Questions: Find the reciprocals of the numbers below. The reciprocal of 12/7 is The reciprocal of 4 is .

Find the reciprocals of the numbers below. The reciprocal of 12/7 is The reciprocal of 4 is .
Transcript text: Find the reciprocals of the numbers below. The reciprocal of $\frac{12}{7}$ is $\square$ The reciprocal of 4 is $\square$ $\square$.
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Solution

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Solution Steps

Step 1: Find the reciprocal of \(\frac{12}{7}\)

The reciprocal of a fraction \(\frac{a}{b}\) is \(\frac{b}{a}\). Therefore, the reciprocal of \(\frac{12}{7}\) is: \[ \frac{7}{12} \]

Step 2: Find the reciprocal of 4

The reciprocal of a whole number \(n\) is \(\frac{1}{n}\). Therefore, the reciprocal of 4 is: \[ \frac{1}{4} \]

Final Answer

  • The reciprocal of \(\frac{12}{7}\) is \(\boxed{\frac{7}{12}}\).
  • The reciprocal of 4 is \(\boxed{\frac{1}{4}}\).
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