## Ncert Solutions for Class 6 Maths Chapter 7 Fractions Exercise 7.3:-

**Exercise 7.3**Ā Class 6 maths NCERT solutions Chapter 7 Basic Geometrical Ideas pdf download:-

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### Ncert Solution for Class 6 Maths Chapter 7 Fractions Exercise 7.3 Tips:-

Simplest Form of a Fraction

Given the fraction

36

54, let us try to get an equivalent fraction in which the

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the numerator and the denominator have no common factor except 1.

How do we do it? We see that both 36 and 54 are divisible by 2.

Ā and 27 also have common factors other than one.

The common factors are 1, 3, 9; the highest is 9.

Therefore, 18

Now 2 and 3 have no common factor except 1; we say that the fraction

is in the simplest form.

A fraction is said to be in the simplest (or lowest) form if its numerator

and denominator has no common factor except 1.

The shortest way

The shortest way to find the

the equivalent fraction in the

the simplest form is to find the

HCF of the numerator and

the denominator, and then divide

both of them by the HCF.

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A Game

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The equivalent fractions given here are quite

interesting. Each one of them uses all the digits

from 1 to 9 once!

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Try to find two more such equivalent fractions.

The HCF of 36 and 24 is 12.

Therefore, 36

24 = 36 12

Ā Thefraction 3

2 is in the lowest form.

Thus, HCF helps us to reduce a fraction to

its lowest form.

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Like Fractions

Fractions with same denominators are called like fractions.

Thus, 1

15 , , , are all like fractions. Are 7

28 like fractions?

Their denominators are different. Therefore, they are not like fractions.

They are called unlike fractions.

Write five pairs of like fractions and five pairs of unlike fractions.

Comparing Fractions

Sohni has 3 1

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2 rotis in her plate and Rita has 2 3

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4 rotis in her plate. Who has

more rotis in her plate? Clearly, Sohni has 3 full rotis and more and Rita has

less than 3 rotis. So, Sohni has more rotis.

Consider 1

2 and 1

3 as shown in Fig. 7.12. The portion of the whole

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corresponding to 1

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2 is clearly larger than the portion of the same whole

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corresponding to 1

3

So 1

2 is greater than 1

3

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But often it is not easy to say which

one out of a pair of fractions is larger. For

example, which is greater, 1

4 or

3

10 ? For

this, we may wish to show the fractions

using figures (as in fig. 7.12), but drawing figures may not be easy especially

with denominators like 13. We should therefore like to have a systematic

procedure to compare fractions. It is particularly easy to compare like fractions.

We do this first.

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Try These

1. You get one-fifth of a bottle of

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juice and your sister gets one-

third of the same size of a bottle

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of juice. Who gets more?