How does 1/8 divided by 1/4 equal 1/2?

When you divide a fraction by a fraction, you're really just multiplying by a reciprocal. A reciprocal is the fraction flipped around.

So, 1/8 : 1/4 is the same thing as 1/8 x 4/1

Now, you just multiply. 1 times 4 is 4. 8 times 1 is 8.

1/8 x 4/1=4/8

4/8 simplified is 1/2

So that is how 1/8 : 1/4=1/2