Final answer:
To determine what 2 2/3 must be multiplied by to equal 4, an equation is set up and solved, resulting in the number 1 1/2 or 1.5 as the multiplier.
Step-by-step explanation:
The student is asking what number 2 2/3 should be multiplied by to get 4. To find this, we set up a simple equation. We have 2 2/3 multiplied by an unknown number (let's call it 'x') equals 4. Converting 2 2/3 to an improper fraction gives us 8/3. Now our equation is (8/3) * x = 4. To find 'x', we divide both sides of the equation by 8/3, which is equivalent to multiplying by its reciprocal 3/8.
So, we have x = 4 * (3/8), which simplifies to x = 12/8, and further simplifying gives us x = 1 1/2 or 1.5.
Therefore, 2 2/3 must be multiplied by 1 1/2 or 1.5 to yield 4.