Final answer is To find how many groups of ⅓ are in 2, you multiply 2 by the reciprocal of ⅓, which is 9, resulting in 18 groups.
The student's question asks: How many groups of ⅓ are in 2? To answer this, we need to calculate how many times ⅓ fits into the number 2. This is essentially a division problem where 2 (the whole number) is divided by ⅓ (the fraction). Since dividing by a fraction is the same as multiplying by its reciprocal, we multiply 2 by the reciprocal of ⅓, which is 9.
Here's the step-by-step calculation:
Write down the problem: 2 ÷ ⅓.
Find the reciprocal of ⅓, which is 9.
Multiply 2 by 9 to get 18.
Therefore, there are 18 groups of ⅓ in 2.