(Also called "Mixed Numbers")
A Mixed Fraction
|(one and three-quarters)|
|2 3/8||7 1/4||1 14/15||21 4/5|
See how each example is made up of a whole number and a proper fraction together? That is why it is called a "mixed" fraction (or mixed number).
We can give names to every part of a mixed fraction:
Three Types of Fractions
There are three types of fraction:
Mixed Fractions or Improper Fractions
You can use either an improper fraction or a mixed fraction to show the same amount.
For example 1 3/4 = 7/4, as shown here:
Converting Mixed Fractions to Improper FractionsTo convert a mixed fraction to an improper fraction, follow these steps:
Example: Convert 3 2/5 to an improper fraction.
Multiply the whole number by the denominator:
Add the numerator to that:
Then write that down above the denominator, like this:
Converting Improper Fractions to Mixed Fractions
To convert an improper fraction to a mixed fraction, follow these steps:
Example: Convert 11/4 to a mixed fraction.
Write down the 2 and then write down the remainder (3) above the denominator (4), like this:
When to Use Improper Fractions or Mixed Fractions
For everyday use, people understand mixed fractions better:
Example: It is easier to say "I ate 2 1/4 sausages", than "I ate 9/4 sausages"
But for mathematics improper fractions are actually better than mixed fractions.
Because mixed fractions can be confusing when you write them down in a formula (are the two parts supposed to be added or multipled?):
|Mixed Fraction:||What is:||1 + 2 1/4||?|
|Is it:||1 + 2 + 1/4||= 3 1/4 ?|
|Or is it:||1 + 2 × 1/4||= 1 1/2 ?|
|Improper Fraction:||What is:||1 + 9/4||?|
|It is:||4/4 + 9/4 = 13/4|
- For Mathematics: Improper Fractions
- For Everyday Use: Mixed Fractions