Question

Reciprocal of 2 (1/7) is _​

Answer 1

7/15

Explanation:

2 1/7 is 2*7+1/7 = 15/7. The reciprocal of this would happen if you flip it upside down. Thus, the reciprocal is 7/15.

Answer 2

`(7)/(15)`

Explanation:

To find the reciprocal of a fraction, simply switch the numerator and denominator.

Since
`2(1)/(7)` is a mixed number, start by converting it to a common fraction using
`a(b)/(c)\implies (a \cdot c+ b)/(c)`

Therefore,
`2(1)/(7)` as a common fraction is:

`(2\cdot 7+1)/(7)=(14+1)/(7)=(15)/(7)`

Now switch the numerator and denominator to find the reciprocal:

`\rightarrow \boxed{(7)/(15)}`