Question

.-Question in comments!-.

Answer 1

we can write this:
\[8\frac{1}{3} = 8 + \frac{1}{3} = \frac{{8 \cdot 3 + 1}}{3} = ...?\]

Answer 2

This is a multiplication problem.
Each cup holds 8 1/3 oz, and there are 7 cups, so you need to multiply 7 by 8 1/3.

\(\large 7 \times 8 \dfrac{1}{3} \)

To multiply a number and a mixed numeral, first, change the mixed numeral into a fraction. That is what @Michele_Laino is doing above. Answer his question and you'll have the mixed numeral written as a fraction. Then you multiply the 7 by it.

Answer 3

On the other hand, you can take advantage of math properties to make the problem easier to do.

\(\large 7 \times 8 \dfrac{1}{3} =\)

\(=\large7 \times \left(8 + \dfrac{1}{3} \right)\)

Now we use the famous distributive property:

\(=\large7 \times 8 + 7 \times \dfrac{1}{3} \)

\(\large = 56 + \dfrac{7}{1} \times \dfrac{1}{3} \)

\(\large =56 + \dfrac{7}{3} \)

\(\large =56 + 2\dfrac{1}{3} \)

\(\large =58\dfrac{1}{3} \)