Solve the equation r-5 1/6=10

R=25

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    r/5-6-(-1)=0

                 R

Simplify   —

                 5

   r          

 (— -  6) -  -1  = 0

   5  

 2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  5  as the denominator :

        6     6 • 5

   6 =  —  =  —————

        1       5  

  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:

r - (6 • 5)     r - 30

———————————  =  ——————

     5            5  

 (r - 30)    

 ———————— -  -1  = 0

    5        

 3.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  5  as the denominator :

         -1     -1 • 5

   -1 =  ——  =  ——————

         1        5  

3.2       Adding up the two equivalent fractions

(r-30) - (-1 • 5)     r - 25

—————————————————  =  ——————

        5               5  

r - 25

 ——————  = 0

   5  

4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 r-25

 ———— • 5 = 0 • 5

  5  

Now, on the left hand side, the  5  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  r-25  = 0

4.2      Solve  :    r-25 = 0

Add  25  to both sides of the equation :

                     r = 25

r = 25