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Monica [59]
3 years ago
11

How to add fractions?

Mathematics
2 answers:
12345 [234]3 years ago
7 0
To add fractions by hand:
1) Make sure that they have the same denominator. If not, first start by finding a common denominator.
Ex. Let's find the sum of \frac{1}{2} +  \frac{1}{4}, which have different denominators. To give them the same denominator, you need to multiply both or one of the fractions by a number over itself (aka 1) to get the same denominator. Since the least common multiple of 2 and 4 is 4, you need to multiply 1/2 by 2/2 (aka 1):
\frac{1}{2} + \frac{1}{4} \\
= (\frac{1}{2} \times  \frac{2}{2} ) +  \frac{1}{4} \\
=  \frac{2}{4}  +  \frac{1}{4}

2) Once you have the same denominator, add the numerators and put the sum over the denominator: 
\frac{2}{4} + \frac{1}{4} =  \frac{2+1}{4} =  \frac{3}{4}
ohaa [14]3 years ago
5 0
Adding Fractions with Unlike Denominators

If the denominators are not the same, then you have to use <span>equivalent fractions </span>which do have a common denominator. To do this, you need to find the <span>least common multiple </span>(LCM) of the two denominators.

To add fractions with unlike denominators, rename the fractions with a common denominator. Then add and simplify.


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