Question

Find 2/5(-3.75). Write your answer as a mixed number in simplest form.

Answer 1

-1 1/2 this is the right answer

Explanation:

Answer 2

- 1
`(1)/(3)`

Explanation:

-3.75 can be written as a fraction as -3
`(75)/(100)` o r-3
`(3)/(4)` if I divide the numerator and the denominator by 25.

`(2)/(5)` (-3
`(3)/(4)`)

We can change -3
`(3)/(4)` into an improper fraction. We can do that a few ways but I am going to the it the way that is most intuitive to me.

another name for 1 is
`(4)/(4)` because 4 ÷ 4 = 1. I am going to use that knowledge to convert -3
`(3)/(4)` into a mixed number.

-(
`(4)/(4)` +
`(4)/(4)` +
`(4)/(4)` +
`(3)/(4)`) = -
`(15)/(4)` The negative sign can go in the numerator, denominator or in front to the fraction to show that the number is negative.

`(2)/(5)` x -
`(15)/(4)` = -
`(30)/(20)` Divide the numerator and the denominator by 10

=
`(3)/(2)`

Which means the same thing as -(
`(2)/(2)` +
`(1)/(3)` ) which means the same thing as -(1 +
`(1)/(3)` +or - 1
`(1)/(3)`