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Find the reciprocals of the numbers below. The reciprocal of 12 is . The reciprocal...

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Problem

Find the reciprocals of the numbers below. The reciprocal of 12 is ___. The reciprocal of 12/11 is ___.

Answer

The reciprocal of 12 is $\frac{1}{12}$. The reciprocal of $\frac{12}{11}$ is $\frac{11}{12}$.

Step-by-step solution

  1. Understand Reciprocals: The reciprocal of a number is 1 divided by that number. For a fraction $\frac{a}{b}$, its reciprocal is $\frac{b}{a}$. The product of a number and its reciprocal is always 1.
  1. Find the reciprocal of 12: To find the reciprocal of 12, we can write 12 as a fraction, which is $\frac{12}{1}$. Then, we invert the fraction. So, the reciprocal of 12 is $\frac{1}{12}$.
  1. Find the reciprocal of $\frac{12}{11}$: To find the reciprocal of the fraction $\frac{12}{11}$, we simply invert the fraction by swapping the numerator and the denominator. So, the reciprocal of $\frac{12}{11}$ is $\frac{11}{12}$.