Page 198 - Ganit Kaushal

5. Match the equivalent fractions:

Column I Column II
250 2
(a) (i)
400 3
180 2
(b) (ii)
200 5
660 1
(c) (iii)
990 2
180 5
(d) (iv)
360 8
220 9
(e) (v)
550 10

6. Kanchan dyes dresses. She had to dye 30 dresses. She has finished 20 dresses so far. What fraction of
the dresses has she finished?

7. Write the natural numbers from 102 to 113. What fraction of them are prime numbers?
8. Kristin received a CD player for her birthday. She bought 3 CDs and received 5 others as gifts. What
fraction of her total CDs did she buy, and what fraction did she receive as gifts?
9. Three rotis are shared equally by four children. Show the division in the picture and write a fraction for
how much each child gets. Also, write the corresponding division facts, addition facts, and multiplication
facts. (NCERT)

7.3 TYPES OF FRACTIONS

Proper Fractions

A fraction in which the numerator is smaller than the denominator is called a proper fraction. Proper fractions
are less than 1. On the number line, they always lie between 0 and 1.
5 4
For example: , , 7 , 18 , … etc. are proper fractions.
8 9 13 29

Improper Fractions

A fraction in which the numerator is greater than the denominator is called an improper fraction. Improper
fractions are greater than 1. On the number line, they lie to the right of 1.
5 10 14 19
For example: , , , , … etc. are improper fractions.
3 7 5 4
Mixed Fractions

A mixed fraction is a combination of two parts: (i) a whole number part (ii) a proper fraction part.
2 2
For example: 2 , where 2 is the whole number part and is the proper fraction part. It is read as ‘2 and 2
7 7
by 7 or 2 is to 2 by 7’.
We see that a mixed fraction is made up of two parts– a whole number and a proper fraction, that’s why it is
called a mixed fraction (or mixed number). They are always greater than their whole number part, so they
always lie to the right of their whole number part on the number line.

196 Mathematics-6