Question

If I cut 2/3 of a pie and put the big piece on my plate. Then eat 1/4 of the piece. What fraction of the original pie did I eat.

Answer 1

2/3 = 8/12 (GCD of 3 and 4 is 12. 3 * 4 = 12, 2 * 4 = 8)

1/4 = 3/12 (4 * 3 = 12, 1 * 3 = 3)

8/12 - 3/12 = 5/12

You ate 5/12 of the pie

I'm not sure if this really helps anyone that reads it, but that's how I was taught. You can correct me if I'm wrong.

P.S. I know I'm late for it

Answer 2

If you took $\frac{2}{3}$ of a pie then only ate $\frac{1}{4}$ of that slice, you ate $\frac{1}{4}$ of $\frac{2}{3}$.

$\frac{2}{3} * \frac{1}{4} = \frac{2}{12}$

Simplify.

$\frac{2}{12} = \frac{1}{6}$

So, you ate 1/6 of the pie.