Learn How To Become An
Expert In Fractions, How To
Identify Whole-part, Quotient
They are simply fractions! Fractions are easy to understand, but
can prove to be quite difficult, especially for first time learners.
But that doesn't mean that you can be an expert in handling
In fact, all the people who feel at ease with fractions started
from the scratches, they didn't understand a thing at first. Then
their teachers taught them simple methods (like the one I am
giving you right now) and so they became well conversant with
A fraction describes a small part of a whole thing when
cut into equal parts. Say you cut an orange into two equal
halves, then one part will be described as 1/2 of the
Fractions can also be used to describe parts of
a small group.
Let's take an example:
we have 3 oranges and 4 apples. Then you
might be asked, what fraction of the group are
apples? In this case, the fraction of apples is
4/7 of the group. In other words, there are 7
parts and 4 apples.
Still working on our sample, it's clear that the
oranges form 3/7 of the whole group. These
are fractions that are not one whole, they
describe a part of the whole.
There are 3 types of fractions.
All these are covered in most elementary
school text books, so you shouldn't worry.
For example, a fraction such as 1/4 is an
indication that one whole has been divided
into 4 equal parts. The division symbol ''/''
tells you that everything above is the
numerator* and anything below is the
denominator*. Both the numerator and
denominator must be treated as whole
Numerator tells you how many parts we are
Denominator talks about how many parts the
whole has been divided into.
So a fraction like 4/7 tells us that we are looking into 4
parts of a whole that has been divided into 7 equal parts.
The fraction 2/3 may be considered as a quotient 2
divided by 3. In other words, you are dividing up 2 by
Supposing we are giving some cookies to 3 people.
Well, we could distribute each cookie to one person at
a time until the process was complete. Now, if we had
6 cookies, then we could represent this situation
using simple math in the form of dividing 6 by 3. It's
clear that each person will get two.
One way of solving this problem is to divide
each cookie into 3 equal parts and giving each
person 1/3 of each cookie, so that each person
ends up with 1/3+1/3 or 2/3 cookies in the
end. In other words, it's 2 divided by 3.
You can compare 2 things in terms of ratio.
There are two ways to go about it. We have the
old fashioned method of writing ratios in the
form of a:b, which is pronounced as ''a is to b''.
However, newer versions of text books state it
as a/b. So if this ration of ''a'' to ''b'' is 1 to
4, then ''a'' is said to be one quarter of ''b''.
In other words, ''b'' is 4 times greater as ''a''.
For instance, the width of a rectangular shape
is 7cm and length 19cm. Now, the ratio of its
width to length is 7cm to 19cm, or 7/19. Since
we are comparing cm to cm, there's no need of
writing the units.
Alternatively, the ratio of its length to width is
19 to 7.
Generally, understanding fractions is very easy.
A teacher may use shapes and real objects to
help explain to the student how fractions work.
They may divide the objects into equal parts and
ask students to write the fractions down.
Usually, this is the simplest way to go about how
to understand fractions.