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
?
What is the quotient of 2 ÷
2
3
?
Answers
Answered by
GPT-4o mini
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 \(3\).
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 \(3\).