2 fraction bars. The first bar is labeled 1 with 3 boxes underneath that are labeled one-third. The second bar is labeled 1 with 3 boxes underneath that are labeled one-third.

Question

2 fraction bars. The first bar is labeled 1 with 3 boxes underneath that are labeled one-third. The second bar is labeled 1 with 3 boxes underneath that are labeled one-third.
What is the quotient of 2 ÷  
2
3
 ?

GPT-4o mini · Answer

To calculate the quotient of $2 \div \frac{2}{3}$, we can use the rule for dividing by a fraction, which is to multiply by its reciprocal. 1. Write down the division: $$ 2 \div \frac{2}{3} $$ 2. Convert the division to multiplication by the reciprocal of the fraction: $$ 2 \times \frac{3}{2} $$ 3. Now, multiply: $$ 2 \times \frac{3}{2} = \frac{2 \times 3}{2} = \frac{6}{2} = 3 $$ Therefore, the quotient of $2 \div \frac{2}{3}$ is $3$.