Page 220 - Math_Genius_V1.0_C6_Flipbook

E:\Working\Focus_Learning\Math_Genius-6\Open_Files\10_Chapter_7\Chapter_7
\ 07-Nov-2024 Bharat Arora Proof-8 Reader’s Sign _______________________ Date __________

(c) First we will convert mixed fractions into improper fractions, then convert them
into like fractions and compare.

4 11 11 3 33 6 48
×
1 = = = and 2 = (Q LCM of 7 and 21 is 21)
×
7 7 73 21 21 21
On comparing numerators of both the fractions, we get 33 < 48 or 48 > 33.

48 33 6 4
∴ > ⇒ 2 > 1 .
21 21 21 7

2 3 1 5
Example 13: Arrange the fractions , , and in ascending order.
3 4 2 6

Solution: All the fractions are unlike fractions, so we will convert them into like fractions by
taking LCM of denominators.
Q LCM of 3, 4, 2 and 6 is 12.

2 24 8 3 33 9 1 16 6 5 52 10
×
×
×
×
∴ = = ; = = ; = = and = =
×
×
×
×
3 34 12 4 43 12 2 26 12 6 62 1 12
Clearly, 6 < 8 < 9 < 10
6 8 9 10 1 2 3 5
∴ < < < ⇒ < < < .
12 12 12 12 2 3 4 6
Practice Time 7D
1. Compare the fractions:

9 19 1 1 2 4
(a) (b) (c)
29 29 4 9 3 5

3 18 13 4 5 7
(d) (e) (f)
4 19 4 13 42 30
2. Find which fraction is larger:

5 2 3 5 5 3
(a) or (b) or (c) 2 or 3
9 7 8 3 6 4
3. Write the following fractions in ascending order.

7 3 13 5 9 9 9 9 3 1 13 12
(a) ,, , (b) , , , (c) ,, ,
8 8 8 8 4 17 5 7 8 7 23 63
4. Write the following fractions in descending order.

2 2 2 2 2 5 8 3 6 7 4 3
(a) , , , (b) , , , (c) ,, and
7 30 15 9 7 21 49 42 7 8 5 4
5. Soumya is a professor in a university, she had to go to Haryana for a 2-day lecture. On the first day,
she delivered a lecture for three-fifths of the time. On the second day, she delivered a lecture for
seven-eighths of the time. So, on which day did she give a longer lecture?

Mathematics-6 218