Question

Solve for k. k/4 + 3 = 14 k =

Answer 1

Answer:

k = 44

Step-by-step explanation:

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

k/4 + 3 - (14) = 0

                  k

Simplify   —

                  4

   k          

 (— +  3) -  14  = 0

   4

Adding a whole to a fraction

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

           3           3 • 4

   3 =  —  =  —————

           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 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:

       k + 3 • 4                    k + 12

—————————  =  ——————

            4                              4

       (k + 12)    

 ———————— -  14  = 0

            4

Subtracting a whole from a fraction

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

             14           14 • 4

   14 =  ——  =  ——————

              1                4

Adding up the two equivalent fractions

   (k + 12) - (14 • 4)              k - 44

——————————  =  ——————

             4                               4

      k - 44

 ——————  = 0

         4

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:

   k - 44

 ———— • 4 = 0 • 4

      4  

Now, on the left hand side, the  4  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  k - 44  = 0

Solve  :    k - 44 = 0

Add  44  to both sides of the equation :

                     k = 44

Answer 2

Answer:

The answer is k = 44.

Step-by-step explanation:

1) Subtract 3 from both sides.

$\frac{k}{4} = 14 - 3$

2) Simplify 14 - 3 to 11.

$\frac{k}{4} = 11$

3) Multiply both sides by 4.

$k = 11 \times 4$

4) Simplify 11 × 4 to 44.

$k = 44$

Therefor, the answer is k = 44.