(Also called "Mixed Numbers")
|(one and three-quarters)|
A Mixed Fraction is a whole number and a proper fraction combined.
Such as 134
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
We can use either an improper fraction or a mixed fraction to show the same amount.
For example 134 = 74, as shown here:
Converting Mixed Fractions to Improper FractionsTo convert a mixed fraction to an improper fraction, follow these steps:
Example: Convert 325 to an improper fraction.
Multiply the whole number (3) by the fraction's denominator (5):
Add the fraction's numerator (2) to that:
Then put that 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 114 to a mixed fraction.
Write down the 2 and then write down the remainder (3) above the denominator (4), like this:
2 3 4
When to Use Improper Fractions or Mixed Fractions
For everyday use, people understand mixed fractions better:
Example: It is easier to say "I ate 214 sausages", than "I ate 94 sausages"
But for mathematics improper fractions are actually better than mixed fractions.
Because mixed fractions can be confusing when we write them in a formula: should the two parts be added or multiplied?
|Mixed Fraction:||What is:||1 + 214||?|
|Is it:||1 + 2 + 14||= 314 ?|
|Or is it:||1 + 2 × 14||= 112 ?|
|Improper Fraction:||What is:||1 + 94||?|
|It is:||44 + 94 = 134|
- For Mathematics: Improper Fractions
- For Everyday Use: Mixed Fractions