Fractions
Exercise 7.4
Questions with (*) sign are open-ended questions.
1). Write shaded portion as fraction. Arrange them in ascending and descending order using correct sign ‘<’, ‘=’, ‘>’ between the fractions:
(a).
(b).
(c) Show 2/6, 4/6, 8/6, and 6/6 on the number line. Put appropriate signs between the fractions given.
Answer:
2). Compare the fractions and put an appropriate sign.
(*) 3). Make five more such pairs and put appropriate signs.
Answer:
4). Look at the figures and write ‘<’ or ‘>’, ‘=’ between the given pairs of fractions. Make five more such problems and solve them with your friends.
Answer:
5). How quickly can you do this? Fill appropriate sign. ( ‘<’, ‘=’, ‘>’)
(a). ½ □ 1/5 (b). 2/4 □ 3/6
(c). 3/5 □ 2/3 (d). ¾ □ 2/8
(e). 3/5 □ 6/5 (f). 7/9 □ 3/9
(g). ¼ □ 2/8 (h). 6/10 □ 4/5
(i). ¾ □ 7/8 (j). 6/10 □ 3/5
(k). 5/7 □ 15/21
Answer:
6). The following fractions represent just three different numbers. Separate them into three groups of equivalent fractions, by changing each one to its simplest form.
(a). 2/12 (b). 3/15
(c). 8/50 (d). 16/100
(e). 10/60 (f). 15/75
(g). 12/60 (h). 16/96
(i). 12/75 (j). 12/72
(k). 3/18 (i) 4/25
Solution:
a). 2/12
2/12 = 2 ÷ 2 / 12÷ 2 = 1/6
(b). 3/15
3/15 = 3 ÷3 /15 ÷ 3 = 1/5
(c). 8/50
8/50 = 8 ÷ 2 / 50 ÷ 2 = 4/25
(d). 16/100
16/100 = 16 ÷ 4/100÷ 4 = 4/25
(e). 10/60
10/60 = 10 ÷ 10/60 ÷ 10 = 1 / 6
(f). 15/75
15/75 = 15 ÷ 15/75 ÷ 15 = 1/5
(g). 12/60
12/60 = 12 ÷ 12 / 60 ÷ 12 = 1/5
(h). 16/96
16/96 = 16 ÷ 16 /96 ÷ 16 = 1/6
(i). 12/75
12/75 = 12 ÷ 3 / 75 ÷ 3 = 4 / 25
(j). 12/72
12/72 = 12 ÷ 12 / 72 ÷ 12 = 1/6
(k). 3/18
3/18 = 3 ÷ 3 / 18 ÷ 3 = 1/6
(i) 4/25
4/25 = 4/25
7). Find answers to the following. Write and indicate how you solved them.
(a) Is 5/9 equal to 4/5?
(b) Is 9/16 equal to 5/9?
(c) Is 4/5 equal to 16/20?
(d) Is 1/15 equal to 4/30?
8). Ila read 25 pages of a book containing 100 pages. Lalita read 2/5 of the same book. Who read less?
Pages read by Ila = 25/100 = 25 ÷ 25 / 100 ÷ 25 = 1/4
Pages read by Lalita = 2/5
1 X 5 = 5
4 X 2 = 8
5 < 8
¼ < 2/5
Ans: Ila read the less.
9). Rafiq exercised for 3/6 of an hour, while Rohit exercised for ¾ of an hour. Who exercised for a longer time?
Exercise time of Rafiq = 3/6 = 3 ÷ 3/ 6 ÷ 3 = ½
Exercise time of Rohit = ¾
1 X 4 = 4
2 X 3 = 6
4 < 6
½ < ¾
3/6 < ¾
Ans: Rohit exercised for longer time.
10). In class A of 25 students, 20 passed with 60% or more marks; in another class B of 30 students, 24 passed with 60% or more marks. In which class was a greater fraction of students getting with 60% or more marks?
For class A
Students passed with 60% or more marks = 20/25
= 20 ÷5 / 25 ÷ 5
= 4/5
For class B
Students passed with 60% or more marks = 24/30
= 24 ÷6 / 30 ÷ 6
= 4/5
Comparing both the fractions 4/5 = 4/5
Ans: Both the classes A and B have same fraction.
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