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Algebra 19 Online
OpenStudy (anonymous):

Find the LCD of these fractions.4/5x^2y , 8/3xy , 12/13xy^5 A. 195xy B. 195xy5 C. 195x2y5 D. 195x4y7

jimthompson5910 (jim_thompson5910):

can you tell me what LCD stands for?

OpenStudy (anonymous):

least common something

jimthompson5910 (jim_thompson5910):

denominator

jimthompson5910 (jim_thompson5910):

LCD = least common denominator or LCD = lowest common denominator

OpenStudy (anonymous):

okay

jimthompson5910 (jim_thompson5910):

have you learned about LCM (lowest common multiple)?

OpenStudy (anonymous):

no

jimthompson5910 (jim_thompson5910):

say I have 2 numbers, 6 and 10, and I were to list out their multiples 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, ... 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100 what multiples do they share? what is the smallest multiple they both have in common?

OpenStudy (anonymous):

none

jimthompson5910 (jim_thompson5910):

compared the list of 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, ... with the list of 10, 20, 30, 40, 50, 60, 70, 80, 90, 100 what numbers are in both lists?

OpenStudy (anonymous):

30?

jimthompson5910 (jim_thompson5910):

good, 60 is also in there too but 30 is the smallest number that's in both lists

jimthompson5910 (jim_thompson5910):

those lists are multiples (first is of 6, second is of 10) so the LCM of 6 and 10 is 30

jimthompson5910 (jim_thompson5910):

see how that works out?

OpenStudy (anonymous):

yes i get it thank you soo much!

jimthompson5910 (jim_thompson5910):

you're welcome

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