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

1 Answer
Dec 16, 2017

See a solution process below:

Explanation:

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