Fraction
As we all know that, in any fraction such as X / Y, the dividend ‘X’ is considered as “Numerator” and ‘Y’ is considered as “Denominator” and as an example, if 5/8 is a fraction then 5 is a “Numerator” and 8 is a “Denominator”.
On the other way, if I cut fruit into 6 pieces and I have taken 1 piece from 6 pieces, then it can be written as I have taken 1/6 of the whole part of the fruit.
There are some type of fraction are discussed and mention below –
a) Common Fraction –
The numerator and denominator are integers in a common fraction
4 7 11
-------, --------, -------- are common Or simple fraction.
15 25 70
b) Complex Fraction –
If in a fraction, either denominator or numerator or both the denominator and numerator contains fraction is called complex fraction –
2/3 7/11 13
--------, --------, -------- are some complex fraction
5/7 15 9/17
c) Proper Fraction –
If in any fraction, the numerator is less than denominator then the fraction is called a proper fraction
2 5 11
-------, -------, -------- are some proper fraction
7 12 25
d) Improper Fraction –
If in any fraction, the numerator is greater than denominator then the fraction is called an improper fraction
11 21 47
-------, -------, -------- are some improper fraction.
8 12 31
e) Mixed Fraction -
If in any fraction, an integer together with a proper fraction is called a mixed fraction.
5 7 3
1 ------ , 3 ------ , 2 ------- are called mixed fraction
7 11 5
Mix Fraction can be converted into an improper fraction as follows –
Integral Part X Denominator of the Proper Fraction + Numerator of the Proper fraction
Mixed Fraction = ----------------------------------------------
Denominator
5 1 X 7 + 5 12
1 ------- = -------------- = -------
7 7 7
7 3 X 11 + 7 40
3 ------ = -------------- = --------
11 11 11
3 2 X 5 + 3 13
2 ------- = ------------- = -------
5 5 5
Reminder
Mixed Fraction= Quotient in (Numerator/Denominator) + ---------------
Denominator
If, there are quotient = 4, Reminder = 3, Denominator = 5,
3
then Mix Fraction = 4 + -------
5
3
Mix Fraction = 4 -------
5