Class 8 – Chapter 5 – Fractions - Exercise 5A
1. Express each of the following as an improper fractions:
14
9×15+14
149
i. 9 =
=
15
5
ii.
17 =
iii.
13
iv.
3
6
11
26
41
51
15
17×6+5
=
=
15
107
=
6
6
13×26+11
349
26
3×51+41
51
=
=
26
194
51
2. Express each of the following as a mixed number:
135
5
a.
=5
26
b.
c.
d.
148
35
620
17
26
=4
96
135
130
5
5
35
148
140
8
4
17
620
612
8
36
96
1075
1056
19
11
8
35
= 36
1075
26
8
17
= 11
19
96
3. Write five fractions equivalent to each of the following fractions:
4
8
12
16
20
24
i.
=
=
=
= =
ii.
7
14
21
28
128
256
384
35
512
192
768
=
384
=
576
=
=
42
640
960
=
768
1152
4. Convert the unlike fractions into like fractions:
3 5 7 13
i.
, , ,
4 8 12 24
1
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Answer: L.C.M of 4, 8, 12, 24 = 24. Therefore the fractions can be written as
18 15 14 13
following like fractions , , ,
24 24 24 24
ii.
1 4
, ,
7
,
11
3 5 10 15
Answer: L.C.M of 3, 5, 10, 15 = 30. Therefore the fractions can be written as
10 24 21 22
following like fractions , , ,
30 30 30 30
5. Reduce each of the following into simplest form:
153
3×3×17
9
a.
=
=
221
b.
c.
115
138
87
116
17×13
=
=
5×23
2×3×23
3×29
4×29
13
=
=
3
3
17
153
51
17
1
17
13
221
13
1
5
115
23
2
3
138
69
23
3
87
29
4
116
29
5
6
3
4
6. Compare the given fractions
13
20
a.
𝑎𝑛𝑑
14
21
Answer: L.C.M of 14 and 21 = 42
Therefore the fractions can be written as
Hence
b.
9
16
13
14
𝑎𝑛𝑑
<
13
14
=
39
42
𝑎𝑛𝑑
20
21
=
40
42
20
21
21
40
Answer: L.C.M of 16 and 40 = 80
Therefore the fractions can be written as
9
16
=
45
80
𝑎𝑛𝑑
21
40
=
42
80
2
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9
21
>
16
40
c.
16
𝑎𝑛𝑑
19
20
23
Answer: L.C.M of 19 and 23 = 437
Therefore the fractions can be written as
16
19
=
368
𝑎𝑛𝑑
437
20
23
=
380
437
16
20
<
19
23
d.
10
𝑎𝑛𝑑
11
18
19
Answer: L.C.M of 11 and 19 = 209
Therefore the fractions can be written as
10
11
=
190
𝑎𝑛𝑑
209
18
19
=
198
209
10
18
<
11
19
7. Write the following fractions in ascending order of magnitude by making denominators
equal.
5 7 11 13
a. , , ,
6 9 12 18
Answer: L.C.M of 6, 9, 12, 18 = 36
5
30 7
28 11
6
36 9
36 12
Hence the fractions can be written as =
Hence the ascending order is
b.
13
18
7
<
9
, =
5
<
<
6
,
=
33 13
,
36 18
=
26
36
11
12
10 13 26 29
,
,
,
21 28 35 42
Answer: L.C.M of 21, 28, 35, 42 = 420
Hence the fractions can be written as
Hence the ascending order is
13
28
10
21
10
<
21
=
<
200
420
29
42
,
<
13
28
=
195
420
,
26
35
=
312
420
,
29
42
=
290
420
26
35
8. Arrange the following fractions in descending order of Magnitude by making the
denominators same.
7 13 17 21 31
a.
, , , ,
10 15 20 25 50
Answer: L.C.M of 10, 15, 20, 25 and 50 = 300
3
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Hence the fractions can be written as:
7
210
=
10
13
,
300
15
=
260
300
17
,
20
255
=
300
Hence the descending order is
b.
5
9
,
,
,
13
15
21
25
252 31
=
,
300 50
17
>
20
>
21
25
186
=
>
300
7
10
31
>
50
16 23 29
,
,
7 14 21 28 42
Answer: L.C.M of 7, 14, 21, 28 and 42 = 84
Hence the fractions can be written as:
5
7
=
60
84
9
,
54
=
14
84
,
16
21
=
64
84
23
,
28
Hence the descending order is
69 29
=
23
28
,
84 42
16
>
21
>
=
58
84
5
7
>
29
42
>
9
14
9. Arrange the following fractions in descending order by making their numerators the
same.
9 18 27 36
a.
, , ,
13 25 40 47
Answer: L.C.M of 9, 18, 27 and 36 = 108
Hence the fractions can be written as:
9
13
108
=
156
18
,
25
=
108
150
,
27
40
=
108
160
Hence the descending order is
b.
,
36
47
36
47
>
108
=
141
18
25
>
9
13
>
27
40
10 20 30 40 50
,
,
,
,
17 37 47 53 61
Answer: L.C.M of 10, 20, 30, 40 and 50 = 600
Hence the fractions can be written as:
10
17
=
600
1020
,
20
37
=
600
1110
,
30
47
=
Hence the descending order is
600
940
50
61
,
>
40
53
=
40
53
>
600
795
30
47
,
50
61
>
=
10
17
600
793
>
20
37
4
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10.Insert two fractions between
4
Answer: The fraction between
The fraction between
3
5
2
𝑎𝑛𝑑
Hence the two fractions are
3
3
5
11.Insert two fractions between
19
17
17
8
11
11
=
𝑎𝑛𝑑
7+3
=
6
10
=
3
5
5
8
5
8
11
6
𝑎𝑛𝑑
=
4+2
=
3
5+3
𝑎𝑛𝑑
6
2
3+2
=
11
19
3
𝑎𝑛𝑑
7
8
𝑎𝑛𝑑
Hence the two fractions are
4
𝑎𝑛𝑑
Answer: The fraction between
The fraction between
2
𝑎𝑛𝑑
7
11
6
19+11
17+6
=
=
8+11
11+6
=
19
17
30
23
30
23
5
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