Addition of Fractions
Addition of Fractions
Addition of Fractions:
Adding Fractions with the Same Denominator:
For example: Let us add
The only thing we need to do is add the numerators and leave the denominator alone. The answer is:
Adding Numbers and a Fraction
For example:
The first thing that we need to do in this case is to convert the 2 into a fraction. As you already know, we can simply put a 1 in the denominator of any number without changing its value:
When we have two fractions, we can start looking for the common denominator. In this example, it’s quite simple because the least common multiple of 1 and any number is that number. So:
Now, we only need to multiply 2 x 4 and we get:
…and now we put it into our addition problem:
Adding Fractions with Co-Prime Denominators : Two numbers are co-prime if their greatest common divisor is 1. For example, in the problem:
The denominators are co-prime because 3 and 4 have common factor as 1. These kinds of problems are simple to solve because the only thing that we need to do to find the new numerators is to multiply each numerator by the denominator of the other fraction.
Here, we first have to find the LCM of 3 and 4, which is 12. Then, use equivalent fractions by making the denominators of the fractions same. Finally add the two numerators as shown:
Add the given fractions: | |||
| Right Option : C | |||
| View Explanation | |||
The sum of | |||
| Right Option : C | |||
| View Explanation | |||
| |||
| Right Option : C | |||
| View Explanation | |||
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