In this post, we can know- Fraction Definition and Examples math, What is a Fraction, numerator, and, denominator, Parts of a Fraction,- simple fraction, feneral fraction, Improper fraction, mixed fraction, Complex fraction, Reciprocal fraction, Decimal fraction continued fraction, addition and substraction of fraction,
What is a fraction
When we read or write a number that is in the form of a number p / q, we call it fraction, where p and q are integers. We can say that the horoscope obtained by dividing one number by another is called fraction. In this, the dividend is written above a line and the dividend is written below the line, the top number ie the factorial is called the numerator and the bottom number i.e. the denominator.Fraction Definition Math
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| Fraction Definition Math |
See if you do not understand the numerator and the denominator, then I have written both separately again.
Numerator- The portion above the line in any fraction is called the numerator.
Denominator- The bottom of the line in any fraction is called the denominator.
- Similarly, there is p/q kind of fraction.
- We can say that is 1 ➗ 2 fraction.
- It is also written as 1/2
- It is also called 1 Share 2
- Share is called Bata (बटा ) in Hindi then
- 1/2 means to divide an item into two equal parts.
Parts of a Fraction
There are following types of fractions but I will tell you seven types of fractions. In which something is different- Simple Fraction, Feneral fraction, Improper Fraction, Mixed fraction, Complex fraction, Reciprocal Fraction, and Reciprocal fraction.1. Simple Fraction
When the numerator and denominator of a fraction are prime, the numerator and denominator of each fraction is only divisible by 1 and not divisible by any number. We call such a fraction a short fraction.Example:- 1 , 2 , 3 .........................
2 5 7
2. Feneral Fraction
If the fraction of the numerator is less than the denominator, it is called a feneral fraction.That is, we take a different 2/3. Now we see that fractions have 2 numerator , and 3 is denominator. We have already talked that the numerator will be smaller than the denominator. So this means that it is feneral fraction.Example:- 1 , 2 , 5 ,.........................
2 3 7
3. Improper Fraction
When the fraction of a fraction is greater than or equal to the denominator, then the improper fraction is called.Example:- 2 , 3 , 19,.........................
1 1 19
4. Mixed Fraction
When integers form a fraction consisting of both integers and fractions, we call it a mixed fraction.1
Suppose we take a fraction 2 --- Now 2 is our integer number and 1/2 is our fraction.
3
When we write the two together that which becomes a fraction, we call it a mixed fraction.
5 3 19
Example:-
1 5
2 --- , 3 --- , .........................3 4
5. Complex Fraction
A fraction in which the numerator is fraction and denominator is fraction , we call it a complex fraction.1 2 5
2 3 7
Example:- ⎯⎯ , ⎯⎯⎯, ⎯⎯ ..................
5 4 6
2 3 7
6. Reciprocal Fraction
If the numerator and denominator of the fraction are interchanged.So we call this change only, reciprocal fraction. Suppose we took a fraction 7/8 when we want to write it in reciprocal fraction, then we write it 8/7Example:- 1 , 2 , 3 .........................
2 5 7
↓
Writing the reciprocal fraction of these fractions
1 , 2 , 3 ← fraction
2 5 7
↓ ↓ ↓ ← changed
2 , 5 , 7
1 2 3 ← Reciprocal Fraction
7. Reciprocal fraction.
A fraction that changes from p / q to a simple number is called reciprocal fraction.Example:- 20 , 10 , 8 .........................
2 5 2
If we take a fraction 20/2, then dividing by 2, we get 10 simple numbers, the same is called reciprocal fraction.
8. Decimal fraction
Fractions that have every 10, 10 power 8, 10 power 5 etc., we call it a decimal fraction.Example:- 20 , 10 ,.........................
10 100
9. Continued fraction
The fraction written as follows is called Continued Fraction.2
Example:- 2+
2
4+
8
6+
9
Addition & Substaction of fraction
8 9 7
Example:- - +
5 6 2
- First of all, we take out the lcm of the denominator and write it as a correct number in the denominator.
Lcm of 5, 4 and 2 = 30
- Then after that divide each number into the new denominator.
- Then multiply the number of denominators of the denominator by the numerator of the same number.
= 8 x 6 - 9 x 5 + 15 x 7
30
- Then multiply the numerator later
= 48 - 45 + 105
30
- Now do the signs ( + and - ) between the numerator.
30
- Found desired answer will be fraction.
30
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Fraction Definition Math LCM & HCF