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Answer:

Step-by-step explanation:

14/9.

Reciprocal of 2 = 1/2.

Reciprocal of 7 = 1/7.

1/2 + 1/7 = 7/14 + 2/14 = 9/14, whose reciprocal is 14/9.

The reciprocal of 2 plus the reciprocal of 7 is the reciprocal of what number of 14/9

The reciprocal of any value is equivalent to one divided by such value. FOr instance, the reciprocal of "a" is 1/a

According to the given question;

  • The reciprocal of 2 is 1/2
  • The reciprocal of 7 -s 1/7

Taking the sum of both result

[tex]=\frac{1}{2} +\frac{1}{7}\\ =\frac{7+2}{14}\\=\frac{9}{14}\\=\dfrac{1}{(\frac{14}{9} )}[/tex]

This shows that the result is the reciprocal of 14/9

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