To find the reciprocal of a given fraction, you need to swap the numerator (the top number) and the denominator (the bottom number) of the fraction.
Given the fraction [tex]\(\frac{5}{6}\)[/tex]:
1. Identify the numerator and the denominator.
- Numerator: 5
- Denominator: 6
2. Swap the numerator and the denominator to find the reciprocal.
- New numerator: 6
- New denominator: 5
So, the reciprocal of [tex]\(\frac{5}{6}\)[/tex] is [tex]\(\frac{6}{5}\)[/tex].
Therefore, the correct answer is [tex]\(\frac{6}{5}\)[/tex].
