SOLUTION: I appreciate your help! I am trying to find the value for x but can not figure out how to solve this problem. Here it is: 3/4 / 4/5 = 5/6 / x Thanks! Laura

Algebra ->  Algebra  -> Proportions -> SOLUTION: I appreciate your help! I am trying to find the value for x but can not figure out how to solve this problem. Here it is: 3/4 / 4/5 = 5/6 / x Thanks! Laura      Log On

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Question 26935: I appreciate your help! I am trying to find the value for x but can not figure out how to solve this problem. Here it is:
3/4 / 4/5 = 5/6 / x
Thanks!
Laura
Answer by bmauger(101) About Me  (Show Source):
You can put this solution on YOUR website!
It helps if you write your problem with parentheses, but I'll presume you're asking to solve for:
%283%2F4%29%2F%284%2F5%29=%285%2F6%29%2Fx This problem is best attacked by cross multiplying which is multiplying the numerator of one side of the equation by the denominator of the other and setting that equal to the product of the other denominator/numerator pair, e.g.:
If a%2Fb=c%2Fd then ad=bc
For your problem you would get:
%283%2F4%29x=%284%2F5%29%285%2F6%29 Multiplying fractions on the right gives:
%283%2F4%29x=%282%2F3%29 Divide both sides by 3/4 (i.e. multiply both side by 4/3):
%284%2F3%29%283%2F4%29x=%282%2F3%29%284%2F3%29 Solve
x=8%2F9