(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 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).
That example can be written like this:
Example: Convert 103 to a mixed fraction.
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 part by the denominator:
Add that to the numerator:
Then write that result above the denominator:
We can do the numerator in one go:
Example: Convert 219 to an improper fraction.
NO, they aren't bad!
For mathematics they 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|
But, for everyday use, people understand mixed fractions better.
Example: It is easier to say "I ate 214 sausages", than "I ate 94 sausages"
- For Mathematics: Improper Fractions
- For Everyday Use: Mixed Fractions