4 divided by 2/3
Understand the Problem
The question is asking us to perform the mathematical operation of dividing 4 by the fraction 2/3. To solve this, we will multiply 4 by the reciprocal of 2/3, which is 3/2.
Answer
6
Answer for screen readers
The final answer is 6. When we divide 4 by 2/3, we get 6.
Steps to Solve

Rewrite as multiplication
To divide by a fraction, we can multiply by its reciprocal. So, we rewrite the problem as:
$4 \times \frac{3}{2}$
This is because $\frac{3}{2}$ is the reciprocal of $\frac{2}{3}$.

Multiply
Now we simply multiply 4 by $\frac{3}{2}$:
$4 \times \frac{3}{2} = \frac{4 \times 3}{2} = \frac{12}{2}$

Simplify
Finally, we simplify the fraction:
$\frac{12}{2} = 6$
The final answer is 6. When we divide 4 by 2/3, we get 6.
More Information
This problem demonstrates the principle that dividing by a fraction is equivalent to multiplying by its reciprocal. This is a fundamental concept in fraction arithmetic and is often used to simplify complex fraction operations.
Tips
A common mistake is to divide 4 by 2 and then by 3, which would give an incorrect answer of 2/3. Remember, when dividing by a fraction, you multiply by its reciprocal instead.