document.write( "Question 1066079: Use the infinite geometric sum formula to write 0.757575... as a fraction in reduced form. Show all steps neatly. \n" ); document.write( "
Algebra.Com's Answer #681254 by math_helper(2461)\"\" \"About 
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If |r| < 1 then \"+sum%28a%2Ar%5En%29++=+a%2F%281-r%29+\" \r
\n" ); document.write( "\n" ); document.write( "We have a=75/100
\n" ); document.write( " r = 1/100\r
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\n" ); document.write( "\n" ); document.write( "—
\n" ); document.write( "Answer is \"highlight%2875%2F99%29\"\r
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\n" ); document.write( "Check: One way is to just divide 75/99 to see it gives you 0.75757575…\r
\n" ); document.write( "\n" ); document.write( "Another way is as follows (this works on any decimal that repeats):
\n" ); document.write( " Let n = 0.75757575….
\n" ); document.write( " 100n = 75.757575...
\n" ); document.write( " Subtract top from bottom (all numbers to the right of decimal cancel):
\n" ); document.write( " 99n = 75 —> n=75/99 \r
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