document.write( "Question 22793: I am trying to explain an answer to my son but I am having a hard time rememberng this from high school. The problem is:\r
\n" ); document.write( "\n" ); document.write( ".13 where the 3 goes on for infinity
\n" ); document.write( "He is to put the number in a fraction form\r
\n" ); document.write( "\n" ); document.write( "I thought it would be just 13/100 but I recall in his book last night (he didn't bring the book home tonight) that you multiply by 100 then subtract one so the answer would be something like 13/99?\r
\n" ); document.write( "\n" ); document.write( "Help.... \n" ); document.write( "

Algebra.Com's Answer #11145 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
Here's how you do these: To convert repeating decimals to an equivalent fraction, isolate the repeating group as an integer, in this case, the repeating group is .13, using the following technique:\r
\n" ); document.write( "\n" ); document.write( "Let:
\n" ); document.write( "n = 0.131313...Now multiply n by 100 to isolate the repeating group of .13
\n" ); document.write( "100n = 13.131313... Subtract n from 100n = 99n.\r
\n" ); document.write( "\n" ); document.write( "99n = 13.131313 -0.131313 = 13\r
\n" ); document.write( "\n" ); document.write( "So, 99n = 13 Divide both sides by 99
\n" ); document.write( "n = 13/99 but n is 0.131313...\r
\n" ); document.write( "\n" ); document.write( "So, 0.131313... = 13/99 Check this out on your calculator. \n" ); document.write( "

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