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

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> 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      Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!
Your logic is correct. To check your answer, substitute 2+17%2F40, or 97%2F40, into the original equation: -%285%2F6%29%2A%2897%2F40%29=-97%2F48. Now expand the equation to %28-5%2A97%29%2F%286%2A40%29=-97%2F48, which simplifies to -485%2F240=-97%2F48. Note that -485%2F240 reduces to -97%2F48 when dividing both numerator and denominator by 5. Therefore, your answer is correct.