Proper and improper fractions. Mixed numbersImproper fractions: Fractions with a numerator that is bigger than the denominator. For instance, the following fractions are improper.
Proper fraction: A fraction with a numerator that is smaller than the denominator. For instance, the following are all proper fractions.
Mixed number: A number written as the sum of a whole number and a proper fraction.
For instance, 2 +
1
3
is a mixed number.
The + sign is usually omitted so as to write 2
1
3
Mixed numbers can be converted to improper fractions and vice versa. In our example above,
To get
7
3
multiply 2 by 3 and then add 1. Keep the same denominator.
The above is a shortcut!
Using the shortcut however takes less time!
Notice that the denominator for 2 is 1 since 2 =
2
1
Converting to a mixed number You can also convert an improper fraction to a mixed number
Say you want to convert
13
5
to a mixed number
Ask yourself, " How many 5 can go into 13? " The answer is 2 2 is your whole number piece of the mixed number What is the remainder of this division? 5 × 2 = 10 and 13  10 = 3 3 is the numerator of the fraction piece The denominator remains the same, so it will be 5
The mixed number is 2
3
5
Another example will make this crystal clear may be
Convert
25
6
to a mixed number
Ask yourself, " How many 6 can go into 25? " The answer is 4 4 is your whole number piece of the mixed number What is the remainder of this division? 6 × 4 = 24 and 25  24 = 1 1 is the numerator of the fraction piece The denominator remains the same, so it will be 6
The mixed number is 4
1
6
Still struggling with fractions? Get rid of your fears and frustrations once and for all! Buy my ebook. It offers a thorough coverage of fractions! 




HomepageFractions
Comparing fractions
Improper fractions
Adding fractions
Subtracting fractions
Multiplying fractions
Dividing fractions
Complex fractions
Are you a fan of this site? Support us Our awards! Our partners About me Disclaimer Build your website! Advertise on my site Try our free toolbar Like us on Facebook Take our survey 

