Of the coins in my collection, 13/25 are quarters. Of these quarters 2/3 are state quarters. What fraction of my coins are state quarters?

I think I need to divide 13/25 by 2/3 and my answer will be 39/50. Is this correct. Thank you for your help.

That can't be. About half of your coins are quarters. Yet you say that almost three-fourths of your coins are state quarters. No way!

Try this and see if you get a more reasonable answer.

(13/25) * (2/3) = ?

Yes, you are correct. To find the fraction of your coins that are state quarters, you can divide the fraction of quarters that are state quarters by the fraction of all coins that are quarters.

To do this, you would divide 2/3 by 13/25:
(2/3) ÷ (13/25)

When you divide fractions, you can multiply the first fraction by the reciprocal of the second fraction:
(2/3) × (25/13)

Multiplying the numerator and denominator, you get:
(2 × 25) / (3 × 13) = 50/39

Therefore, 50/39 of your coins are state quarters.

It's important to note that when dividing fractions, you need to flip the second fraction (the one you're dividing by) and multiply. Remembering this will help you solve similar problems in the future.