Question

The reciprocal of 2/3 is 3/2. If the reciprocal of 4x/5 is 1/20, what is x?

Answer 1

Since 4x/5 is the reciprocal of 1/20, that means that 4x/5 = 20/1, or 20. Using this info, we can form the equation $\frac{4x}{5}=20$ . From there we can solve for x.

Firstly, multiply both sides by 5: $4x=100$

Next, divide both sides by 4 and your answer will be $x=25$