Part A:

Question

"If you share 7 apples equally with 3 people, then there are 2 1/3..."

First, complete the sentence. Then, briefly explain what the whole number 2, the denominator 3, and the numerator 1 mean in this problem.

Part B:
The expression 1÷1/4 is given. Give a real-life application to explain this expression and then simplify it.

Answer 1

Part A:
"If you share 7 apples equally with 3 people, then there are 2 1/3 apples for each person."

In this problem, the whole number 2 represents the whole number of apples that can be equally shared among the 3 people. The denominator 3 represents the total number of people the apples are being shared with, and the numerator 1 represents the remaining fraction of an apple that each person will receive, making it a total of 2 1/3 apples per person.

Part B:
A real-life application for the expression 1÷1/4 could be dividing a pizza into quarters (4 equal parts) and then dividing one of those quarters into equal halves. This could represent sharing one quarter of a pizza with two people.

To simplify the expression, first convert the division of fractions into multiplication by multiplying by the reciprocal of the divisor:

1 ÷ 1/4 = 1 * 4/1 = 4

Therefore, the simplified expression would be 4. This means that each person would get 4 equal parts of the one-quarter pizza, which is the equivalent to the whole pizza.