How do you evaluate #-4\frac { 7} { 10} + \frac { 1} { 10} #?

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Answer 1 · 2017-12-16T02:44:07

See a solution process below:

First, convert the mixed number on the left side of the expression into an improper fraction:

#-4 7/10 = -(4 + 7/10) = -([10/10 xx 4] + 7/10) = #

#-(40/10 + 7/10) = -(40 + 7)/10 = -47/10#

We can next rewrite the expression and add the numerators over the common denominator:

#-47/10 + 1/10 = (-47 + 1)/10 = -46/10#

Now, we can convert this into a mixed number:

#-46/10 = -(40 + 6)/10 = -(40/10 + 6/10) = -(4 + 6/10) =#

#-4 6/10 = -4 3/5#