SOLUTION: -5/6x = -2 1/48 I tried to figure this out for a member in my youth group but I keep getting a different answer than the one she told me was right. Here's how I did it. -6/5

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Question 52955: -5/6x = -2 1/48
I tried to figure this out for a member in my youth group but I keep getting a different answer than the one she told me was right. Here's how I did it.
-6/5 * -5/6x = -2 1/48 *-6/5 (cancelling out the -5/6 from the left side)
x= -97/48 * -6/5
x= 582/240
x= 2 17/40
Is my answer right?
Answer by rchill(405) (Show Source):
You can put this solution on YOUR website!
Your logic is correct. To check your answer, substitute , or , into the original equation: . Now expand the equation to , which simplifies to . Note that reduces to when dividing both numerator and denominator by 5. Therefore, your answer is correct.