19
1) Gathering the data
Tyra -----> 12 2/3 cups of sugar
r (amount of sugar) ------> 1 batch of cookies
12 2/3 ÷ r How many batches
r = 2/3 cups
2) Let's solve this problem by plugging into this expression 12 2/3 ÷ r the value of r
Let's turn this mixed number into an improper fraction, keeping the denominator and multiplying it by the whole number and then add to the numerator.
[tex]12\frac{2}{3}\text{ =}\frac{(3\times12+2)}{3}=\frac{38}{3}[/tex]Now we can divide it:
[tex]\begin{gathered} \frac{38}{3} \\ \frac{\frac{38}{3}}{\frac{2}{3}}=\frac{38}{3}\times\frac{3}{2}=\frac{38}{2}=19 \end{gathered}[/tex]3) Hence, the number of batches Tyra can make is 19