3 cm , 7 cm and 11 long. They are placed end to end. Find
5 10 15

their total length.

b) Rita does her homework on Wednesday in 2 hours , on Thursday in 3 hours and on

34

Friday in 5 hours.How much time does she work in three days ?

6

c) The sum of two numbers is 112.If one of them is 5 , find the other.
6

d) Rajan spends 1 of his salary on house rent and 1 on school fees. What part of his
3 4

salary does he spend more on house rent ?

e) Veena sleeps 8 1 hours in the night and studies 6 4 hours in school. How long

5 15

does she sleep more than study in school.

 MULTIPLICATION OF FRACTIONS

Q1) Represent the following pictorially.

a)1 x 2 b) 1 x 1 c)2 x 1

43 23 32

Q2) Multiply

a) 1 x2 b)31 x 7 c)290 x 15 d) 20 x9 e) 2 7 x 24 f)161 x 11 g)56 x 7
2 27 12 9

h) 13 x 9

18 13

i)9 4 x 2 1 j) 7 2 x 2 2 k) 1 2 x 3 l) 48 x 3 m) 60 x 8 n) 20 x 2
57 35 95 8 15 3

Q3) Find the value of :

a) 1 of 28 b) 7 of 30 c) 5 of 180 d) 7 of 156
2 10 6 13

Q4) Simplify

a) 3 x 11 x4 6 b)5 1 x 41 x 8 c) 2 1 x 3 1 x 2 2
4 7 3 9 4 5 3
3 2

Q5) Solve the following word problems:

a) The cost of an electric bulb is 6 21.Find the cost of 50 bulbs.

b) A man can walk 5 3 km in an hour. How much distance will he cover in 4 1
4 2

hours.

c) A class has 45 students. 2 of the class went on a picnic. How many students went
3

on a picnic ?

d) A cinema hall has 450 seats.4 seats were occupied in a show. How many people

5

watched the movie ? How many seats were vacant ?

 DIVISION OF FRACTIONS

Q1) Write the reciprocal e)2 4
a) 5 b) 9 c) 1 d) 1 7
9
38

Q2) Simplify

a) 1 ÷5 b) 9 ÷ 3 c) 7 ÷ 14 d) 1 6 ÷ 39 e) 4 ÷ 4 f) 8 ÷ 8 g) 6 ÷
7 9 7 29 13 11
3 13 11

12 h)9 ÷4 1
2
11

i) 3 5 ÷ 1 5 j) 82 ÷ 41
8 24
3 3

Q3) Solve the following word problems.

a) The product of two numbers is 2 4 .If one of the numbers is 1 1 , find the other.

56

b) A man is the owner of 4 of a property .He divides it equally among his 3 children.

5

Find the share of each child.

c) Vipin takes 7 1 hours to paint 5 tables. How much time will he take to paint 1 table
2

?

d) When I have travelled 25 km ,still 3 of my journey is left. What is the total length
5

of my journey.

e) At a charity show in a school each student buys a ticket costing 7 1. If the amount

2

collected is 3000, find the number of tickets sold .

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