Question

2/5k + 1/6 = 3/10k + 1/3

Answer 1

k=5/3

Explanation:

2/5k+1/6=3/10k+1/3

Move the 3/10k to the left side with subtraction

1/10k+1/6=1/3

Move the 1/6 to the right with subtraction

1/10k=1/6

Divide the 1/10 from each side

Getting K=5/3

Answer 2

Answer: k = 5/3

Explanation:

To solve, we will isolate the variable, k, by using inverse operations.

Given:

2/5k + 1/6 = 3/10k + 1/3

Subtract 1/6 from both sides of the equation:

2/5k = 3/10k + 1/6

Subtract 3/10k from both sides of the equation:

1/10k = 1/6

Divide both sides of the equation by (1/10), which is the same as multiplying both sides by 10:

k = 5/3