document.write( "Question 171842: how do you write 0.8...repeating as a fraction or mixed number in simplest form? \n" ); document.write( "
Algebra.Com's Answer #126934 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
Let x=0.8888... \r
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\n" ); document.write( "\n" ); document.write( "\"x=0.8888\" Start with the given equation\r
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\n" ); document.write( "\n" ); document.write( "\"10x=8.8888\" Multiply both sides by 10. The goal is to move the decimal point to the next repeating portion (which is just one spot to the right)\r
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\n" ); document.write( "\n" ); document.write( "Now subtract the equation \"x=0.8888\" from \"10x=8.8888\" to get\r
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\n" ); document.write( "\n" ); document.write( "\"10x-x=8.8888-0.8888\"\r
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\n" ); document.write( "\n" ); document.write( "\"9x=8\" Combine like terms. Notice how the decimal portions cancel out.\r
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\n" ); document.write( "\n" ); document.write( "\"x=8%2F9\" Divide both sides by 9 to isolate x\r
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\n" ); document.write( "\n" ); document.write( "So the answer is \"x=8%2F9\" which means that \"8%2F9=0.8888\" (where the 8's repeat)
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