Fractions :-
A fraction is a number which represents a part of whole.
A fraction is written as
a /
b where a,b = whole numbers & b ≠ 0 , / =division line
a /
b =
N /
D = Numerator / Denominator
Classification of Fractions :-
Note : here N=numerator, D=denominator
| Type of Fractions | Defination | Example |
| Proper Fraction | A fraction whose N is greater than 0 but less than its D | 7/9, 2/5 |
| Improper Fraction | A fraction whose N >= D | 8/3, 11/6 |
| Mixed Fraction | It consists of two parts, a natural number & a proper fraction. | 3 2/7, 4 9/11 |
| Decimal Fraction | A fraction whose D = 10, 100, 1000 | 4/100, 2/10 |
| Vulgar Fraction | A fraction whose D = number other than 10,100,1000 | 5/11, 12/70 |
| Like Fractions | Two or more fractions having same D. | 3/7, 11/7 |
| Unlike Fractions | two or more fractions having different D. | 2/9, 3/5 |
| Equivalent Fractions | If two or more fractions have same value. | 3/7 = 15/35 |
| Simplest (irreducible) form of a Fraction (Lowest term) | if N & D have no common factor (except 1). | 3/7 is lowest term of 15/35 |
Note :- 1) Every natural number is an improper fraction.
2) Every mixed fraction is written as an improper fraction & vice-a-versa.
Basic Properties of Fractions :-
The value of a fraction does not change, if N & D of a fraction are
1) Multiplied by same ( non-zero ) number
2) Divided by same ( non-zero ) number.
Dividing the N & D by same number is called
cancelling.
Conversion of given fractions to equivalent like fractions :-
1) Find LCM of denominator
2) Multiply each N & D of each fraction by such a number so that D of each fraction is LCM.
Comparison of Fractions :-
1) Convert all fractions into equivalent like fractions.
2) the fraction having the greater N is greater.