Question

Solve problem
-2 1/3 - (-5)

Answer 1

See below.

Explanation:

We are asked to solve this expression.

We should first identify that (-5) will be a positive 5 due to 2 negatives cancelling each other out.

We should have;

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

To make adding a bit more simpler for this type of problem, we should turn both values into Improper Fractions.

What are Improper Fractions?

Improper Fractions are 2 or more fractions that have a greater numerator than a denominator. You can see why they're called improper.

Good Examples:

`(4)/(3) \ and \ (3)/(2) \\4 > 3\\ 3 > 2`

Bad Examples:

`(3)/(4) \ and \ (4)/(4) \\3 < 4\\4 = 4`

Let's turn these values into Improper Fractions.

`(1)/(3) - (3)/(3) - (3)/(3) = -(7)/(3)`

`5=(5)/(1)`

Make the Denominators Equal:

`(5)/(1) * (3)/(3) = (15)/(3) \ (5)`

Now, we can simply add.

`-(7)/(3) + (15)/(3) = (8)/(3)`

Reverse, turn
`(8)/(3)` into a mixed fraction.

`(8)/(3) - (3)/(3) \ (1) - (3)/(3) \ (2) = 2(2)/(3)`

Our final answer is
`2(2)/(3) .`