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

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

Ā

### 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

Ā

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?)

Ā

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?

Ā

What have we discussed?

Ā

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.

Ā

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

Ā

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

on the number line.

Ā

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.

Ā

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.

Ā

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.