Page 213 - Ganit Kaushal

Ex 8. Fill in the blanks.

(a) A number representing a part of a ____________ is called a fraction.
(b) A fraction with the denominator greater than the numerator is called a/an ____________ fraction.
(c) Fractions with the same denominator are called ____________ fractions.

5
(d) 13 is a ____________ fraction.
16
(e) The fraction 17 in the simplest form is ____________
51
18 90
(f) and are proper, unlike and ____________ fractions.
135 675
Sol. (a) whole (b) proper (c) like (d) mixed
1
(e) (f) equivalent
3
Ex 9. State whether the given statements are true (T) or false (F).
(a) Fractions with the same numerator are called like fractions.
18
(b) is in its lowest form.
39
15 45
(c) and are equivalent fractions.
39 117 3
(d) The fraction represented by the shaded portion in the given fig. 1 is .
8
5
(e) The fraction represented by the unshaded portion in the given fig. 2 is . Fig. 1 Fig. 2
9
Sol. (a) False [ Like fractions have the same denominator]

(b) False [ HCF (18, 39) = 3 ≠ 1]
5
(c) True [ Both fractions = 13 , which is in its simplest form]
(d) True 4

(e) False [ The fraction represented by the unshaded portion is ]
9
Subjective/Competency Based Questions
Ex 10. It was estimated that because of people switching to Metro trains, about 33000 tonnes of CNG, 3300
tonnes of diesel and 21000 tonnes of petrol were saved by the end of the year 2017. Find the fraction of:

(a) the quantity of diesel saved to the quantity of petrol saved.
(b) the quantity of diesel saved compared to the quantity of CNG saved. [NCERT Exemplar]
3300 33 11
Sol. (a) The required fraction is = [On dividing by 100] = [On dividing by 3]
21000 210 70
3300 33 1
(b) The required fraction is = [On dividing by 100] = [On dividing by 33]
33000 330 10
Ex 11. Convert 2009 paise to rupees and express the result as a mixed fraction. [NCERT Exemplar]
2009 9
Sol. We have 2009 paise = ` = 20
100 100
[ On dividing 2009 by 100, quotient = 20 and remainder = 9]

Fractions 211