Page 70 - Maths Skill - 6

68 Maths

(ii) Improper fraction: A fraction whose numerator is greater than the
denominator is called an improper fraction. An improper fraction is

always greater than a whole, e.g., 3 5 9 etc. Improper fraction 4 4
,
,
3
2 3 4 3
can be represented diagrammatically as shown alongside.
(iii) Unit fraction: Fractions with numerator 1 are Fact-o-meter
1 1 1
called unit fractions, e.g., , , etc. 5
4 7 9 � 5 is also called improper fraction because
its numerator is equal to denominator
MIXED FRACTIONS
1 1 1 1
A fraction having an integral part as well as a whole number part is called a mixed fraction. 2 , 5 , 6 , 1 are
2 7 8 6
all mixed fractions (or mixed numbers) as they all contain a whole number part as well as a fractional part.

Whole number part = 2 Whole number part = 5
1 1
In 2 , 1 In 5 ,
2 Fractional part = 7 Fractional part = 1
2 7

CHANGING A MIXED FRACTION INTO AN IMPROPER FRACTION
1
We can change a mixed fraction, say 3 into an improper fraction by following these steps:
4
1
Step 1: Separate the whole number part from the fractional part using the ‘+’ sign. 3 1
3
4 4
1
3 is same as + 1
3
4 4
Step 2: Multiply and divide the whole number part by the denominator of the fractional part.

34 1 12 1
4 4 4 4
12 1 13
Step 3: Add the two fractions. You will get an equivalent improper fraction.
4 4 4
13 is the required improper fraction.
4

CHANGING AN IMPROPER FRACTION INTO A MIXED FRACTION

17
We can change an improper fraction say into a mixed fraction by following these steps.
5
Step 1: Divide the numerator of the given improper fraction by its
denominator. 3 Quotient
Divisor 5 17
Step 2: Write the quotient, remainder and divisor in the following form: – 15
2 Remainder
Remainder 2
Mixed number = Quotient = 3
Divisor 5