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Home » Fractions » Mixed Fractions

# Mixed fractions and Improper Fractions

## Writing Fractions that are Greater than One

## Converting a Mixed Number to an Improper Fraction

## Rules for Converting a Mixed Number to an Improper Fraction

## Example 1 - Rewriting Mixed Numbers as Improper Fractions

## Converting an Improper Fraction to a Mixed Number

## Rewriting an Improper Fraction as a Mixed Number - Example 2

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In this lesson we will focus on fractions that are actually greater than one. I've always known them as Mixed Numbers, but I've found that many people are calling them mixed fractions. Depending on how the number is written is may also be an improper fraction.

So, after all the talk about proper fractions, and how a fraction is "part of a whole" or less than 1, how we can we now say that some fractions are actually greater than 1?

If we have a whole plus part of a whole, then we actually have a mixed number. It's easier explained through a graphic. Take a look....

Our Mixed Number of One and one-half above, can be written two ways. Take a look...

In many cases, an improper fraction is easier to work with than a mixed number. Therefore, mixed numbers are often converted to improper fractions. How do we do this?

So, now you know the rules for converting a mixed number to an improper fractions are:

1. Multiply the denominator times the whole number and then add the numerator. This is the new numerator.

2. Write this number over the existing denominator.

3. This is your new improper fraction.

Just to make sure you completely understand, let's take a look at one more example.

So, if we can rewrite a mixed number as an improper fraction, then we surely must be able to write an improper fraction as a mixed number!

We'll take a look at one more example, just to make sure you can convert an improper fraction to a mixed fraction.

Hopefully now you understand the difference between an improper fraction and a mixed fraction. You should also be able to convert from one to the other.

- Prime and Composite Numbers
- Simplifying Fractions
- Comparing Fractions
- Mixed Numbers and Improper Fractions
- Adding Fractions with Like Denominators
- Adding Fractions with Unlike Denominators
- Subtracting Fractions with Like Denominators
- Subtracting Fractions with Unlike Denominators
- How to Multiply Fractions
- Multiplying Fractions by Whole Numbers
- Multiplying Mixed Numbers

Strawberry image courtesy of: Image: porbital / FreeDigitalPhotos.net

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