Page 75 - ICSE Math 6

Conversion of improper fraction into mixed fraction

To convert an improper fraction into a mixed fraction, divide the numerator by the denominator to
get the quotient and remainder, and then use the formula given below.
Remainder
Improper fraction = Quotient
Denominator
9
Example 10: Convert into a mixed fraction. 2
4 4 9

9 1 –8
Solution: = 2
4 4 1

Conversion of unlike fractions into like fractions

Unlike fractions can be converted into like fractions using the LCM method. To do this, follow the
given steps:

Step 1: Find the LCM of the denominators of the given fractions.
Step 2: Find the quotient by dividing the LCM by the denominator of each fraction.

Step 3: Multiply the numerator and the denominator of each fraction by the corresponding quotient.

5 7
Example 11: Reduce and into like fractions.
7 8
Solution: LCM of 7 and 8 = 56
Denominator
5 5×8
= (56 ÷ 7 = 8)
7 7×8

40 LCM Quotient
=
56
7 7×7
= (56 ÷ 8 = 7)
8 8×7
49
=
56
5 40 7 49
Thus, = and = .
7 56 8 56

EXERCISE 5.1

1. Write a fraction for each of the following.
(a) 12 pencils out of 13 = ________ (b) Three-fourths = ________
(c) One-eighth = ________ (d) 5 colours out of 7 = ________

(e) 11 out of 13 = ________ (f) Two-thirds = ________
2. Separate proper and improper fractions from the following fractions.

3 11 20 5 251 110
,
,
,
,,
4 12 11 9 159 110
59