Fractions are mainly of two types- like and unlike fractions. Like fractions are fractions with same denominator. Unlike fractions are the fractions with different denominators. I will show you how to add like as well as unlike fractions.
- Like fractions have same denominators so it is easy to add like fractions. Here is an example. Consider two fractions with same denominators. Let the numbers be 2/3 and 4/3.
- 3 is the denominator. Add the top two numbers, then we will get the top part as 6 (i.e. 4+2). Now write the denominator 3. Thus the sum of fractions 2/3 and 4/3 is equal to 6/3.
- The next step is simplifying the fraction. Always remember that fraction is written in the simplest form. Thus the final answer is 2 (as 6 divided by 3 is 2).
- The simplest equation for adding ‘n’ number of like fraction is (numerator1 + numerator2+ ….numerator n)/denominator. Here, n is the last no.
- In the case of unlike fractions the denominators are different. So we have to equalize the denominators.
- Consider two fractions 3/2 and 5/4. The denominators are different in this case so we have to make it equal.
- First decide what number should be multiplied with the denominator of first fraction to equalize with the denominator of second fraction.
- Remember that when the denominator is multiplied, the numerator too have to be multiplied with the same number.
- In this case denominator has to be multiplied with 2. Considering the above point numerator also has to be multiplied with 2.
- The first fraction becomes 6/4 and the second fraction is 5/4.
- Now the denominators are same, the fractions have become like.
- Follow the same procedures given above for addition of like fractions.