Page 83 - Math Genius C5

E:\Working\Orange_Education\Math_Genius_5\Open_Files\CHAP_04
\ 08-Oct-2025 Bharat Arora Proof-9 Reader’s Sign _______________________ Date __________

3. Unit fractions: Fractions having numerator as 1 are called unit fractions.
1 1
Example: , and 1 , etc.
3 5 18
4. Like fractions: Fractions having the same denominator are called like fractions.
8
2 6
Example: , and , etc.
7 7 7
5. Unlike fractions: Fractions having different denominators Knowledge Desk
are called unlike fractions. Whole numbers are
2 4
Example: , and 3 , etc. numbers that do not
5 7 11 have fractions or
6. Mixed fractions: Fractions that are a combination of a decimals. They include
whole number and a proper fraction are called mixed all counting numbers like
fractions. 1, 2, 3, … and 0.
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 numerator and the denominator will remain the same.

Example 1: Convert the following improper fractions to mixed fractions.
12 38 34
( a) ( b) ( c)
5 7 11
Solution: (a) Divide the numerator 12 by the denominator 5.
2
5 12 Here, quotient = 2 and remainder = 2.
10
2
2
Therefore, the required mixed fraction = 2 .
5
( b) Divide the numerator 38 by the denominator 7.
5
7 38 Here, quotient = 5 and remainder = 3.
35
3
3
Therefore, the required mixed fraction = 5 .
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

Mathematics-5 81