Questions on Algebra: Radicals -- complicated equations involving roots answered by real tutors!

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Question 154432: Perform the indicated operations and write your result in lowest terms
2c/3 * 7/8c
I believe its 7/12
: Perform the indicated operations and write your result in lowest terms
2c/3 * 7/8c
I believe its 7/12

Answer by jim_thompson5910(9162) About Me  (Show Source):
You can put this solution on YOUR website!
((2c)/(3))*((7)/(8c)) Start with the given expression.


((2c)/(3))*((7)/(2*4c)) Factor 8c to get 2*4c


(2c*7)/(3*2*4c) Combine the fractions


(highlight(2)highlight(c)*7)/(3*highlight(2)*4highlight(c)) Highlight the common terms



(cross(2)cross(c)*7)/(3*cross(2)*4*cross(c)) Cancel out the common terms



7/(3*4) Simplify


7/12 Multiply


So ((2c)/(3))*((7)/(8c))=7/12 where c<>0. So you are correct.