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4. Like fractions: Fractions having the same denominators are called like fractions.
2 6
8
Example: , and , etc.
7 7 7
5. Unlike fractions: Fractions having different denominators are called unlike fractions.
2 4
Example: , and 3 , etc.
5 7 11
6. Mixed fractions: Fractions that are a combination of a whole number and a proper
fraction are called mixed fractions.
1
1
3
Example: 2 , 6 and 5 , etc.
2 7 2
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
5 7 11
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.

84 Mathematics-5