Answer:
(a) I'd multiply each side by 6 to isolate the variable
(b) I'd multiply each side by 15 to isolate the variable
(c) I'd multiply each side by 3 to isolate the variable
Explanation:
Whenever you have an equation where there is a fraction and the variable is the numerator while a regular constant (e.g., 2 or 6) is the denominator, you multiply both sides by the denominator to clear the variable.
Let's see how the math works for all three problems:
(a)
(r/6 = 5/6) * 6
(r/6) * 6 = (5/6) * 6
6r/6 = 30/6
1r/1 = 5
r = 5
Checking that r = 5, by plugging in 5 for r:
5/6 = 5/6
(b)
(t/15) = 2/5) * 15
(t/15) * 15 = (2/5) * 15
15t/15 = 30/5
t = 6
Checking that t = 6, by plugging in 6 for t:
6/15 = 2/5
2/5 = 2/5
(c)
(v/3 = 5/6) * 3
(v/3) * 3 = (5/6) * 3
3v/3 = 15/6
v = 5/2
Checking that v = 5/2, by plugging in 5/2 for v:
(5/2) / 3 = 5/6
(5/2) * (1/3) = 5/6
5/6 = 5/6