Question

What is the difference and the product of `(-5 3/5)` and `(-3 7/10)`?

Answer 1

The difference, `(-5 3/5) - (-3 7/10) = (-1 9/10)`

The product, `(-5 3/5)xx(-3 7/10) = (+20 18/25)` is positive because when you multiply two negatives the result is positive.

Explanation:

Part 1: The difference
`(-5 3/5) - (-3 7/10)`
`color(white)("XXXX")` `=(-5 3/5) + (3 7/10)`

`color(white)("XXXX")` `= (-5 6/10) + (3 7/10)`

`color(white)("XXXX")` `= (-56 +37)/10`

`color(white)("XXXX")` `=(-19/10)`

Part 2: The product
(Note: combining a question about the difference with a question about the product was confusing. It should probably been asked as 2 questions).

`(-5 3/5) * (-3 7/10)`
`color(white)("XXXX")` `= (-28/5)*(-37/10)`

`color(white)("XXXX")` `=+ 1036/50`

`color(white)("XXXX")` `= 20 36/50`

A negative times a negative always gives a positive.