We know that the factory uses 3 3/4 per batch, and they used 7 1/2 barrels of raisin yesterday. Firstly, let’s convert our mixed fraction to an improper fraction. 3 3/4 is 15/4 and 7 1/2 is 15/2. I can now change the denominator of 15/2 to match 15/4. This gives me 30/4. This means our fractions are now 15/4 and 30/4. I can then divide 30/4 by 15/4 to give me 2. Therefore, our answer is 2. They created 2 batches yesterday.
(You don’t need common denominators to divide fractions, but it would be easier if I did it this way for this equation.
