document.write( "Question 52955: -5/6x = -2 1/48\r
\n" ); document.write( "\n" ); document.write( "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.\r
\n" ); document.write( "\n" ); document.write( "-6/5 * -5/6x = -2 1/48 *-6/5 (cancelling out the -5/6 from the left side)
\n" ); document.write( " x= -97/48 * -6/5
\n" ); document.write( " x= 582/240
\n" ); document.write( " x= 2 17/40
\n" ); document.write( "Is my answer right? \n" ); document.write( "

Algebra.Com's Answer #35312 by rchill(405) $\"\"$ $\"About$

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. \n" ); document.write( "

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