Solve for k. (3)/(4)k + (3)/(8)k = 12 Enter the answer, as a whole number or as a fraction in simplest form...

Question

Solve for k.


`(3)/(4)`k +
`(3)/(8)`k = 12


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

Answer 1

`(3)/(4)k+(3)/(8)k=12\\\\ (6)/(8)k+(3)/(8)k=12\\\\ (9)/(8)k=12\\\\ k=(32)/(3)`

Answer 2

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