Question

What is 2/3 of 3/4 of 6? = a. 3 b. 4 c. 12 d. 8

Answer 1

'of' means 'times' in this kind of problem, so:

2/3 * 3/4 * 6

The 6 can be thought of as 'over 1' like this:

2/3 * 3/4 * 6/1

There's a 3 inside the 2/3 on the bottom and inside the 3/4 on the top, so we can cancel like this:

2/1 * 1/4 * 6/1

There's a 2 inside the 4 and a 2 inside the 6, so we can cancel like this:

2/1 * 1/2 * 3/1

There's a 2 inside the 2/1 and a 2 inside the 1/2, so we can cancel like this:

1/1 * 1/1 * 3/1

There's nothing left to cancel, so we can just mutliply the tops together and then multiply the bottoms together like this:

(1 * 1 * 3) / (1 * 1 * 1) = 3/1 = 3

Answer:  A