5/8 ÷ 15/16 =

A. 5/12***
B. 3/4
C. 3/2
D. 2/3

Is this right? Please help!

5/8 = 10/16

10/16 + 15/16 = 25/16

Do you have a typo somewhere?

No I don't have any typos. Why?

This is a division problem

5/8 ÷ 15/16 = 5/8 * 16/15 = 80/120 = 2/3

How did you get 5/12 ??

I don't remember I threw out the page that had my work on it

But thank you for the help now I understand and know what to do the next time a problem like this comes up.

To divide fractions, you can multiply the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction a/b is b/a.

So, to divide 5/8 by 15/16, we need to multiply 5/8 by the reciprocal of 15/16, which is 16/15.

Now, let's multiply the fractions:
5/8 * 16/15

To multiply fractions, multiply the numerators (top numbers) together, and multiply the denominators (bottom numbers) together. This gives us:
(5 * 16) / (8 * 15)

Now, let's simplify the expression:
80 / 120

Since both 80 and 120 are divisible by 40, we can divide both the numerator and denominator by 40:
80 ÷ 40 / 120 ÷ 40
2/3

So, the answer is 2/3.

Therefore, the correct option is D. 2/3.