Solution - Reducing fractions to their lowest terms

Step  1  :

             9
 Simplify   ——
            16

Equation at the end of step  1  :

         9           9
  (1 -  ——) ÷ (1 +  ——)
        16          16

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Adding a fraction to a whole

Rewrite the whole as a fraction using  16  as the denominator :

          1     1 • 16
     1 =  —  =  ——————
          1       16  

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:

 16 + 9     25
 ——————  =  ——
   16       16

Equation at the end of step  2  :

         9    25
  (1 -  ——) ÷ ——
        16    16

Step  3  :

             9
 Simplify   ——
            16

Equation at the end of step  3  :

         9    25
  (1 -  ——) ÷ ——
        16    16

Step  4  :

Rewriting the whole as an Equivalent Fraction :

 4.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  16  as the denominator :

          1     1 • 16
     1 =  —  =  ——————
          1       16  

Adding fractions that have a common denominator :

 4.2       Adding up the two equivalent fractions

 16 - (9)      7
 ————————  =  ——
    16        16

Equation at the end of step  4  :

   7   25
  —— ÷ ——
  16   16

Step  5  :

          7      25
 Divide  ——  by  ——
         16      16

 5.1    Dividing fractions

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

 7     25        7     16
——  ÷  ——   =   ——  •  ——
16     16       16     25

Final result :

   7           
  —— = 0.28000 
  25