Question

What is the sum of -3 1/5 + -2/3 =

Answer 1

-3 1/5 / -2/3 = ?

`((-3(1)/(5)))/((-(2)/(3)))`

Steps.

1. convert mixed number to improper fraction

`-3(1)/(5)=-3-(1)/(5)=(-15)/(5)-(1)/(5)=(-15-1)/(5)=(-16)/(5)=-(16)/(5)`

2. rewrite the problem

`(-(16)/(5))/(-(2)/(3))`

3. Eliminate negative signs

`((16)/(5))/((2)/(3))`

4. Apply the following property

`((a)/(b))/((c)/(d))=(a\cdot\:d)/(b\cdot\:c)`
`((16)/(5))/((2)/(3))=(16\cdot\:3)/(5\cdot\:2)`

5. Solve and simplify

`=(8\cdot2\cdot3)/(5\cdot2)=(8\cdot3)/(5)=(24)/(5)`

6. convert the improper fraction to a mixed number

`(24)/(5)=(20+4)/(5)=(20)/(5)+(4)/(5)=4+(4)/(5)=4(4)/(5)`