# How do you solve #13 2/9 - 7 1/3# and simplify the answer?

##### 1 Answer

Convert to improper fractions, make the denominator common, subtract, then convert to the asked fraction form (perhaps a mixed fraction) to obtain

#### Explanation:

Before starting, I would turn any subtraction into negative addition to reduce ambiguity and reduce the possibility of errors:

Now, let's convert each to improper fractions. Mixed fractions really are a sum of a whole number and a proper fraction:

I'll take the whole number,

Then multiply by

Still not changing anything, we can turn that

And multiply:

Now add them together:

Alright, that's our first improper fraction, now we have:

Time to tackle the second! However, we need to make sure both fractions end up having common denominators. So let's make both

Putting this back into our problem:

Now solve:

I assume you need a mixed fraction... Well, split

Then divide