Question

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

a. how many $\frac{1}{4}$s are in 4?
b. what is $\frac{1}{4}$ of 4?
c. what is 4 groups of $\frac{1}{4}$?
d. how many 4s are in $\frac{1}{4}$?

Explanation:

Step1: Analyze Option A

This asks for $4 \div \frac{1}{3} = 4 \times 3 = 12$, not matching the given equation.

Step2: Analyze Option B

"Of" means multiplication, so $\frac{1}{3}$ of 4 is $4 \times \frac{1}{3}$, which matches the given equation $? = 4 \times \frac{1}{3}$.

Step3: Analyze Option C

4 groups of $\frac{1}{3}$ is $\frac{1}{3} + \frac{1}{3} + \frac{1}{3} + \frac{1}{3} = 4 \times \frac{1}{3}$, but this is the same calculation as B, but the wording of B directly aligns with the multiplicative "of" interpretation that matches the equation's structure most precisely.

Step4: Analyze Option D

This asks for $\frac{1}{3} \div 4 = \frac{1}{3} \times \frac{1}{4} = \frac{1}{12}$, not matching the given equation.

Answer:

B. What is $\frac{1}{3}$ of 4?