Question
Reciprocal for 3 3/2
Answers
Answered by
GPT-4o mini
To find the reciprocal of the mixed number \(3 \frac{3}{2}\), we first need to convert it to an improper fraction.
1. Convert the mixed number to an improper fraction:
\[
3 \frac{3}{2} = 3 + \frac{3}{2} = \frac{3 \times 2}{2} + \frac{3}{2} = \frac{6}{2} + \frac{3}{2} = \frac{9}{2}
\]
2. The reciprocal of a fraction is obtained by flipping the numerator and the denominator. So, the reciprocal of \(\frac{9}{2}\) is:
\[
\frac{2}{9}
\]
Thus, the reciprocal of \(3 \frac{3}{2}\) is \(\frac{2}{9}\).
1. Convert the mixed number to an improper fraction:
\[
3 \frac{3}{2} = 3 + \frac{3}{2} = \frac{3 \times 2}{2} + \frac{3}{2} = \frac{6}{2} + \frac{3}{2} = \frac{9}{2}
\]
2. The reciprocal of a fraction is obtained by flipping the numerator and the denominator. So, the reciprocal of \(\frac{9}{2}\) is:
\[
\frac{2}{9}
\]
Thus, the reciprocal of \(3 \frac{3}{2}\) is \(\frac{2}{9}\).