Easy Way to Simplify Fractions

Introduction:

   These articles we are discuss about simplify fractions in easy way. A fraction is a number that can represent part of a whole. The earliest fractions were reciprocals of integers: ancient symbols representing one part of two, one part of three, one part of four, and so on. A much later development were the common or "vulgar" fractions which are still used today (`1/2` , `5/8` , `3/4` etc.) and which consist of a numerator and a denominator. (Source – Wikipedia)

Easy way to simplify fractions solves the simple addition fraction, multiplication fraction and subtraction fraction.

Easy Way to Simplify Fractions-example Problems:

Example 1:

Add the fractions for given two fraction, `2/5` + `1/5`

Solution:

The given two fractions are `2/5` + `1/5`

The same denominators of the two fractions, so

                                         = `2/5` + `1/5`

Add the numerators the 2 and 1 = 2+1 = 3.

The same denominator is 5.

                                         = `3/5`

The addition fraction solution is `3/5` .

Example 2:

Subtract the fractions for given two fraction `4/6` - `3/3`

Solution:

The denominator is different so we take a (lcd) least common denominator

LCD = 6 x 3 = 18

So multiply and divide by 3 in first term we get

                                                           `(4 xx 3) / (6 xx 3)`

                                                         =`12/18`

Multiply and divide by 6 in second terms

                                                        = `(3 xx 6) / (3 xx 6)`

                                                       = `18/18`

The denominators are equals

So subtracting the numerator directly = `(12-18)/18`

Simplify the above equation we get = `-6/18`

Therefore the final answer is `-1/3`

Example 3:

Multiply the fractions for given two fraction, `4/6` x `5/6`

Solution:

The given two fractions are `4/6 ` x `5/6`

The same denominators of the two fractions, so

                                         = `4/6` x `5/6`

Multiply the numerators the 4 and 5 = 4 x 5 = 20.

Multiply the denominators the 6 and 6 = 6 x 6= 36

                                         =` 20/36`

The multiply fraction solution is `5/9`

Example 4:

Dividing fraction:

`5/7 ` divides `2/4`

Solution:

First we have to take the reciprocal of the second number

Reciprocal of `2/4` = `4/2`

Now we multiply with first term we get

`5/7` x `4/2`

Multiply the numerator and denominator

`(5 xx 4) / (7 xx 2)`

Simplify the above equation we get

= `20/14`

Therefore the final answer is `10/7`


Easy Way to Simplify Fractions-practice Problems:

Problem 1: Add the two fraction `3/9` + `2/9`

Solution: `5/9`

Problem 2: Subtract two fractions `10/9` – `6/9`

Solution: `4/9`

Problem 3: multiply two fractions `6/5` x `6/6`

Solution: `6/5`

Problem 4: Dividing two fractions `5/6` and `2/4`

Solution:` 5/3`