SOLUTION: How can this fraction be reduced to lowest terms? 18x^2+21x (on top) 6x+7 (on bottom). Can this be reduced? thanks

Algebra ->  Rational-functions -> SOLUTION: How can this fraction be reduced to lowest terms? 18x^2+21x (on top) 6x+7 (on bottom). Can this be reduced? thanks       Log On


   

Question 118982: How can this fraction be reduced to lowest terms? 18x^2+21x (on top) 6x+7 (on bottom). Can this be reduced? thanks
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%2818x%5E2%2B21x%29%2F%286x%2B7%29 Start with the given expression

3x%286x%2B7%29%29%2F%286x%2B7%29 Factor 18x%5E2%2B21x to get 3x%286x%2B7%29


3x%286x%2B7%29%2F%286x%2B7%29 Combine the fractions


3x%2Across%28%286x%2B7%29%29%2Fcross%28%286x%2B7%29%29 Cancel like terms


3x%2F1 Simplify



3x Remove the denominator of 1


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Answer:

So %2818x%5E2%2B21x%29%2F%286x%2B7%29 simplifies to 3x. In other words %2818x%5E2%2B21x%29%2F%286x%2B7%29=3x