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10. What's the reciprocal of [tex]\frac{6}{5}[/tex]?

A. [tex]1 \frac{1}{5}[/tex]
B. [tex]\frac{5}{6}[/tex]
C. [tex]\frac{12}{10}[/tex]
D. 1

Sagot :

GinnyAnsweridn
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].
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