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   ——
            12

Equation at the end of step  1  :

  175          7
  ——— ÷ (1 -  ——)
  100         12

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  12  as the denominator :

          1     1 • 12
     1 =  —  =  ——————
          1       12  

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 :

 2.2       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:

 12 - (7)      5
 ————————  =  ——
    12        12

Equation at the end of step  2  :

  175    5
  ——— ÷ ——
  100   12

Step  3  :

            7
 Simplify   —
            4

Equation at the end of step  3  :

  7    5
  — ÷ ——
  4   12

Step  4  :

         7       5
 Divide  —  by  ——
         4      12

 4.1    Dividing fractions

To divide fractions, write the divison as multiplication by the reciprocal of the divisor :

7      5       7     12
—  ÷  ——   =   —  •  ——
4     12       4     5 

Final result :

  21           
  —— = 4.20000 
  5