Class 6 - Mathematics : Fractions
Exercise : 7.4
Top Block 1
Question: 1.Write shaded portion as fraction. Arrange them in ascending and descending order using correct sign ‘<’, ‘>’, ‘=’ between the fractions:
(a)
Answer :
Mddle block 1
Question: 2.Compare the fractions and put an appropriate sign:
Answer :
Question: 3.Make five more each pairs and put appropriate signs.
Answer :
Question: 4.Look at the figures and write ‘<’ or ‘>’ between the given pairs of fractions:
Answer :
Question: 5.How quickly can you do this? Fill appropriate sign (<, =, >):
Answer :
Question: 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
(l) 4⁄25
Answer :
(a) 2⁄12 = 1⁄6
(b) 3⁄15 = 1⁄5
(c) 8⁄50 = 4⁄25
(d) 16⁄100 = 4⁄25
(e) 10⁄60 = 1⁄6
(f) 15⁄75 = 1⁄5
(g) 12⁄60 = 1⁄5
(h) 16⁄96 = 1⁄6
(i) 12⁄75 = 4⁄25
(j) 12⁄72 = 1⁄6
(k) 3⁄18 = 1⁄6
(l) 4⁄25 = 4⁄25
Equivalent groups:
I group: = 1⁄5 [(b), (f), (g)]
II group: = 1⁄6 [(a), (e), (h), (j), (k)]
III group: = 4⁄25 [(c), (d), (i), (l)]
Question: 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 ?
Answer :
Question: 8.Ila read 25 pages of a book containing 100 pages. Lalita read 25 of the same book. Who read less?
Answer :
Ila read 25 pages out of 100 pages.
Fraction of reading the pages = 25⁄100 = 1⁄4th part of book
Lalita read 2⁄5th part of book = 40⁄100 pages
Since 1⁄4 < 2⁄5
Therefore, Ila read less.
Question: 9. Rafiq exercised for 3⁄6 of an hour, while Rohit exercised for 3⁄4 of an hour. Who exercised for a longer time?
Answer :
Rafiq exercised 3⁄6 of an hour.
Rohit exercised 3⁄4 of an hour.
Since 3⁄4 > 3⁄6
Therefore, Rohit exercised for a longer time.
Question: 10.In a class A of 25 students, 20 passed in first class; in another class B of 30 students, 24 passed in first class. In which class was a greater fraction of students getting first class?
Answer :
In class A, 20 passed out of 25, i.e., 20⁄25 = 4⁄5
In class B, 24 passed out of 30, i.e., 24⁄30 = 4⁄5
Hence, each class have same fraction of student getting first class.