Computing Fractions

Introduction:
          The whole part is divided in to different parts. Each parts is called fraction of the whole thing. The fraction is shown as a/b, where a is referred as numerator and b is referred as denominator. Those denominator and numerators are involed in fraction. Fractions are differentiated by their values of numerator and denominator. They are computed and described below.
The example of fraction is `2/6`

Common Factor for Computing Fractions:

This common factor is used for solving and reducing fractions:

Example:

16 =4*4

20 =4*5

       Take all common numbers.

       The product of common numbers and remaining numbers is called common factor.

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Description for Computing Fractions with Examples:

Computing fractions for addition:

Example: `2/5` + `3/5`

Here denominators are same.

So numerators are added  `(2 + 3)/5` .

Therefore the resultant fraction is `5/5`

The result for the addtion fraction is 1

Example: `2/5 ` + `3/4`

Here denominators are different. So we have to find least common divisor.

The lease common divisor for 4 and 5 is 20.

In `2/ 5` , the denominator 5 is 4 times in the least common divisor.

So we have to multiply the numeratory 2 by 4. 2 * 4 = 8.

In `3/4,` the donminator 4 is 5 times in the least common divisor. so we have to multiply the numerator 3 by 4. 3 * 5 = 15

Now, we can add the denominator. so we will get `(8 +15)/20` = `23/20` 

Computing fractions for subtraction: `8/5 - 3/5`

Here denominators are same. So we are doing like below.

Numerators are subtracted. `(8 - 3)/5` .

So we get `5/5` =1

Example: `2/5 - 3/4`

Here denominators are different. So we have to find least common divisor.

The lease common divisor for 4 and 5 is 20.

In `2/ 5` , the denominator 5 is 4 times in the least common divisor.

So we have to multiply the numeratory 2 by 4. 2 * 4 = 8.

In `3/4` , the donminator 4 is 5 times in the least common divisor.

So we have to multiply the numerator 3 by 4. 3 * 5 = 15

Now, we can subtract the denominator. so we will get `(8 -15)/20 = -7/20`

Computing fractions for multiplication:

`3/5 xx 5/7`

Here 3 and 5 are numerators and  5 and 7 are denominators

Multiplying the numerator by numerator:

3 * 5 = 15

Multiplying the denominator by deminator

5 * 7 = 35

Therefore the fraction is  `15/35`

therefore the result for the multiplication fractorion is `3/7` 

Is this topic how to simplify algebraic fractions  hard for you? Watch out for my coming posts.

Computing fractions for division:

`2/5-:3/5`

Firest we have to find  reciprocal for the second fraction is 5/3.

Then we have to multiply this reciprocal with dividend fraction like below

`2/5 xx 5/3`

So we will get `10/15` .

Therefore the result is `2/3`