CBSE Class 3 Mathematics Fractions Worksheet Set 03

LEARNING OBJECTIVES

This lesson will help us to:—
• define fractions, numerator and denominator.
• identify a fractions using object and shapes.
• understand equivalent fractions.
• compare fractions.
• add unit fractions with like denominators.

Real Life Examples
• An hour is divided in fraction of hours. For instance, half (1/2) an hour; quarter of an hour.

• Sports like football, have half time in the game. Half time shows a break marking the completion of half of a game.

Example: Find half of a day in hours.
Solution: 1/2 of day = 1/2 × 24 hours = 24/2 = 24 ÷ 2 = 12 hours

QUICK CONCEPT REVIEW
When a whole object or group is divided into equal parts, then each part is called a fraction of that whole.
Suppose, there is an apple and you want to divide it equally among 2 friends then equal pieces of the apple form fractions.
A fraction is a part of a whole divided in equal parts.

PROPERTIES OF FRACTION
•  A fraction is written in the form of N/D ; D ≠ 0.
Here N is called the numerator and D is called the denominator.
For example : 1/3 means one part out of 3 equal parts.
•  When a whole is divided in 2 equal parts, then each part is called a half and is written as 1/2 .

• Fractions that appear differently but have the same value are called equivalent fractions.
For example 1/2 , 2/4 and 3/6

• In a fraction, multiply the numerator and denominator by the same number to get an equivalent fraction.
For example : 1/4 = 1/4 × 3/3 = 3/12
So, 1/4 and 3/12 are equivalent fractions.

Historical preview
• The Egyptions were one of the first groups to study fractions. It evolved from problems like division of food as there was no money to make payment.
• The Arabs introduced the fractional bar in the 12th century.

TYPES OF FRACTIONS
Let us now understand different kinds of fractions.
Fractions can be divided into two categories:
1. Like and Unlike fractions.
2. Proper and Improper fractions.
Like Fractions are those fractions which have the same denominators.
1/9, 2/9, 3/9, 5/9, 6/9 etc. are all like fractions.
Unlike Fractions are those fractions which have different denominators. 1/3, 2/13, 4/9, 5/8, 6/11 are all unlike fractions.
Proper Fractions are those fractions in which the numerator is less than the denominator. 1/2, 2/3, 4/5, 6/7, 8/9, 9/11 are all proper fractions.
Improper Fractions are those fractions in which the numerator is greater than the denominator. 3/2, 8/5, 7/4, 12/10 are improper fractions.

Amazing Facts
• The word fraction has originated from a Latin word fraction, which means broken.
• Koalas sleeps for 3th 4 of the day.
• Our body is composed of an average of 3th 5 part of water.

GAMES
• Take paper cut outs of basic shapes like circle, square and rectangle. Now fold the paper to get equal parts. It’s time to colour. Colour half, quarter, one third of different shapes.

Misconcept/Concept

Misconcept: The bigger the number on the bottom the bigger the fraction.

Concept: The number in the bottom tells us the number of parts whole is divided into.

Misconcept: Half means dividing one whole into 2 pieces.

Concept: Half means dividing a whole in 2 equal parts

Question. What fraction of the figure is shaded ?

(a) 1/4
(b) 1/2
(c) 3/4
(d) 3/8
Answer : (B) Count the total number of parts = 8
The number of parts shaded = 4
Fraction of the figure shaded = 4/8 = 1/2

Question. How many equal parts does the figure below have ?

(a) 2
(b) 3
(c) 4
(d) 0
Answer : (D) The dotted lines divide the shape in 4 parts. However none of the parts are equal.
Hence there are 0 equal parts in the figure.

Question. How many equal parts does the shape below have ?

(a) 0
(b) 3
(c) 2
(d) 4
Answer : (C) The dotted line divided the heart shape in 2 equal parts

Question. Which shapes(s) show one-fourth shaded ?

(a) A and B
(b) B and D
(c) E and D
(d) A and C
Answer : A

Question. Which shape is shown half shaded ?

(a) A
(b) B
(c) A and C
(d) B and D
Answer : D

Question. Which one of the following is correct about the shaded parts fo the following picture in the form of fraction?

(a) 1(3/4)
(b) 1(5/3)
(c) 5(3/4)
(d) All of these
Answer : (A) 1 + 3/4 = 1(3/4)

Question. If

is equal to which one of the following?
(a) 3(1/2)
(b) 5(1/2)
(c) 2(1/2)
(d) 2(1/4)
Answer : C

Question. 1/4 : 2/8 : : 1/3 : ?
(a) 3/6
(b) 2/6
(c) 19
(d) 2/9
Answer : B

Question. 3/4: 4/3 : : 2/5 : ?
(a) 5/2
(b) 2/10
(c) 5/10
(d) 3/10
Answer : A

Question. 1/2 : 1/4 : : 1/5 : ?
(a) 1/8
(b) 1/10
(c) 1/15
(d) 1/6
Answer : B

Question. In the figure given below find the shaded parts of the whole figure.

(a) 7/3
(b) 3/7
(c) 3/4
(d) 4/3
Answer : (A) Shaded parts of figure = 3
Total number of parts in the figure = 7
Required shaded parts in the figure = 3/7

Question. Which one of the following is correctly matched for shaded parts?

Answer : (C) Fraction for shaded parts = 4/6 = 2/6

Question. Which fraction is odd one out ?
1/2, 1/3, 2/10, 4/3
(a) 1/2
(b) 1/3
(c) 1/5
(d) 4/3
Answer : D

Question. Which fraction is odd one out ?
3/6, 2/4, 3/5, 4/10
(a) 3/6
(b) 2/4
(c) 3/5
(d) 4/10
Answer : C

Question. Find the unshaded parts of the given picture.

(a) 8/11
(b) 7/11
(c) 5/8
(d) 3/8
Answer : C

Question. Arrange the following fractions in descending order: 5/50, 1/50, 50/50
(a) 5/50 > 50/50 > 1/50
(b) 50/50 > 5/50 > 1/50
(c) 5/50 > 1/50 > 50/50
(d) All of these
Answer : B

Question. Which one of the following options has a pair of equivalent fraction?
(a) 1/3, 3/4
(b) 5/6, 10/6
(c) 4/9, 32/72
(d) 4/7, 24/28
Answer : C

Question. Identify the 3/4 part of 100.
(a) 25
(b) 50
(c) 75
(d) 100
Answer : C

Question. Which of these has the largest value?
(a) 2 times of (2 × 2)
(b) 14th of 8
(c) 1 × 10
(d) Half of 22
Answer : D

Please click the below link to access CBSE Class 3 Mathematics Worksheet (50) - Fractions