Page 135 - Start Up Mathematics_6

0 1 5 10
,
,
Example 10: Represent 10 10 10 and 10 on a number line.
Solution:
0 1
0 1 5 10
10 10 10 10
Proper Fractions

Fractions in which the numerator is less than the denominator are called proper fractions. Examples
1 2 6 3
of proper fractions are , , and .
2 5 7 13
Improper Fractions

Fractions in which the numerator is greater than or equal to the denominator are called improper
fractions. In other words, fractions which are not proper are called improper. Examples of improper
11 7 12 15
fractions are , , and .
6 4 5 8
Mixed Fractions

Mixed fractions are combination of a whole number and a proper fraction. Examples of mixed
1 2 1 1
fractions are 1 , 3 , 4 and 7 .
4 5 3 2
Changing an Improper Fraction into a Mixed Fraction
5
Let’s learn how to convert an improper fraction say, into a mixed fraction.
4
5 4 + 1 4 1 1 1
= = + = 1 + = 1
4 4 4 4 4 4
5 1
Pictorial representation of or 1
4 4

4 1 5
+ =
4 4 4

Alternatively, a mixed fraction can be obtained from an improper fraction by dividing the numerator
by the denominator.

Remainder
Mixed fraction = Quotient 1
Divisor
4 5
5 5 1 R –4
Let’s convert into mixed fraction. = 1 , i.e., Q
4 4 4 D 1

Changing a Mixed Fraction into an Improper Fraction

1
Let’s convert a mixed fraction 2 into an improper fraction.
4

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