Adding fractions with unlike denominators

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The basic mathematical operations in math are addition, subtraction, multiplication and division. Addition is finding the total sum or combining the given numbers or quantities. Addition is denoted by the sign ‘+’. In addition order of the numbers doesn’t change the answer. 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. For adding two fractions with different denominators the LCM needs to be calculated.
Example 1: Simplify and find the answer by adding the two fraction numbers 3/5 + 1/2?
Solution: Given is to find the sum of 3/5 + 1/2.
The fractions have unlike denominator. So the LCM of 2 and 5 = 10.
The fractions are written using the LCM = 1/2 + 3/5 = 5/10 + 6/10 = 11/10.
Therefore, this gives adding the two fractions 3/5 + 1/2 = 11/10.
Question: Multiple choice question (Pick the correct option.)
What is the sum of adding the two fractions 1/3 + 1/4?
a)    7/12                b) 5/12                        c) 2/12            d) None of these.
Correct answer: option a.
Given is adding the fractions 1/3 + 1/4. Here both the fractions have unlike denominators.
The LCM of the denominators 3 and 4 is 12.
The denominators can be made alike by the LCM 12.
This gives 1/3 + 1/4 = 4/12 + 3/12 = 7/12.
Therefore, this gives adding the two fractions 1/3 + 1/4= 7/12.

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