Answer:
k = 44
Step-by-step explanation:
<u>Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :</u>
k/4 + 3 - (14) = 0
k
<u>Simplify</u> —
4
k
(— + 3) - 14 = 0
4
<u>Adding a whole to a fraction</u>
<u />
<u>Rewrite the whole as a fraction using 4 as the denominator :</u>
3 3 • 4
3 = — = —————
1 4
<u>Equivalent fraction: The fraction thus generated looks different but has the same value as the whole</u>
<u />
<u>Common denominator: The equivalent fraction and the other fraction involved in the calculation share the same denominator</u>
<u />
<u>Adding up the two equivalent fractions</u>
<u>Add the two equivalent fractions which now have a common denominator</u>
<u />
<u>Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:</u>
<u />
k + 3 • 4 k + 12
————————— = ——————
4 4
(k + 12)
———————— - 14 = 0
4
<u>Subtracting a whole from a fraction</u>
<u />
<u>Rewrite the whole as a fraction using 4 as the denominator :</u>
14 14 • 4
14 = —— = ——————
1 4
<u>Adding up the two equivalent fractions</u>
(k + 12) - (14 • 4) k - 44
—————————— = ——————
4 4
k - 44
—————— = 0
4
<u>Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.</u>
<u />
<u>Now, to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.</u>
<u>Here's how:</u>
<u></u>
k - 44
———— • 4 = 0 • 4
4
<u>Now, on the left hand side, the 4 cancels out the denominator, while, on the right hand side, zero times anything is still zero.</u>
<u></u>
<u>The equation now takes the shape :</u>
k - 44 = 0
<u>Solve</u> : k - 44 = 0
<u> Add 44 to both sides of the equation : </u>
k = 44