What is 1 2 of 1 3 cup?

If you mean 1/2 of 1/3 cup, it would be 1/6 cup. Here is the math, take 1/3 and divide by 2. Here is a trick my algebra teacher taught me in high school since dividing fractions can be difficult and confusing. Take the problem and write it like this:

1

---

3

________

2

---

1

(2 or any plain number always has an understood 1 as a fraction)

Now you mulitiply the bottom number of the second fraction, in this case the 1, with the top number of the first fraction, also the 1. 1X1=1 This is the top number of the final fraction, or the nominator. Now you just multiply the top number of the second fraction, the 2, with the bottom number of the first fraction, the 3. 2X3=6 This number becomes the bottom number of the final fraction, or the denominator. Drawing arrows to the numbers you are multiplying helps too.