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\ 19-Nov-2025 Bharat Arora Proof-9 Reader’s Sign _______________________ Date __________

 A fraction whose numerator is less than its denominator is called a proper fraction.
 A fraction whose numerator is greater than or equal to its denominator is called an
improper fraction.

 A combination of a whole number and a proper fraction is called a mixed fraction.

 Fractions with the same denominator are called like fractions.
 Fractions having different denominators are called unlike fractions.

 Two or more fractions representing the same value are called equivalent fractions.
 To find equivalent fractions, we multiply or divide the numerator and denominator of

the given fraction by the same non-zero number.
 To add two or more like fractions, we add the numerators of the fractions, keeping the
denominator the same.

 To subtract like fractions, we subtract their numerators, keeping the denominator the
same.

Learning LOGS

1. Convert each of the following into an improper fraction.
3 5 2 5
a. 3 b. 2 c. 6 d. 4
5 7 3 6
2. Convert each of the following into a mixed fraction.

17 23 19 15
a. b. c. d.
8 6 5 7
3. write four equivalent fractions for each of the following:

2 4 5 3
a. b. c. d.
3 7 6 5
4. Fill in the boxes with the correct numerals.

a. 2 = 12 b. 6 = c. 11 = 33
3 13 52 27

102 Mathematics 5