Page 73 - Maths Class 05

9
Improper Fraction : What is : 1 + = ?
4

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It is : + =
4 4 4
But, for everyday use, people understand mixed fractions better.

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For example : It is easier to say “I ate 2 sausages”, than “I ate sausages”.
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Finding Equivalent Fractions

1 2 4
The fractions and are equivalent fractions. If we observe carefully, we can see
,
2 4 8
1 2
that if we multiply the numerator and denominator of by 2, we can get . Also, if we
2 4
4 2
divide the numerator and denominator of by 2, we can get . So, we have to follow
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these methods of finding equivalent fractions of a given fraction.

F To find an equivalent fraction, multiply the numerator and denominator of the

fraction by the same non-zero number.

F To find an equivalent fraction, divide the numerator and denominator of the

fraction by the same non-zero number which is a factor of both.

In order to get more than one equivalent fraction for a given fraction, we can build
equivalent fractions through multiples. To do so, we find the required number of

multiples of the numerator and denominator and arrange them as fractions.

2
Example : Find an equivalent fraction of .
3

2
Solution : We multiply the numerator and denominator of by 2.
3
2 × 2 4
=
3 × 2 6

4 2
Hence, is an equivalent fraction of .
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2
Example : Find equivalent fraction of till the fourth place.
3

Solution : We first find the multiples of the numerator till the fourth place. So, we

have 2, 4, 6 and 8.

Mathematics-5 73