Tuesday, June 4, 2013

Substraction of 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                                                                                                                                              
                                                                                                                                                      Source:-Wikipedia

Example problems for substraction fractions :


1. Substraction of  two fractions `14/8` and `10/8`
                Solution:
                               The two given fractions are` 14/8` and` 10/8`
                              We need to find  between two fractions
                                                 = `14/8` -`10/8`
                                                = `(14-10)/8`
                                                =  ` 4/8`
                             This can be reduced further as 0.5 


2. Substraction of  two fractions `20/9` and` 30/9`
                Solution:
                              The two given fractions are` 20/9` and `30/9`
                            We need to find  between two fractions
                                                     =   `20/9` -`30/9`
                                                     =  `(20-30)/9`
                                                   = `-10/9`
                         This can be reduced further as -1.11
 3. Substraction of  two fractions `44/5` and` 60/10`
             Solution:
                             The two given fractions are `44/10` and` 60/10`
                               We need to find between two fractions
                                                       = `(2*44)/10` -`60/10`
                                                     = ` (88-60)/10`
                                                  = ` 12/10`
                                This can be reduced further as -1.6
 4. Substraction of  two fractions `55/11` and `75/11` 
              Solution:
                             The two given fractions are` 55/11` and `75/11`
                             We need to find between two fractions
                                                   =   `55/11` -`75/11`
                                                  = `(55-75)/11`
                                                 = `-20/11`
                             This can be reduced further as -1.81

More Example problems for substraction fractions :


1. Substraction of  two fractions` 70/12` and` 90/12`
        Solution:
                         The two given fractions are `70/12` and `90/12`
                         We need to find  between two fractions
                                                =` 70/12` -`90/12`
                                              =`(70-90)/12`
                                              = `-20/12`
                       This can be reduced further as -1.66
 2. Substraction of  two fractions `30/13` and `60/13`
        Solution:
                       The two given fractions are `30/13` and `60/13`
                        We need to find  between two fractions
                                              =  `30/13` -`60/13`
                                              =` (30-60)/13`
                                              = `-30/13`
                       This can be reduced further as -2.30
 3. Substraction of  two fractions `100/14` and `120/14`
             Solution:
                            The two given fractions are `100/14` and` 120/14`
                            We need to find  between two fractions
                                                          = `100/14` -`120/14`
                                                         =  `(100-120)/14`
                                                         = `-20/14`
                            This can be reduced further as -1.42


 4. Substraction of  two fractions `120/15` and `140/15`
               Solution:
                                The two given fractions are `120/15` and `140/15`
                                We need to find between two fractions
                                                        =  `120/15` -`140/15`
                                                       = ` (120-140)/15`
                                                       = ` -20/15`
                             This can be reduced further as -1.33

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