Explain why Alexa is incorrect and provide the correct reciprocal
The reciprocal of 3 8/5 3 5/8
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
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