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?
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.
To find the total number of servings Jeremy can make from the value pack, we need to divide the total weight of the crackers by the weight of each serving.
First, let's convert the mixed numbers to improper fractions:
The total weight of the value pack is 42 1/2 ounces, which can be written as 42 + 1/2 = 42.5 ounces.
The weight of each serving is 1 1/4 ounces, which can be written as 1 + 1/4 = 1.25 ounces.
Now we can calculate the number of servings by dividing the total weight of the value pack by the weight of each serving:
Total servings = Total weight of the value pack / Weight of each serving
Total servings = 42.5 ounces / 1.25 ounces
To divide a decimal number by another decimal number, we need to move the decimal point of the divisor (1.25) two places to the right, making it a whole number.
1.25 * 100 = 125
Now we can do the division:
Total servings = 42.5 ounces / 1.25 ounces
Total servings = 42.5 / 1.25 = 34
Therefore, Jeremy can make a total of 34 servings from the value pack of cheese crackers.
To find the total number of servings Jeremy can make from the value pack of cheese crackers, we can divide the total weight of the value pack by the weight per serving.
Total weight of the value pack: 42 1/2 ounces
Weight per serving: 1 1/4 ounces
To divide mixed numbers, it is easier to convert them to improper fractions:
Total weight of the value pack: 42 1/2 = (2 * 42 + 1) / 2 = 85 / 2
Weight per serving: 1 1/4 = (4 * 1 + 1) / 4 = 5 / 4
Now, we can divide the total weight by the weight per serving:
Total number of servings = (85/2) / (5/4)
To divide fractions, we multiply the numerator of the first fraction by the denominator of the second fraction and vice versa:
Total number of servings = (85/2) * (4/5)
Simplifying the fraction, we cancel common factors:
Total number of servings = (85 * 4) / (2 * 5)
Total number of servings = 340 / 10
Total number of servings = 34
Therefore, Jeremy can make a total of 34 servings from the value pack of cheese crackers.