What is the reciprocal of 2/7?
Understand the Problem
The question is asking for the reciprocal of the fraction 2/7. To find the reciprocal, we simply invert the fraction, which means we flip the numerator and the denominator.
Answer
The reciprocal of \( \frac{2}{7} \) is \( \frac{7}{2} \).
Answer for screen readers
The reciprocal of ( \frac{2}{7} ) is ( \frac{7}{2} ).
Steps to Solve
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Identify the Fraction We have the fraction ( \frac{2}{7} ).
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Invert the Fraction To find the reciprocal, we switch the numerator and the denominator: $$ \text{Reciprocal} = \frac{7}{2} $$
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Write the Final Answer Now we have the reciprocal of ( \frac{2}{7} ): $$ \frac{7}{2} $$
The reciprocal of ( \frac{2}{7} ) is ( \frac{7}{2} ).
More Information
The reciprocal of a fraction is an important concept in mathematics. It is used in various applications, including solving equations and simplifying expressions. The reciprocal effectively represents the multiplicative inverse; for example, ( \frac{2}{7} \times \frac{7}{2} = 1 ).
Tips
- A common mistake is to confuse the reciprocal with the opposite of the fraction. Remember, the reciprocal is simply inverting it, not changing its sign.
