7. 12/8 =15/k?

First, we multiply both sides of the equation by 8 to eliminate the fraction:

8 * (12/8) = 8 * (15/k)

On the left side, the 8s cancel out, leaving us with:

12 = 15/k

Next, we multiply both sides by k to isolate it:

12 * k = 15

Now, divide both sides of the equation by 12:

k = 15/12

Simplifying the fraction on the right side, we get:

k = 5/4

So, the value of k that satisfies the equation 12/8 = 15/k is k = 5/4.