Saturday, June 10, 2017

Know a Simple Method for Adding Fractions with Same Denominators and Different Denominators

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.

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 two different fractions having same denominators is simple. You have to add only the numbers at the numerators of both the like fraction. After adding the numerators, check whether it can be simplified further or not. If the fraction can be simplified that is it can be reduced, you should correctly convert it into lowest form. It is explained in the example below.

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,