SOLUTION: Divide: (4m + 16) / (10) / (3m + 12) / (18) a) 12 / 5 b) (m + 4)^2 / 15 c) 15 / (m + 4)^2 d) 5 /12

Algebra ->  Rational-functions -> SOLUTION: Divide: (4m + 16) / (10) / (3m + 12) / (18) a) 12 / 5 b) (m + 4)^2 / 15 c) 15 / (m + 4)^2 d) 5 /12      Log On


   

Question 318578: Divide: (4m + 16) / (10) / (3m + 12) / (18)
a) 12 / 5
b) (m + 4)^2 / 15
c) 15 / (m + 4)^2
d) 5 /12
Found 2 solutions by Fombitz, JBarnum:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Dividing by a fraction is the same as multiplying by its reciprocal,




%28%284m+%2B+16%29%2F%2810%29%29%2F%28%283m+%2B+12%29%2F%2818%29%29=+12%2F5
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.
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a) is the correct answer.

Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
%28%284m%2B16%29%2F%2810%29%29%2F%28%283m%2B12%29%2F%2818%29%29 seperate into a fraction divided by a fraction
%28%284m%2B16%29%2F%2810%29%29%2A%28%2818%29%2F%283m%2B12%29%29 use the multiply by reciprical property
%28%284%28m%2B4%29%29%2F%2810%29%29%2A%28%2818%29%2F%283%28m%2B4%29%29%29 factor out the 3 and the 4
%284%2A2%2A3%2A3%28m%2B4%29%29%2F%282%2A5%2A3%28m%2B4%29%29 factor the numbers to see whats incommon
%2812%2A6%28m%2B4%29%29%2F%285%2A6%28m%2B4%29%29 i multiplied them to show you what i will be canceling
%2812%2Across%286%28m%2B4%29%29%29%2F%285%2Across%286%28m%2B4%29%29%29 shows cancelation
highlight%2812%2F5%29 this is all thats left over