Adding and Subtracting Fractions
HAS NEVER BEEN AS SIMPLE AS THIS
Almost every one of us has encountered a situation where we
are required to add or subtract fractions. This in most cases
proves to be quite a challenge to many of us. But did you know
that mathematical sums are the most interesting once you grasp
the basic approach of any calculation? Well this is very true.
Adding and subtracting fractions can as well be the simplest and
most interesting task. If you have an upcoming aptitude test or
any test that will have any calculations associated with fractions
then do not worry since in this article you will be shown how to
WHAT IS A “FRACTION”?
First of all we need to understand what a fraction is.
It is simply a number divided by another number.
This implies that the number represents a fraction of the
A classical example of this can be 2/3. This means that 2 in
every 3 or third of a whole.
Calculations of fractions will be easier when you understand
the different aspects of a fraction and how they have been
A fraction has two parts…
…THE NUMERATOR AND THE DENOMINATOR.
N U M E R A TO R R E F E R S T O T H E N U M B E R O N T O P
W H E R E A S T H E D E N O M I NA TO R I S T H E N U M B E R O N
THE DENOMINATOR REPRESENTS THE OVERALL SIZE OR
T H E W H O L E . I T I S T H E R E F O R E A DV I S A B L E T H A T
BEFORE YOU MAKE ANY ADDITION OR SUBTRACTION,
T H E D E N O M I N A T O R S A R E E Q UA L O R S A M E . A L L T H E
BOTTOM NUMBERS SHOULD BE THE SAME. ADDING AND
S U B T R A C T I N G F R A C T I O N S W I L L O N LY B E S I M P L I F I E D
ONCE THE ADDITION OR SUBTRACTION UNIT SIZES ARE
An example of the addition and subtraction of fractions can be ¼ plus
2/3. This question may look complex at first glance but this should never
put you off.
You can clearly see that the two sets of fractions have different
denominators and therefore we have to convert them into a common
We therefore have to multiply the first part with the second denominator
and the second part with the first denominator.
In this case we multiply ¼ by 3 and 2/3 by 4. This applies to both the
numerator and the denominator and therefore the final value will be
3/12 since 1*3 is 3 and 4*3 is 12.The second fraction will be 2/3*4
which gives us 8/12.
We now get two sets of fractions with common denominators.
These are 3/12 + 8/12.
Once you get common denominators it becomes very
simple to solve the sum. You simply leave the
denominator the way it is and add the numerators. The
final answer will be 11/12 that is 3+8=11 and 12 remains
the same. The same applies to the subtraction of
fractions. You just ensure you have a common
denominator then you can deduct the numerators.
However this should never be applied when it comes to
the multiplication of fractions. You simply divide values
that are divisible by each other then multiply the final
You can now clearly see that
adding and subtracting fractions is a simple process.
You can now go confidently for the aptitude challenge or test.