Joan needs 1 2/3 cups of flour to bake a batch of cookies.How many batches can dge make with 12 cups of flour?

12 / (5/3) = 36/5 = 7 1/5

To determine the number of batches Joan can make with 12 cups of flour, we need to divide the total amount of flour she has by the amount needed for each batch.

First, let's convert 1 2/3 cups to a mixed number:
1 2/3 = (1 * 3 + 2) / 3 = 5 / 3 cups

Now, we can calculate the number of batches:
Number of batches = Total cups of flour / Cups of flour per batch

Number of batches = 12 cups / (5/3 cups per batch)

To divide by a fraction, we can multiply by its reciprocal:
Number of batches = 12 cups * (3/5 cups per batch)

By canceling out the units and simplifying, we get:
Number of batches = 36/5

Therefore, Joan can make 36/5 or 7.2 batches of cookies with 12 cups of flour. However, since we can't have a fraction of a batch, the answer is 7 batches.