Question

Consider 2 1/2 divided by 1/ 4 . Write a real-world problem for the division. Find the quotient for the real-world problem in part (a). Show your work or explain your reasoning.

Answer 1

A real-world problem that represents the division 2 1/2 divided by 1/4 could be: Sam has 2 1/2 cups of flour and wants to divide it equally among 1/4 cup servings. How many servings can Sam make? To solve this problem, divide 2 1/2 by 1/4 and simplify the fraction to find the quotient of 10 servings.

Step-by-step explanation:

A real-world problem that represents the division 2 1/2 divided by 1/4 could be:

Sam has 2 1/2 cups of flour and wants to divide it equally among 1/4 cup servings. How many servings can Sam make?

To solve this problem, we divide 2 1/2 by 1/4:

First, convert the mixed number to an improper fraction: 2 1/2 = 5/2.
Next, multiply the numerator of the dividend by the reciprocal of the divisor: 5/2 ÷ 1/4 = (5/2) * (4/1).
Then, multiply the numerators and the denominators: (5 * 4) / (2 * 1) = 20/2.
Finally, simplify the fraction: 20/2 = 10.

The quotient for the real-world problem is 10 servings.