Question

Solve 2/3=1/4k
The solution is k=

Answer 1

To solve 2/3 = 1/4k, multiply both sides by 4 to get 8/3 = k, resulting in the solution k = 8/3.

Step-by-step explanation:

The student is asked to solve the equation 2/3 = 1/4k. To find the value of k, we need to isolate k on one side of the equation. Here are the steps to solve for k:

1. Multiply both sides of the equation by 4 to get rid of the fraction on the right side. This gives us 4*(2/3) = k.
2. Simplify the left side of the equation, which results in (8/3) = k.
3. Lastly, to express k as a fraction, we can write k = 8/3.

Therefore, the solution to the equation 2/3 = 1/4k is k = 8/3.

Answer 2

To find k, divide both sides by 1/4

K = 2/3 / 1/4

When dividing by a fraction flip the second fraction over then multiply:

K = 2/3 x 4/1 = (2 x 4) / (3 x 1) = 8/3

K = 8/3 = 2 and 2/3