Question 398126: How can I determine the LCD by inspection and by division of prime numbers, such as 3/4,7/12,5/6,1/5?
Thank you very much.
Ellie
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! How can I determine the LCD by inspection and by division of prime numbers, such as 3/4,7/12,5/6,1/5?
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Prime factor form of the denominators:
4 = 2^2
12 = 2^2*3
6 = 2*3
5 = 5
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The LCD must contain each prime factor in its highest power:
LCD = 2^2*3*5 = 60
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Convert each fraction to a fraction with the LCD as its denominator:
3/4 = (3/4)(15/15) = 12/60
7/12 = (7/12)(5/5) = 35/60
5/6 = (5/6)(10/10) = 50/60
1/5 = (1/5)(12/12) = 12/60
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cheers,
Stan H.
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