SOLUTION: 3U/5-5/6=u/10

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Question 119207: 3U/5-5/6=u/10
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

3u%2F5-5%2F6=u%2F10 Start with the given equation



%2830%29%283u%2F5-5%2F6%29=%2830%29%28u%2F10%29 Multiply both sides by the LCM of 30. This will eliminate the fractions (note: if you need help with finding the LCM, check out this solver)



18u-25=3u Distribute and multiply the LCM to each side



18u=3u%2B25Add 25 to both sides


18u-3u=%2B25 Subtract 3u from both sides


15u=25 Combine like terms on the left side


u=%2825%29%2F%2815%29 Divide both sides by 15 to isolate u



u=5%2F3 Reduce

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Answer:
So our answer is u=5%2F3 (which is approximately u=1.66666666666667 in decimal form)