Page 70 - Revised Maths Wisdom Class - 6

68 MATHS

3
For example, can be represented on a number line as shown below:
7
O A

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14
7 7 7 7 7 7 7 7 7 7 7 7 7 7
3
Here, A represents .
7
Types of Fractions

The fractions can be classified as below:

Fraction

Proper Fraction Improper Fraction Mixed Fraction

When numerator When numerator When a whole Remember!er!
Rememb
is less than is greater than number and proper 5
denominator denominator fraction are written › 5 is also called improper

1
3
5
e.g., . e.g., . together e.g., 3 . fraction because its numerator
7 3 5 is equal to denominator.

Unit Fractions
1 1 1
A proper fraction with ‘1’ in the numerator is called a unit fraction. For example, , , are all unit fractions.
7 21 111
Converting Mixed Fraction into Improper Fraction
Any mixed fraction can easily be converted into improper fraction by following these steps:
2
Step 1: Take any mixed fraction say 3 and multiply the whole number by the denominator of fractional part,
i.e., 3 × 5 = 15. 5

Step 2: Add the numerator of the fractional part to the product obtained in step 1, i.e., 2 + 15 = 17.
Step 3: Write the sum obtained in step (2) as numerator of the required fraction and the denominator remains

same, i.e., 17
5

×
Whole number Denominator + Numerator
Mixed Fraction = = Improper fraction
Denomiinator
Converting Improper Fraction into Mixed Fraction

Any improper fraction can easily be converted into mixed fraction by following these steps:
5
Step 1: Take any improper fraction say and divide the numerator by denominator Dividend
3

Divisor 3 5 1 Quotient
3
2 Remainder