Question

How to rearrange to isolate a in (a(b/c))(d) = f?

a) a = f/(bd/c)
b) a = f/(bc/d)
c) a = f/(cd/b)
d) a = f/(bcd)

Answer 1

To isolate a in the equation (a(b/c))(d) = f, divide both sides by (b/c) and then by d. The expression simplifies to a = f / (bd/c)(option a).

Step-by-step explanation:

To isolate a in the equation (a(b/c))(d) = f, we need to perform the reverse operations that were used to create the equation. Here are the steps:

1. Divide both sides of the equation by (b/c) to eliminate the parentheses. This gives us a * d = f / (b/c).
2. Next, divide both sides of the equation by d to isolate a. This gives us a = f / (b/c) / d.
3. Simplify the expression on the right side of the equation. When dividing fractions, we can multiply by the reciprocal, so a = f / (b/c) / d simplifies to a = f / (bd/c).