Question #6698e

1 Answer
Oct 12, 2017

#-17/5# or #-3 2/5#

Explanation:

First off, adding a negative number is the same as subtracting a number.

So your problem simplifies to #-1 color(red)- 2 2/5#

Now make both sides fractions, and not mixed ones.

#-1/1 - ((2times5)+2)/5#

#=-1/1 - 12/5#

Next, make the denominators the same (this will have to be 5)

#-5/5 - 12/5#

Now subtract the top line:

#-17/5#

If you want to make it a mixed fraction, see how many times the denominator fits in to the numerator (#17 -: 5 = 3#-and-a-bit)
#3 times 5 = 15# so you have #2/5# left over, #:.# your mixed fraction is #-3 2/5#