What is the reciprocal of 1/7?
Understand the Problem
The question is asking for the reciprocal of the fraction 1/7. The reciprocal of a fraction is obtained by flipping the numerator and denominator, which in this case would yield 7/1 or simply 7.
Answer
$7$
Answer for screen readers
The final answer is $7$.
Steps to Solve
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Identify the Fraction
The given fraction is $\frac{1}{7}$. -
Find the Reciprocal
To find the reciprocal, flip the numerator and the denominator. The numerator (1) becomes the denominator, and the denominator (7) becomes the numerator. This gives us:
$$ \text{Reciprocal} = \frac{7}{1} $$
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Simplify the Reciprocal
Since $\frac{7}{1}$ is simply 7, we conclude:
$$ \text{Reciprocal} = 7 $$
The final answer is $7$.
More Information
The reciprocal of a fraction is a vital concept in mathematics, especially in operations like division of fractions. Knowing how to find reciprocals can simplify solving equations involving fractions.
Tips
- Forgetting to flip both the numerator and denominator correctly.
- Misunderstanding that the reciprocal of a number is not the same as the same number.