Step by Step Adding Fractions

Introduction to step by step adding fractions:

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 (½, ?, ¾, etc.) and which consist of a numerator and a denominator.

(Source: Wikipedia)

Step by Step Adding Fractions:

1. Add the two fractions `20/3` and `22/4`

Solution:

The  two fractions are  `20/3` and `22/4`

Step1:             Add two fraction

=`20/3` +`22/4`

Step2:          There the denominator are different  so we need to take lcm  to preform addition

=`(80+66)/12`

Step3:           By adding 80 and 66 the answer is 146

=`146/12`

Step4:                This can be simplified has

=12.1

2. Add the two fractions `40/4` and `50/5`

Solution:

The  two fractions are `40/4` and `50/5`

Step1:                 Add two fraction

=`40/4` +`50/5`

Step2:     There the denominator is sameso we need to take lcm  to preform addition

=`(200+200)/20`

Step3:       By adding 200 and 200 the answer is 400

=`400/20`

Step4:           This can be simplified has

= 1

3. Add the two fractions `60/5` and `70/6`

Solution:

The  two fractions are `60/5` and` 70/6`

Step1:          Add two fraction

=`60/5` +`70/6`

Step2:   There the denominator is same so we need to take lcm  to preform addition

=`(360+350)/30`

Step3:     By adding 360 and350 the answer is 710

=`710/30`

Step4:        This can be simplified has

= 23.66
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Step by Step Adding Fractions:

4. Add the fractions `5/6` and `25/30`

Solution:

The two fractions are `5/6` and `25/30`

Step1:         The given Two fractions are equivalent fractions

By simplifying `25/30` we get 5/6

Step2:

Now we need to find the sum of `5/6` and `5/6`

= `5/6` +`5/6`

Step3 :            There the denominator are same so add the numerators in the fractions together

=`(5+5)/6`

The sum of 5 and 5 is 10

So `(5+5)/6` can be written as `10/6`

Step4:

This can be reduced further as `5/3`

5. Add the two fractions `80/6` and `90/6`

Solution:

The  two fractions are `80/6` and `90/6`

Step1:             Add two fraction

=`80/6` +`90/6`

Step2:       There the denominator is same so add the numerators in the fractions together

=`(80+90)/6`

Step3:        By adding 80 and 90 the answer is 170

=`170/6`

Step4:          This can be simplified has

= 28.33

6. Add the two fractions `1000/3` and `120/4`

Solution:

The  two fractions are `100/3` and `120/4`

Step1:           Add two fraction

=`100/3` +`120/4`

Step2:     There the denominator is same so we need to take lcm  to preform addition

=`(400+3690)/12`

Step3:      By adding 400 and 360 the answer is 760

=`760/12`

Step4:        This can be simplified has

= 63.33