SOLUTION: The reciprocal of b/a divided by the reciprocal of {{{2b/a^2}}} multiplied by the reciprocal of 3/a is the reciprocal of what number?
Algebra.Com
Question 1208626: The reciprocal of b/a divided by the reciprocal of multiplied by the reciprocal of 3/a is the reciprocal of what number?
Answer by greenestamps(13198) (Show Source): You can put this solution on YOUR website!
The reciprocal of b/a divided by the reciprocal of multiplied by the reciprocal of 3/a is the reciprocal of what number?
Dividing by the reciprocal of the fraction P/Q is the same as multiplying by the fraction P/Q. So change the statement of the problem to
The reciprocal of b/a multiplied by multiplied by the reciprocal of 3/a is the reciprocal of what number?
The reciprocal of b/a is a/b; the reciprocal of 3/a is a/3. So again change the statement of the problem to
a/b multiplied by multiplied by a/3 is the reciprocal of what number?
Now perform that multiplication:
(a/b)(2b/a^2)(a/3) = (2a^2b)/(3a^2b) = 2/3
2/3 is the reciprocal of 3/2
ANSWER: 3/2
RELATED QUESTIONS
what is the reciprocal of... (answered by Alan3354)
The reciprocal of half a number increased by half the reciprocal of the number is 1/2.... (answered by solver91311)
The reciprocal of half a number increased by half the reciprocal of the number is 1/2.... (answered by ankor@dixie-net.com)
The reciprocal of -2... (answered by piglet162431)
The reciprocal of -2... (answered by Abbey,mdlamkin,MathTherapy)
Find the reciprocal of reciprocal 3-i/2 (answered by josgarithmetic,MathTherapy)
The reciprocal of 6 plus the reciprocal of 8 is the reciprocal of what... (answered by SoOoDumb)
The reciprocal of 6 plus the reciprocal of 8 is the reciprocal of what... (answered by jim_thompson5910)
The reciprocal of 6 plus the reciprocal of 8 is the reciprocal of what... (answered by stanbon)