Question

find the sum of -2 5/10 and -5 4/15. then in two or more complete sentences explain the steps you used to add the mixed number

Answer 1

First, we need to transform the mixed numbers into fractions as follows:

`-A(b)/(c)=-((A\cdot c+b))/(c)`

Then:

`\begin{gathered} -2(5)/(10)=-((2\cdot10+5))/(10)=-(25)/(10) \\ -5(4)/(15)=-((5\cdot15+4))/(15)=-(79)/(15) \end{gathered}`

Now, we can sum both fractions as follows:

`(a)/(b)+(c)/(d)=(a\cdot d+b\cdot c)/(b\cdot d)`

Then, the sum of -25/10 and -79/15 is:

`(-25)/(10)+(-79)/(15)=(-25(15)+10(-79))/(10\cdot15)=(-1165)/(150)=(-233)/(30)`

Therefore, the answer is -233/30

Answer: -233/30