Answer:
k = 7/12 or approximately 1.71
Explanation:
We first need to convert both fractions denominators to their LCM (Lowest Common Multiple)
Multiples of 4: 4, 8, 12, 16
Multiples of 3: 3, 6, 9, 12
12 is the LCM
Then we convert both fractions to have a denominator of 12. Remember, whatever you do to the numerator must be done to the denominator.
1/3 x 4/4 = 4/12
1/4 x 3/3 = 3/12
The equation is now: 4/12k + 3/12k = 1
Add up both variables to get: 7/12k = 1
Divide both sides by 7/12: (12/7)7/12k = 1(12/7)
k = 12/7 or approximately 1.71