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Learn
More - FAQs
- Order
Now!
Welcome to the fractions section
of the 
!
I going to assume that you already know the basics of fractions, i.e. a numerator
is the number at the top and a denominator the number at the bottom.
Proper fractions: have a larger denominator than numerator.
Improper fractions: have a smaller denominator than numerator.
Mixed numbers:
include a number and a fraction. For example: 
When we "cut a fraction down to size", we cancel it down by putting it into the lowest terms possible, i.e. when it has numbers on the top and the bottom that cannot be exactly divided by the same number. We cancel a fraction by dividing the numerator and the denominator by a number. We keep dividing the numerator and the denominator by numbers until we can't do this anymore. One cancelled fraction!
Cancel the fraction 
.
This can be divided by 2 on the
top and the bottom. Doing this gives 
.
This can no longer be divided by
any number, so we have one cancelled fraction! If we make this a mixed number,
it becomes 
.
Therefore, we end up with
1 remainder 13. The answer is 1 remainder 13 because 14 goes into 27 one time,
with a remainder of 13.
If we want to express fractions in terms of the same denominator, we need to find the lowest common denominator(LCD) of the fractions. To do this, we multiply the numerator by the amount of times the denominator will divide into the LCD, see below. (The LCD is the lowest possible number that the denominators of all the fractions involved will divide into exactly.)
Express the fractions 
in terms of their LCD.
The lowest common denominator of
these three fractions is 12, and 3 divides into 12 four times,
so the first fraction becomes 
In the same way, the second and
third fractions become 
respectively.
........................................
...................
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