SOLUTION: I dont understand how to divide inequalities. especially the following problem that has a lot of fractions 7/5(10m-1)<2/3(6m+5)

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Question 112969: I dont understand how to divide inequalities. especially the following problem that has a lot of fractions
7/5(10m-1)<2/3(6m+5)

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given inequality



Multiply both sides by the LCM of 15. This will eliminate the fractions (note: if you need help with finding the LCM, check out this solver)



Distribute and multiply the LCM to each side



Distribute


Add 21 to both sides


Subtract 60m from both sides


Combine like terms on the left side


Combine like terms on the right side


Divide both sides by 150 to isolate m



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Answer:
So our answer is (which is approximately in decimal form)

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