Question

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

Answer 1

One divided by two-fifths minus negative three-fifths.

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

In order to solve this problem correctly, we need to keep in mind the Order of Operations (PEMDAS).

PEMDAS says to do the division first.

`1/(2)/(5) = 2.5`

now we subtract
`-(3)/(5)` from 2.5 (or, in fraction form,
`(5)/(2)`)

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

Now, we can simplify this problem by remembering this: Subtracting a negative is the same as adding a positive.

So, we can rewrite it like this -

`(5)/(2) + (3)/(5)`

Then we also need to find the Least Common Denominator (LCD) of these two fractions before we can add them. I encourage you to figure this out yourself.

`(25)/(10) + (6)/(10)`

Now we add the numerators to get the answer.

`25 + 6 = 31` so the solution is
`(31)/(10)`

Simplify

`3 (1)/(10)`

That is your final solution.

I hope you found this helpful!