Question

Solve for k.


$\frac{3}{4}$k + $\frac{3}{8}$k = 12


Enter the answer, as a whole number or as a fraction in simplest form...

Answer 1

First, find common denominators

(3/4)(4/4) = 12/16

(3/8)(2/2) = 6/16

12/16k + 6/16k = 12

Simplify. Combine like terms

18/16k = 12

Isolate the k. Multiply 16/18 to both sides

(18/16)k(16/18) = 12 (16/18)

k = 12(16/18)

Multiply 12 with 16, then divide by 18

12 x 16 = 192

192/18 = 10.67 (rounded)

10.67 = 10 67/100 is your answer

hope this helps

Answer 2

$\dfrac{3}{4}k+\dfrac{3}{8}k=12\\\\ \dfrac{6}{8}k+\dfrac{3}{8}k=12\\\\ \dfrac{9}{8}k=12\\\\ k=\dfrac{32}{3}$