How do you add two fractions? I have a fraction I am trying to solve. I know the answer already, as

veneciasp 2022-07-02 Answered
How do you add two fractions?
I have a fraction I am trying to solve. I know the answer already, as Wolfram says it is 143 300 .
The fraction is:
5 12 + 3 50 =   ?
Please explain why and how your method works.
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Answers (2)

Immanuel Glenn
Answered 2022-07-03 Author has 12 answers
Null has given you a good way. Here's a way without worrying about the LCM:
a b + c d = a d + b c b d
In the example,
5 12 + 3 50 = ( 5 ) ( 50 ) + ( 12 ) ( 3 ) ( 12 ) ( 50 ) = 286 600 = 143 300
The price of not worrying about the LCM is that you get an answer 286 / 600 , that isn't in lowest terms, so you have the extra step at the end of reducing the fraction.
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Rebecca Villa
Answered 2022-07-04 Author has 3 answers
The fractions need to have the same denominator in order to add them together. The denominator must be the least common multiple of the two denominators, or a multiple of it. The least common multiple of 12 and 50 is 300.
First multiply 5 / 12 by 25 / 25. Since 25 / 25 = 1 the product is the same as the original fraction. You simply multiply the numerators together and the denominators together:
5 12 × 25 25 = 125 300
Then multiply 3 / 50 by 6 / 6 . Again, the product is the same as the original fraction:
3 50 × 6 6 = 18 300
Now both fractions have the same denominator and you can simply add the numerators:
125 300 + 18 300 = 143 300
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