Question

I’ve been stuck on this and I tried but I can’t get it can someone please help me please

The last cut off answer is 19 over 40

Answer 1

-19/40

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.

`(-3)/(8)-(1)/(10)`

Multiply first fraction by 5/5 and second fraction by 4/4:

`(-3(5))/(8(5))-(1(4))/(10(4))`

Simplify/Multiplied a little:

`(-15)/(40)-(4)/(40)`

Wrote as one fraction since they had the same denominator:

`(-15-4)/(40)`

Time to add 15 and 4 since they are both negative and their result also be negative:

`(-19)/(40)`

Answer 2

-19/40

Explanation:

-3/8-1/10

Convert -3/8 to -15/40

Convert 1/10 to 4/40

-15/40-4/40=-19/40