SOLUTION: how do you start solving the expression 3y+6 / 4y+8 20 8 do you find the LCD first or do you invert the second fraction first, and

Algebra ->  Expressions -> SOLUTION: how do you start solving the expression 3y+6 / 4y+8 20 8 do you find the LCD first or do you invert the second fraction first, and       Log On


   

Question 77346This question is from textbook beginning algebra
: how do you start solving the expression 3y+6 / 4y+8
20 8 do you find the LCD first or do you invert the second fraction first, and at what time do you start cross canceling? This question is from textbook beginning algebra

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28%283y%2B6%29%2F20%29%2F%28%284y%2B8%29%2F8%29 Start with the given equation

%28%283y%2B6%29%2F20%29%2A%288%2F%284y%2B8%29%29 When you divide fractions, you multiply the first fraction by the inverse of the 2nd fraction

%283%28y%2B2%29%2F20%29%2A%288%2F4%28y%2B2%29%29 Factor out 3 out of 3y+6 and 4 out of 4y+8

%283cross%28%28y%2B2%29%29%2F20%29%2A%288%2F4cross%28%28y%2B2%29%29%29 cancel like terms

%283%2Fcross%2820%29%29%2A%28cross%288%29%2F4%29 Notice 8 and 20 have a common factor of 4, divide both of these numbers by 4

%283%2F5%29%2A%282%2F4%29 Notice 2%2F4 reduces to 1%2F2

%283%2F5%29%2A%281%2F2%29
Now just multiply straight across
%283%2F10%29 This is your simplified result
Note: you don't need to find the LCD when multiplying or dividing fractions. The LCD is only needed when adding or subtracting fractions