Jeremy buys a value pack of cheese crackers that contains 42 1/2 ounces of crackers. He divides it into servings of 1 1/4 ounces each. What is the total opposite servings Jeremy can make from the value pack?

1 answer

To find the total number of servings Jeremy can make, we need to divide the total number of ounces in the value pack by the size of each serving.

Total ounces in the value pack: 42 1/2 ounces

Size of each serving: 1 1/4 ounces

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:

42 1/2 / 1 1/4

First, we convert 42 1/2 to an improper fraction:

42 1/2 = 85/2

Now, we convert 1 1/4 to an improper fraction:

1 1/4 = 5/4

Now we can divide the fractions:

85/2 รท 5/4

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:

85/2 * 4/5

Now we can simplify the fractions:

85/2 * 4/5 = 85 * 4 / 2 * 5 = 340/10

Now we can simplify the fraction:

340/10 = 34/1 = 34

Therefore, Jeremy can make 34 servings from the value pack.