EXERCISE 7.4:
1). Write each fraction. Arrange them in ascending and descending order using correct sign (<), (=), (>). between the fraction
2). Compare the fraction and put an appropriate sign.
Pairing up
[a]=[ii], [b]=[iv], [c]=[i], [d]=[v], [e]=[vi]
3). Make five more such pairs and put appropriate signs.
Ans:
i) 4/9 < 7/9
ii)1/7 < 1/5
iii) 7/13 < 11/13
iv) 2/4 = 3/6
v) 1/5 < 1/2
4). Name the fraction and arrange them in ascending order:
Ans: Ascending order: 0/6 < 1/6 <2/6 <3/6 <4/6 <5/6 <6/6
5). Look at the figure and write (<) or (>) , (=) between the pairs of fraction
Ans:
a) 1/6 (<) 1/3
b)3/4 (>) 2/6
c)2/3 (>) 2/4
d)6/6 (=) 3/3
e)0/1 (=) 0/6
f) 5/6 (<) 5/5
Make five more such problems and solve them with your friends
a)1/2 (>) 3/4
b) 2/2 (=) 5/5
c) 2/4 (<) 1/3
d) 4/5 (<) 3/4
e) 4/6 (<) 1/3
6). How quickly can you do this? Fill appropriate signs ( < , = , > )
Ans:
a) 1/2 {>} 1/5 b) 2/4 {=} 3/6 c) 3/5 {<} 2/3 d) 3/4 {>} 3/8
e) 3/5 {<} 6/5 f) 7/9 {>} 3/9 g) 1/4 {=} 2/8 h) 6/10 {<} 4/5
i) 3/4 {<} 7/8 j) 6/10 {<} 4/5 k) 5/7 {=} 15/21
7). The following fractions represent just three different numbers separate them into three groups of equivalent fraction, by changing each one to its simplest form.
Ans:
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
8). Find answers to the following. Write and indicate how you solved them
a) Is 5/9 equal to 4/5 ?
Ans:
(5×5)/(9×5) = 25/45 and (4×9)/(5×9) = 36/45 [LCM of 9 and 5 is 45]
25/45 ≠ 36/45
5/9 ≠ 4/5
b) Is 9/16 equal to 5/9
Ans. (9×9)/(16×9) = 81/144 and (5×16)/(9×16) = 80/( 144) [LCM of 16 and 9 is 144]
81/144≠ 80/144
9/16 ≠5/9
c) Is 4/5 equal to 16/20
Ans. (4×20)/(5×20) = 80/100 and (16×5)/(20×5) = 80/100 [LCM of 5 and 20 is 100]
80/100 = 80/100
4/5 = 16/20
d) Is 1/15 equal to 4/30 ?
Ans. (1×2)/(15×2) = 2/30 and (4×1)/(30×1) = 4/30 [LCM of 15 and 30 is 30]
2/30 ≠4/30 1/15 ≠ 4/30
9). Ila reads 25 pages of a book containing 100 pages lalita reads 1/2 of the same book who reads less
Ans. Ila reads 25 pages out of 100 pages
i.e. fraction of reading = 25/100 = 1/4
Since 1/4 < 1/2
Therefore Ila reads lesser pages.
10). Rafiq exercised for 3/6 of an hour , while Rohit exercised for 3/4 of an hour. Who exercised for a longer time?
Ans. Rafiq exercises for 3/6 of an hour
Rohit exercised for 3/4 of an hour
Since 3/6 < 3/4
Therefore Rohit exercised for a longer time.
11). 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 were there more fraction of students getting first class?
Ans. 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 hasthe same fraction of students getting first class.