Find the reciprocals of the numbers below.
Check the final answer first, then review the worked steps.
Problem
Find the reciprocals of the numbers below.
Answer
The reciprocal of $\frac{6}{7}$ is $\frac{7}{6}$. The reciprocal of 9 is $\frac{1}{9}$.
Step-by-step solution
- Understand Reciprocals: The reciprocal of a number is what you get when you divide 1 by that number. For a fraction $\frac{a}{b}$, its reciprocal is $\frac{b}{a}$. For an integer $n$, its reciprocal is $\frac{1}{n}$.
2. Find the reciprocal of $\frac{6}{7}$: To find the reciprocal of the fraction $\frac{6}{7}$, we invert the fraction. The numerator becomes the denominator and the denominator becomes the numerator.
The reciprocal of $\frac{6}{7}$ is $\frac{7}{6}$.
3. Find the reciprocal of 9: To find the reciprocal of the integer 9, we can write it as a fraction $\frac{9}{1}$. Then, we invert this fraction.
The reciprocal of 9 is $\frac{1}{9}$.