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4. Like fractions: Fractions having the same denominators are called like fractions.
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2 6
example: , and , etc.
7 7 7
5. Unlike fractions: Fractions having different denominators Knowledge Desk
are called unlike fractions.
2 4
example: , and 3 , etc. Numbers without
fraction or decimal are
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6. Mixed fractions: Fractions that are a combination of a known as whole numbers.
All counting numbers
whole number and a proper fraction are called mixed 1, 2, 3, …including 0
fractions. are examples of whole
1
1
3
example: 2 , 6 and 5 , etc. numbers.
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converting an improper Fraction to a Mixed Fraction

To convert an improper fraction to a mixed fraction, follow these steps:
Step 1: Divide the numerator by the denominator of the fraction.

Step 2: The quotient obtained in step 1 will become the whole number, the remainder will
become the the numerator and the denominator will remain same.
example 1: Convert the following improper fractions to mixed fraction.

(a) 12 (b) 38 (c) 34
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Solution: (a) Divide the numerator 12 by the denominator 5.
2
5 12 Here, quotient = 2 and remainder = 2
10
2
Therefore, the required mixed fraction = 2 2
5
(b) Divide the numerator 38 by the denominator 7.
5
7 38 Here, quotient = 5 and remainder = 3
35
3
Therefore, the required mixed fraction = 5 3
7
(c) Divide the numerator 34 by the denominator 11.

3
11 34 Here, quotient = 3 and remainder = 1
33
1
Therefore, the required mixed fraction = 3 1
11

converting a Mixed Fraction to an improper Fraction

To convert a mixed fraction to an improper fraction, follow these steps:
Step 1: Multiply the whole number by the denominator.

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