Question

Simplify Which of the following is correct?

Answer 1

The difference between mixed numbers gives:

-5¹/₆ - (-8¹/₂) = 3¹/₃

So the correct option is the third one.

How to get the difference between mixed numbers?

Here we want to compute the difference between two mixed numbers.

First, remember that we can rewrite those as:

-5¹/₆ = (-5 - 1/6)

-8¹/₂ = (-8 - 1/2)

Now, let's go to the difference:

-5¹/₆ - (-8¹/₂)

First you can see that there are two negative signs together, so it is equivalent to a positive sign:

-5¹/₆ - (-8¹/₂) = -5¹/₆  + 8¹/₂

Now we can replace the mixed numbers to get:

-5¹/₆  + 8¹/₂ = (-5 - 1/6) + (8 + 1/2) = (8 - 5) + (1/2 - 1/6) = (3 + 2/6) = 3 + 1/3

And that can be rewritten to:

3 + 1/3 = 3¹/₃

Which is completely simplified.

So we conclude that the correct option is the third one, counting from the top.

If you want to learn more about mixed numbers:

brainly.com/question/1746829

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