Answer:
-19/40
Step-by-step explanation:
First thing to notice is they don't have a common denominator.
It is easy to see that 8 and 10 both go into 80 because 8(10)=80.
Let's see if we can think of smaller number 8 and 10 both go into.
8=2(2)(2)
10=2(5)
The greatest common factor of 8 and 10 is 2.
The least common multiple of 8 and 10 is 2(2)(2)(5)=40.
That first 2 was what they had in common and then I wrote down all the left over numbers from when we did the greatest common factor.
So 8 and 10 both go into 40.
8(5)=40 and 10(4)=40.
[tex]\frac{-3}{8}-\frac{1}{10}[/tex]
Multiply first fraction by 5/5 and second fraction by 4/4:
[tex]\frac{-3(5)}{8(5)}-\frac{1(4)}{10(4)}[/tex]
Simplify/Multiplied a little:
[tex]\frac{-15}{40}-\frac{4}{40}[/tex]
Wrote as one fraction since they had the same denominator:
[tex]\frac{-15-4}{40}[/tex]
Time to add 15 and 4 since they are both negative and their result also be negative:
[tex]\frac{-19}{40}[/tex]
