Question

What is `12 2/5 - 6 3/4`?

Answer 1

`113/20`

Explanation:

We can start by converting the mixed numbers into improper fractions. When we do this, we are multiplying the denominator by the whole number, and adding it to the numerator. We get:

`62/5-27/4`

Now, we're at a crossroads because our fractions have different denominators. We can set the denominator to be `20` by multiplying the top and bottom by `4` and `5`, respectively.

`62/5= color(blue)(248/20)`

`27/4=color(blue)(135/20)`

Our fractions in blue are the ones we'll use. We get:

`248/20-135/20`

Now, we can just subtract the numerators to get:

`113/20`

This is our answer, because the fraction is in its simplest form.