Question

Multiply. -8. -9/3 . 2/-5Write your answer in simplest form.

Answer 1

`(-8)\cdot(-(9)/(3))\cdot(-(2)/(5))`

To multiply these numbers, the first step is to writhe "-8" as an improper fraction, to do so, divide it by 1

`(-(8)/(1))\cdot(-(9)/(3))\cdot(-(2)/(5))`

Next is to solve the multiplication, to do so, first multiply the first two terms of the multiplication:

`(-(8)/(1))\cdot(-(9)/(3))`

The multiplication is between two negative numbers, when you multiply two negative numbers, the minus signs cancel each other and turn into a positive value, this is called "double-negative"

`(-(8)/(1))\cdot(-(9)/(3))=(8\cdot9)/(1\cdot3)=(72)/(3)`

Next multiply the result by the third fraction -2/5

This time you are multiplying a positive and a negative number, so the result of the calculation will be negative

`(72)/(3)\cdot(-(2)/(5))=-(72\cdot2)/(3\cdot5)=-(144)/(15)`

Final step is to simplify the result, both 144 and 15 are divisible by 3, so divide the numerator and denominator by 3 to simplify the result to the simplest form:

`-(144/3)/(15/3)=-(48)/(5)`