Question

tyra has 12 2/3 cups of sugar. if r is the amount of sugar needed for one batch of cookies, the expression 12 2/3 ÷ r can be used to find

Answer 1

ANSWER

She can make 19 batches of oatmeal.

EXPLANATION

First we can change the mixed number into an improper fraction:

$12\frac{2}{3}=12+\frac{2}{3}=\frac{12\cdot3}{3}+\frac{2}{3}=\frac{36}{3}+\frac{2}{3}=\frac{38}{3}$

In this problem, r = 2/3. The division is:

$12\frac{2}{3}\div r=\frac{38}{3}\div\frac{2}{3}$

Using the KFC rule:

$\frac{38}{3}\div\frac{2}{3}=\frac{38}{3}\times\frac{3}{2}$

Solving we can see that the denominator of the first fraction can be simpliied with the numerator of the second fraction:

$\frac{38}{3}\times\frac{3}{2}=\frac{38}{1}\times\frac{1}{2}=\frac{38}{2}=19$

Tyra can make 19 batches of oatmeal with 12 2/3 cups of sugar.