document.write( "Question 540377: Can someone please help me with this problem?
\n" ); document.write( "1 1/5 + 8 3/14 x = 1 1/30 \n" ); document.write( "

Algebra.Com's Answer #353682 by KMST(5328) $\"\"$ $\"About$

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$\"1%261%2F5+%2B+8%263%2F14+x+=+1%261%2F30\"$ ?
\n" ); document.write( "Mixed numbers are usually bad news in algebra. We like to transform them into improper fractions right away. An then we don't like fraction very much, so we tend to multiply everything by a common multiple of the denominators to eliminate those pesky denominators.
\n" ); document.write( "In this case, maybe we could use those mixed numbers for a little while. I'll write the equation as
\n" ); document.write( " $\"%281%2B1%2F5%29+%2B+8%263%2F14+x+=+1%2B1%2F30\"$
\n" ); document.write( "Then I'll subtract 1+1/5 from both sides
\n" ); document.write( " $\"8%263%2F14+x+=+1%2B1%2F30-%281%2B1%2F5%29\"$ ---> $\"8%263%2F14+x+=+1%2B1%2F30-1-1%2F5%29\"$ --> $\"8%263%2F14+x+=+1%2F30-1%2F5\"$
\n" ); document.write( "And calculating on the right hand side
\n" ); document.write( " $\"8%263%2F14+x+=+1%2F30-6%2F30\"$ --> $\"8%263%2F14+x+=+-5%2F30\"$ --> $\"8%263%2F14+x+=+-1%2F6\"$
\n" ); document.write( "It turn out to simplify nicely. Now we have to convert mixed number $\"8%263%2F14\"$
\n" ); document.write( "into an improper fraction.
\n" ); document.write( " $\"8%263%2F14=8%2B3%2F14=112%2F14%2B3%2F14=115%2F14\"$
\n" ); document.write( "So our equation is
\n" ); document.write( " $\"115%2F14+x+=+-1%2F6\"$ and dividing both sides by 115/14 we get
\n" ); document.write( " $\"+x+=+%28-1%2F6%29%2F%28115%2F14%29\"$ and calculating the right hand side
\n" ); document.write( " $\"+x+=+%28-1%2F6%29%2A%2814%2F115%29\"$ --> $\"+x=+-%287%29%2F%283%2A115%29\"$ --> $\"+x=+-7%2F345\"$ \n" ); document.write( "

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