Tuesday, October 2, 2012

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, ⅝, ¾, etc.) and which consist of a numerator and a denominator.

                                                                                                                                                 

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

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

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