You may have come across with fractions often since you
are studying the factions. They come in the formulas, algebraic equations, and
some practical problems. Algebraic equations contain fractions, so it is an important topic to solve the equations of
algebra. You should study about adding fractions that contain algebraic
expressions. However, numbers are
included in the fractions of arithmetic.
You should know all the operations on fractions as they are useful for various
problems. You must be capable of solving addition, subtraction, division and
multiplication of different fractions. Here, you will study how to add two
different fractions that are containing only numbers by an easy method.

Adding fractions |

**Types of fractions**

Firstly, you should be aware of the different types of
fractions. There are usually two kinds of fractions
used that are like or same fractions and unlike fractions for addition. The like fractions are the fractions that have
the same number at the denominator place like 2/3 and 4/3. Whereas, the, unlike
fractions, has different numbers at the denominators place like 2/3 and 4/11.
You should able for adding fractions of both like and unlike fractions.

**To add the like fractions**

So, as the both the denominators are same, you can add it
as,

It can be reduced further as both 4 and 8 are divisible
by a common number that is 4. Thus, the correct answer to this problem will be,

**To add the unlike fractions**

To add two unlike fractions is little tricky, as the
denominators are not same. In this case, you have to make the denominators of
the fraction same. So convert the fractions so that they have the same
denominator and then simply add them. For
adding fractions easily, you must ensure sure that both the bottom numbers that
is denominators are same.

Firstly,
convert the unlike fractions to like fractions by making both the denominators
same.

Then, you have
to add only the numerators of both the fractions, as the denominators are made
same.

Then, if the
fraction obtained after addition can be simply further, you must convert it
into lowest or reduced form correctly. it
will be your final answer that would be a fraction.

Consider this problem to understand it better, and you
can easily add the fractions.

Firstly, you have to make both the denominators same as
they are different that are 3 and 6. If we multiply both the numerator and
denominator of the first fraction by 1/3 by 2, it can be converted to 2/6. So,
you can add this new fraction with the second fraction
5/6 that gives the answer as 7/6.

So, you have studied to add the arithmetic fractions. Adding
fractions in the way to add two algebraic fractions is also simple for you.

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