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Mixed Numbers

```
Date: 03/20/2001 at 15:09:35
From: erica
Subject: Mixed numbers

I am having trouble with mixed numbers. Is there an easy way to
remember how to do them?
```

```
Date: 03/21/2001 at 13:52:31
From: Doctor Patti
Subject: Re: Mixed numbers

Hello Erica,

Thank you for writing to Dr. Math.

Let's look at a mixed number.

2
5 ---
3

We know that

3
1 = ---
3
So,

5 =   1  +  1  +  1  +  1  +  1

3     3     3     3     3
=  --- + --- + --- + --- + ---
3     3     3     3     3

15
=   ----
3

Therefore

2         15     2
5  ---  =    ---- + ---
3          3     3

17
=    ----
3

Is there a general rule that you can follow to come up with this
number? Yes.

2           3 * 5 + 2
5  ---  =     ------------
3               3

15 + 2
=       ---------
3

17
=         ----
3

In general, the mixed number

B
A ---
C

can be expressed as the improper fraction

B        C * A + B
A --- =    -----------
C            C

I hope this helps.  Please write back if you have any other questions.

- Doctor Patti, The Math Forum
http://mathforum.org/dr.math/
```
Associated Topics:
Elementary Fractions

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