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Sagot :

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