document.write( "Question 122256: 28 1/17 - 4/9 \n" ); document.write( "
Algebra.Com's Answer #93979 by JessicaGill(40)\"\" \"About 
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\"28\"\"1%2F17\"
\n" ); document.write( "-
\n" ); document.write( " \"4%2F9\"\r
\n" ); document.write( "\n" ); document.write( "The first thing to do is to convert the fractions to equivalent fractions with a common demoninator. Using the LCD or least common denominator we know that the smallest number that both 9 and 17 will go into is 153 so we can convert each of the fractions as such\r
\n" ); document.write( "\n" ); document.write( "\"1%2F17=9%2F153\" and \"4%2F9=68%2F153\"\r
\n" ); document.write( "\n" ); document.write( "now we have \"28\"\"9%2F153\"-\"68%2F153\"\r
\n" ); document.write( "\n" ); document.write( "Now we see that 68 is greater than 9 so we must \"borrow\" from the whole number 28 in fractional form. Similar to when borrowing in addition or subtraction of whole numbers. If we borrow 1 from the 28 and convert it to a fractional equvalent fraction we get \"153%2F153\" and add that to \"9%2F153\" it would equal \"162%2F153\"\r
\n" ); document.write( "\n" ); document.write( "So we now arrive at \"27\"\"162%2F153\"-\"68%2F153\"\r
\n" ); document.write( "\n" ); document.write( "Now we can perform the subtraction\r
\n" ); document.write( "\n" ); document.write( "0 from 27 is 27 and 162-68 equals 94 so we are left with \r
\n" ); document.write( "\n" ); document.write( "\"27\"\"94%2F153\"\r
\n" ); document.write( "\n" ); document.write( "Now we need to see if we can reduce the \"94%2F153\"\r
\n" ); document.write( "\n" ); document.write( "This fraction can not be reduced because there is no common multiple that 94 and 153 share so our final answer is \"27\"\"94%2F153\"\r
\n" ); document.write( "\n" ); document.write( "Thanks!
\n" ); document.write( "Ms. G
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