document.write( "Question 279865: 1/2 + (2/3÷3/4) -( 4/5 x 5/6 )= \n" ); document.write( "
Algebra.Com's Answer #203400 by JenniferTutors(83)\"\" \"About 
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For this equation:
\n" ); document.write( "1/2 + (2/3÷3/4) -( 4/5 x 5/6 )=\r
\n" ); document.write( "\n" ); document.write( "In the first parenthesis, you cannot divide fractions, you would multiply the reciprocal of the second fraction, shown below:
\n" ); document.write( " 3/4 changes to 4/3\r
\n" ); document.write( "\n" ); document.write( "\"%282%2F3%29%284%2F3%29\"\r
\n" ); document.write( "\n" ); document.write( "\"1%2F2+%2B+%282%2F3%29%284%2F3%29+-+%284%2F5%29%285%2F6%29\"\r
\n" ); document.write( "\n" ); document.write( "Next, multiply the first parenthesis: \"%282%2F3%29%284%2F3%29=8%2F9\"\r
\n" ); document.write( "\n" ); document.write( "\"1%2F2+%2B+%288%2F9%29+-+%284%2F5%29%285%2F6%29\"\r
\n" ); document.write( "\n" ); document.write( "Then multiply the second parenthesis: \"%284%2F5%29%285%2F6%29=20%2F30\" This can simplify to \"2%2F3\"\r
\n" ); document.write( "\n" ); document.write( "Now your equation looks like this:\r
\n" ); document.write( "\n" ); document.write( "\"1%2F2+%2B+8%2F9+-+2%2F3\"\r
\n" ); document.write( "\n" ); document.write( "To add these fractions, find a the lowest common denominator for the three numbers, in this case it is 18.\r
\n" ); document.write( "\n" ); document.write( "Change the fractions so the denominator equals 18, so you can add them after.\r
\n" ); document.write( "\n" ); document.write( "\"%281%2F2%29+x+%289%2F9%29+=+9%2F18\"
\n" ); document.write( "\"%288%2F9%29+x+%282%2F2%29+=+16%2F18\"
\n" ); document.write( "\"%282%2F3%29+x+%286%2F6%29+=+12%2F18\"\r
\n" ); document.write( "\n" ); document.write( "Now add the like fractions:\r
\n" ); document.write( "\n" ); document.write( "\"9%2F18+%2B+16%2F18+-+12%2F18\"\r
\n" ); document.write( "\n" ); document.write( "9 + 16 = 25
\n" ); document.write( "25 - 12 = 13\r
\n" ); document.write( "\n" ); document.write( "\"13%2F18\"
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