document.write( "Question 207029: (5/8)/(15/16)+(1/2) \n" ); document.write( "
Algebra.Com's Answer #156523 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"%285%2F8%29%2F%2815%2F16%29%2B1%2F2\" Start with the given expression.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%285%2F8%29%2A%2816%2F15%29%2B1%2F2\" Multiply the first fraction by the reciprocal of the second fraction.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%285%2F8%29%2A%28%288%2A2%29%2F%285%2A3%29%29%2B1%2F2\" Factor\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " Cancel out the common terms.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"2%2F3%2B1%2F2\" Simplify\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"4%2F6%2B1%2F2\" Multiply the first fraction by \"2%2F2\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"4%2F6%2B3%2F6\" Multiply the second fraction by \"3%2F3\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Since the denominators are equal, we can now add the fractions.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%284%2B3%29%2F6\" Combine the fractions by adding the numerators over the LCD.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"7%2F6\" Add\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So \"%285%2F8%29%2F%2815%2F16%29%2B1%2F2=7%2F6\"
\n" ); document.write( "
\n" );