# NCERT Solutions For Class 6 Maths Chapter 7 Exercise 7.2

## Ncert Solutions for Class 6 Maths Chapter 7 Fractions Exercise 7.2:-

Exercise 7.2 Class 6 maths NCERT solutions Chapter 7 Basic Geometrical Ideas pdf download:-

### Ncert Solution for Class 6 Maths Chapter 7 Fractions Exercise 7.2 Textbook Solutions:-

Fraction on the Number Line
You have learnt to show whole numbers like 0,1,2… on a number line.
We can also show fractions on a number line. Let us draw a number line
and try to mark
1/2 on it?
We know that
1/2 is greater than 0 and less than 1, so it should lie between
0 and 1.
Since we have to show
1/2, we divide the gap between 0 and 1 into two
equal parts and show 1 part as
1/2

Proper Fractions
You have now learnt how to locate fractions on a number line. Locate the fractions
3/4,1/2,9/10,0/3,5/8 on separate number lines.
Does any one of the fractions lie beyond 1?
All these fractions lie to the left of 1as they are less than 1.
In fact, all the fractions we have learnt so far are less than 1. These are
proper fractions. A proper fraction as Farida said , is a number
representing part of a whole. In a proper fraction, the denominator shows the
number of parts into which the whole is divided and the numerator shows the
number of parts which have been considered. Therefore, in a proper fraction the
numerator is always less than the denominator.
Try These-
1. Give a proper fraction :
(a) whose numerator is 5 and denominator is 7.
(b) whose denominator is 9 and numerator is 5.
(c) whose numerator and denominator add up to 10. How many fractions
of this kind can you make?
(d) whose denominator is 4 more than the numerator.
(Give any five. How many more can you make?)

2. A fraction is given.
How will you decide, by just looking at it, whether, the fraction is
(a) less than 1?
(b) equal to 1?

What have we discussed?

1. (a) A fraction is a number representing a part of a whole. The whole may be a single
object or a group of objects.
(b) When expressing a situation of counting parts to write a fraction, it must be ensured
that all parts are equal.

2. In5/7, 5 is called the numerator and 7 is called the denominator.

3. Fractions can be shown on a number line. Every fraction has a point associated with it
on the number line.

4. In a proper fraction, the numerator is less than the denominator. The fractions, where
the numerator is greater than the denominator are called improper fractions. An improper
fraction can be written as a combination of a whole and a part, and such fraction then
called mixed fractions.

5. Each proper or improper fraction has many equivalent fractions. To find an equivalent
fraction of a given fraction, we may multiply or divide both the numerator and the
denominator of the given fraction by the same number.

6. A fraction is said to be in the simplest (or lowest) form if its numerator and the denomi-
nator have no common factor except 1.