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Mrs. Hanson has a potato salad recipe that calls for \(2 \frac{3}{8}\) pounds of potatoes, but she wants to make \(1 \frac{1}{2}\) times as much as the recipe calls for. The diagram represents the number of pounds of potatoes that Mrs. Hanson needs.

How many pounds of potatoes does Mrs. Hanson need? Enter your answer as a mixed number in simplest form.

Answer :

The pounds of potatoes that Mrs. Hanson needs is 3 9/16 pounds.

How many pounds of potatoes does Mrs. Hanson need?

A mixed number is number that consists of a whole number and a proper fraction. A proper fraction is a fraction in which the numerator is less than the denominator. An example of a mixed number is 2 3/8.

In order to determine the pounds of potatoes that Mrs. Hanson needs, multiply 2 3/8 by 1 1/2. Multiplication is the mathematical process that is used to determine the product of two or more numbers. The sign that is used to represent multiplication is x.

Pounds of potatoes that Mrs Hanson needs = 2 3/8 x 1 1/2

Pounds of potatoes that Mrs Hanson needs = 19/8 x 3/2

Pounds of potatoes that Mrs Hanson needs = 57 / 16 = 3 9/16 pounds

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Final answer:

To calculate the number of potatoes required for 1 1/2 times the original recipe, we converted the mixed numbers 2 3/8 and 1 1/2 into improper fractions, multiplied them, and obtained an answer of 57/16. This was then converted back into a mixed number, providing us with the answer of 3 9/16 pounds.

Explanation:

To find out how many pounds of potatoes Mrs. Hanson needs for her potato salad recipe, we first need to convert the mixed numbers to improper fractions for easier multiplication. Therefore, 2 3/8 equals 19/8 and 1 1/2 equals 3/2.

Next, we multiply the fractions to find the exact amount of potatoes needed, which is (19/8) * (3/2) = 57/16. The result, 57/16, is also an improper fraction.

To make it more understandable, we will convert it into a mixed number. Dividing 57 by 16, we get 3 as a quotient and 9 as a reminder. Therefore, the mixed number is 3 9/16. Hence, Mrs. Hanson needs 3 9/16 pounds of potatoes for her potato salad.

Learn more about Fraction multiplication here:

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