You need to divide.
We are dividing the mixed numeral 33 1/21 by the mixed numeral 5 1/4.
(33 1/2 ) / (5 1/4) =
The first step is to change the two mixed numerals into improper fractions.
33 1/2 = 67/2, and 5 1/4 = 21/4
= (67/2) / (21/4)
Now we are dividing the fraction 67/2 by the fraction 21/4.
To divide a fraction by a fraction, rewrite the first fraction, change division intro multiplication, and flip the second fraction. To divide 67/2 by 21/4, we multiply 67/2 by 4/21.
= 67/2 * 4/21
To multiply fractions, multiply together the numerators, and multiply together the denominators. 67 * 4 = 268; 2 * 21 = 42
= 268/42
Using a calculator, 268/42 = 6.38095...
You can fill 6 full glasses.