Asked by Amani

Explain why Alexa is incorrect and provide the correct reciprocal
The reciprocal of 3 8/5 3 5/8
Answered by oobleck
since 3 8/5 is greater than 1, its reciprocal must be less than 1
also, 3 8/5 isn't really a valid mixed number, which have fractional parts less than 1.

since 3 8/5 = 23/5, its reciprocal is 5/23
Answered by Bosnian
3 8/5 = 3 + 8 / 5 =

15 / 5 + 8 / 5 = 23 / 5

The reciprocal = 5 / 23

OR

3 8/5 = 3 + 8 / 5 =

3 + 5 / 5 + 3 / 5 =

3 + 1 + 3 / 5 =

4 + 3 / 5 = 4 3/5

So 3 8/5 is the same as 4 3/5

4 3/5 = 4 + 3 / 5 =

20 / 5 + 3 / 5 = 23 / 5

The reciprocal = 5 / 23

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