I'm here to help! Let's break down your questions and find the answers.
A) A mixed number is a combination of a whole number and a fraction. We are looking for a mixed number that is between 3 and 4 but closer to 3. To find examples, we can start with 3 as the whole number and then add different fractions less than 1.
Example 1: 3 + 1/2 = 3 1/2
Example 2: 3 + 1/3 = 3 1/3
Example 3: 3 + 1/4 = 3 1/4
So, three examples of mixed numbers between 3 and 4 but closer to 3 are 3 1/2, 3 1/3, and 3 1/4.
B) An improper fraction is a fraction where the numerator is greater than or equal to the denominator. We are looking for an improper fraction between 3 and 4 but closer to 3. To find examples, we can start with the numerator being a number greater than 3 and the denominator being a number less than or equal to 3.
Example 1: 4/3
Example 2: 5/3
Example 3: 6/3 (which simplifies to 2)
So, three examples of improper fractions between 3 and 4 but closer to 3 are 4/3, 5/3, and 6/3 (or 2).
I hope this helps! If you have any more questions, feel free to ask.