What is the reciprocal of 2/7?
Understand the Problem
The question is asking for the reciprocal of the fraction 2/7, which involves swapping the numerator and denominator of the fraction.
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 start with the fraction ( \frac{2}{7} ).
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Swap the Numerator and Denominator To find the reciprocal, we swap the numerator and the denominator. This means that the numerator (2) becomes the denominator, and the denominator (7) becomes the numerator.
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Write the Reciprocal The reciprocal of the fraction ( \frac{2}{7} ) is ( \frac{7}{2} ).
The reciprocal of ( \frac{2}{7} ) is ( \frac{7}{2} ).
More Information
Reciprocals are often used in division and algebraic equations. For any non-zero fraction ( \frac{a}{b} ), the reciprocal is ( \frac{b}{a} ). This is important in solving equations where you might need to multiply both sides by a reciprocal to isolate a variable.
Tips
- Forgetting to swap the numerator and denominator.
- Confusing reciprocals with inverse operations; remember that a reciprocal is specifically for fractions.