A bag contains 22 1\2 cups of flour. A recipe for pancakes uses 1 1/4 cups of flour. How many batches of pancakes can be made with one bag of flour?

just divide the available flour by the amount required for each recipe.

If I told you you had 10 cups and needed 2 for a recipe, you wouldn't have trouble finding how many batches you could make, would you?

Same thing here. You just have to know how to deal with fractions:

(22 1/2)/(1 1/4)
= (45/2)/(5/4)
= (45/2)(4/5)
= 45*4 / 2*5
= 9*2
= 18

18 is the answer.

To find out how many batches of pancakes can be made with one bag of flour, divide the total amount of flour in the bag (22 1/2 cups) by the amount of flour needed for each batch (1 1/4 cups).

To make the division easier, convert the mixed numbers to improper fractions:
22 1/2 cups = 45/2 cups
1 1/4 cups = 5/4 cups

Now divide the two fractions:
(45/2) / (5/4)

To divide fractions, multiply the first fraction by the reciprocal of the second fraction:
(45/2) * (4/5) = 45 * 4 / 2 * 5 = 180 / 10 = 18

Therefore, one bag of flour could make 18 batches of pancakes.

To determine how many batches of pancakes can be made with one bag of flour, we need to divide the total amount of flour in the bag by the amount of flour required per batch.

First, let's convert the mixed number 22 1/2 to an improper fraction. Multiply the whole number (22) by the denominator (2) and add the numerator (1):

22 * 2 + 1 = 44 + 1 = 45

So, 22 1/2 cups of flour can be represented as 45/2 cups of flour.

Now, we can divide the total amount of flour in the bag (45/2 cups) by the amount of flour required per batch (1 1/4 cups):

To divide fractions, we need to multiply the divisor (1 1/4 cups) by the reciprocal of the dividend (45/2 cups).

Reciprocal of 45/2 cups = 2/45 cups

(45/2 cups) ÷ (1 1/4 cups) = (45/2 cups) * (2/45 cups)

The cups unit cancels out, leaving us with:

45 * 2 / 2 * 45 = 45 / 45

Therefore, one bag of flour can be used to make one batch of pancakes.