Solving Fractions

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Fraction is usually written in the “p/q” form. Here ‘p’ is the numerator and 'q' is the denominator. The denominator of a fraction cannot be equal to zero i.e. q not equal to zero. Fraction are very commonly used and very important form of representation of numbers. Fraction are included in different equations expressions in numerical and algebraic expressions. Some fractions can be further simplified according to the requirement. Different mathematical operations can be used to simplify and solve a given fraction.

Example 1: Simplify and find the answer by adding the given 3 fraction numbers 7/3 + 5/3 + /3?

Solution: The first step is to add the first two fraction numbers which have the same denominator 3.
This gives 7/3 + 5/3 = 12/3
Later add the third fraction i.e. 1/3 to the derived answer 12/3
Which is in turn equal to 12/3 + 2/3 = 14/3
Therefore, this gives 7/3 + 5/3 + 2/3 = 14/3.
 

Example 2: Simplify and find the answer by adding the given 3 fraction numbers 1/5 + 4/5 + 1/2?

Solution: The first step is to add the first two fraction numbers which have the same denominator 5.
This gives 1/5 + 4/5 = 5/5; this further simplifies as 5/5 = 1.
Later add the fraction 1/2 to the derived answer 2
Which is in turn equal to 1 + 1/2. LCM is 2.
Using the common denominator as 2, 2/2 + 1/2 = 3/2
Therefore, this gives adding the three fractions 1/5 + 4/5 + 1/2 = 3/2.


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