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Answer:
see explanation
Step-by-step explanation:
The reciprocal of a number n is [tex]\frac{1}{n}[/tex]
(a)
1 [tex]\frac{6}{7}[/tex] ← change to an improper fraction
= [tex]\frac{13}{7}[/tex]
Then its reciprocal is [tex]\frac{1}{\frac{13}{7} }[/tex] = [tex]\frac{7}{13}[/tex]
(b)
The reciprocal of [tex]\frac{7}{13}[/tex] is [tex]\frac{1}{\frac{7}{13} }[/tex] = [tex]\frac{13}{7}[/tex] = 1 [tex]\frac{6}{7}[/tex]
(c)
Each is the reciprocal of the other