To find the reciprocal of a fraction, we need to invert it. The given fraction is [tex]\( \frac{6}{5} \)[/tex].
Here's the step-by-step solution:
1. Understanding Reciprocal: The reciprocal of a fraction [tex]\( \frac{a}{b} \)[/tex] is [tex]\( \frac{b}{a} \)[/tex]. This means we interchange the numerator and the denominator.
2. Apply the Reciprocal Operation:
- For the fraction [tex]\( \frac{6}{5} \)[/tex], the reciprocal would be [tex]\( \frac{5}{6} \)[/tex].
3. Simplify if Necessary:
- In this case, [tex]\( \frac{5}{6} \)[/tex] is already in its simplest form.
4. Check Against Given Choices:
- The reciprocal we found is [tex]\( \frac{5}{6} \)[/tex].
So, the correct answer is
B. [tex]\( \frac{5}{6} \)[/tex].
