Simplify: -2 1/3 - (-10 1/6)

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21/3-(-101/6)  

Final result :

 143            

 ——— = 23.83333  

  6              

Step by step solution :

Step  1  :

           101

Simplify   ———

            6  

Equation at the end of step  1  :

 21          101

 —— -  (0 -  ———)

 3            6  

Step  2  :

           7

Simplify   —

           1

Equation at the end of step  2  :

      -101

 7 -  ————

       6  

Step  3  :

Rewriting the whole as an Equivalent Fraction :

3.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  6  as the denominator :

         7     7 • 6

    7 =  —  =  —————

         1       6  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

3.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

7 • 6 - (-101)     143

——————————————  =  ———

6

      6             6  

Final result :

 143            

 ——— = 23.83333  

  6          

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