Proper and improper fractions. Mixed numbers
A concise but great lesson about improper and proper fractions and mixed numbers.
Fractions with a numerator that is bigger than the denominator.
For instance, the following fractions are improper.
A fraction with a numerator that is smaller than the denominator.
For instance, the following are all proper fractions.
A number written as the sum of a whole number and a proper fraction.
For instance, 2 +
1 / 3is 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,
7 / 3multiply 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 / 5to 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
25 / 6to 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!
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 Illustrated fractions Educational math software Math jobs Best Teacher Sites Now Teachers/Students tools Search math jobs Algebra ebook Fraction ebook Geometric formulas ebook