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types of Fractions

1. Like fractions: Fractions having the 2. Unlike fractions: Fractions having
same denominator are called like different denominators are called

fractions. unlike fractions.

2 1 3 3 8 6
Examples: ,, , etc. Examples: , , , etc.
3 3 3 5 11 13

3. Unit fractions: Fractions having 4. Proper fractions: Fractions having a
the numerator as 1 are called unit numerator less than the denominator

fractions. are called proper fractions.

1 1 1 2 1 6
Examples: , , , etc. Examples: , , , etc.
2 5 15 5 5 13

5. improper fractions: Fractions having 6. Mixed fractions: Fractions that are a

a numerator greater than or equal combination of a whole number and

to the denominator are called a proper fraction are called mixed
improper fractions. fractions.

8 5 15 1 3 1
Examples: , , , etc. Examples: 2 , 6 ,5 , etc.
3 5 9 4 7 2

Converting an improper Fraction into a Mixed Fraction

To convert an improper fraction into a mixed fraction, follow these steps:

Step 1. Divide the numerator by the denominator.
Step 2. The quotient becomes the whole number, the remainder becomes the new
numerator, and the denominator remains the same.
18
Example 1. Convert into a mixed fraction.
5

Solution. On dividing 18 by 5, we get:

Quotient = 3, Remainder = 3

Thus, 3 is the whole number, 3 is the numerator, and
5 is the denominator.

18 3
Hence, = 3 .
5 5

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Fractions