Page 216 - Ganit Kaushal

10. State whether the following statements are True (T) or False (F).

(a) In a fraction, the numerator and denominator are of the same kind.
(b) Fractions having the same numerators are called unlike fractions.
(c) Fractions having different denominators are called unlike fractions.
(d) Every fraction has infinite equivalent fractions.
(e) To reduce a fraction to its simplest form, we divide the numerator and denominator by their LCM.

(f) Proper fractions always lie between 0 and 1.
Subjective/Competency Based Questions
11. Add the following fractions using Brahmagupta’s method: (NCERT)
2 4 3 2 2 9 5 9 5 7
(a) + + (b) + (c) + (d) + +
3 5 7 3 7 2 4 3 2 4 6
12. Kiran read 35 pages of a book containing 100 pages. Ritu read of the same book. Who read less?
How many pages did Ritu read? 5
13. Solve the following using Brahmagupta’s method:
2 1 5 1 1 1 1 1 1 5
(a) 4 + 3 (b) − (c) ++ (d) 2 − 3 + 5
3 4 6 3 2 3 6 2 4 6
2 3 1 3 1 1 3 2 13 5 11
(e) + + (f) 1 + 2 − 1 (g) + − (h) 3−+
3 4 2 4 2 5 5 7 35 6 12
1
3
1
1
(i) 1 + 2 − 3 (j) 43 − 7 (k) 1− 1 − 1 (l) 2 −+ 1
25
+
4 2 7 4 4 9 3 7
7 1
14. Jaya’s school is 10 km from her home. She takes an auto for 2 km from her home daily, and then
walks the remaining distance to reach her school. How much does she walk daily to reach the school?
(NCERT)
15. Complete the addition-subtraction box given alongside.
1 1
2 3
1 1
3 4

16. Carry out the following subtractions using Brahmagupta’s method. (NCERT)
8 3 2 4 5 4 2 1
(a) − (b) − (c) − (d) −
15 15 5 15 6 9 3 2
17. Subtract as indicated:
13 10 18 23 29 45
(a) from (b) from (c) from (NCERT)
4 3 5 3 7 7
6 7 4 3
18. Arrange the fractions ,,, and in descending order.

7 8 5 4
2 3 1 5
19. Arrange the fractions ,,, and in ascending order.
3 4 2 6
3 1
20. Nazima gave 2 litres out of 5 litres of juice to her friends. How many litres of juice is left with
her? 4 2

214 Mathematics-6