Question

1. which question can be represented by the equation $? \bullet \frac{1}{3} = 4$?

a. how many $\frac{1}{3}$s are in 4?

b. what is $\frac{1}{3}$ of 4?

c. what is 4 groups of $\frac{1}{3}$?

d. how many 4s are in $\frac{1}{3}$?

Explanation:

(for Question 2):

Step1: Convert mixed number to improper fraction

$1\frac{1}{2} = \frac{3}{2}$

Step2: Divide to find the count of $\frac{1}{2}$

$\frac{3}{2} \div \frac{1}{2} = \frac{3}{2} \times \frac{2}{1} = 3$

Step3: Verify with the diagram

1 whole hexagon has 2 halves, and the additional $\frac{1}{2}$ (the trapezoid) makes 3 total halves.

(for Question 3):

Step1: Analyze the equation structure

The equation $? \cdot \frac{1}{3} = 4$ can be rearranged to $? = 4 \div \frac{1}{3}$, which asks how many $\frac{1}{3}$ fit into 4.

Step2: Match to options

Option A asks "How many $\frac{1}{3}$s are in 4?", which matches the rearranged equation. Options B, C represent multiplication of 4 and $\frac{1}{3}$, and D represents $\frac{1}{3} \div 4$, which do not match.

Answer:

1. For Question 2: 3
2. For Question 3: A. How many $\frac{1}{3}$s are in 4?