Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.75" was replaced by "(175/100)".

Step  1  :

            7
 Simplify   —
            4

Equation at the end of step  1  :

   2    7     
  (— +  —) -  176
   2    4     

Step  2  :

            1
 Simplify   —
            1

Equation at the end of step  2  :

        7     
  (1 +  —) -  176
        4     

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Adding a fraction to a whole

Rewrite the whole as a fraction using  4  as the denominator :

          1     1 • 4
     1 =  —  =  —————
          1       4  

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:

 4 + 7     11
 —————  =  ——
   4       4 

Equation at the end of step  3  :

  11    
  —— -  176
  4     

Step  4  :

Rewriting the whole as an Equivalent Fraction :

 4.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  4  as the denominator :

           176     176 • 4
    176 =  ———  =  ———————
            1         4   

Adding fractions that have a common denominator :

 4.2       Adding up the two equivalent fractions

 11 - (176 • 4)     -693
 ——————————————  =  ————
       4             4  

Final result :

  -693              
  ———— = -173.25000 
   4