SOLUTION: Can someone please explain to me how to solve this type of problem. 3/4 = (4n-1)/6

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Question 315866: Can someone please explain to me how to solve this type of problem.
3/4 = (4n-1)/6

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
3%2F4+=+%284n-1%29%2F6
cross multiply
4(4n - 1) = 3 * 6
:
16n - 4 = 18
;
16n = 18 + 4
:
16n = 22
:
n = 22%2F16
n = 11%2F8
:
:
Check solution in original equation
3%2F4+=+%284%2811%2F8%29-1%29%2F6
cancel 4
3%2F4+=+%28%2811%2F2%29-1%29%2F6
save some typing by using decimals
3%2F4+=+%285.5-1%29%2F6
3%2F4+=+4.5%2F6
.75 = .75; confirms our solution