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Identifying the Reciprocal

Find the reciprocal of [tex] \frac{5}{6} \]:
A. [tex] \frac{1}{6} \]
B. [tex] \frac{1}{5} \]
C. [tex] \frac{5}{6} \]
D. [tex] \frac{6}{5} \]


Sagot :

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].