document.write( "Question 392010: Add and express in lowest terms. I need to show all work and not sure how to do this.\r
\n" ); document.write( "\n" ); document.write( "4 1/4 + 5 1/9 + 6 1/2.
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Algebra.Com's Answer #278195 by Earlsdon(6294)\"\" \"About 
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Add:
\n" ); document.write( "\"4\"\"1%2F4\"+\"5\"\"1%2F9\"+\"6\"\"1%2F2\"
\n" ); document.write( "Method 1) First, convert all of these mixed numbers to improper fractions.
\n" ); document.write( "\"17%2F4%2B46%2F9%2B13%2F2\" Next, find the common denominator (least common multiple of 4, 9, and 2). This will be a number that will be divisible by 2, 4, and 9.
\n" ); document.write( "It looks like 36 will. I found this by multiplying 4X9 = 36 and this is divisible by all three numbers.
\n" ); document.write( "Convert the improper fractions so they all have the common denominator of 36.
\n" ); document.write( "\"17%289%29%2F4%289%29+%2B+46%284%29%2F9%284%29+%2B+13%2818%29%2F2%2818%29\"=\"153%2F36%2B184%2F36%2B234%2F36\"=\"571%2F36\"
\n" ); document.write( "Now convert this to a mixed number by diving 571 by 36 and putting the remainder (if there is one) over 36.
\n" ); document.write( "\"15\"\"31%2F36\"
\n" ); document.write( "Method 2)
\n" ); document.write( "Add the integer parts:
\n" ); document.write( "\"4%2B5%2B6+=+15\" Then add the fractional parts using the method above to find the common denominator of 36.
\n" ); document.write( "=\"31%2F36\" now add this to the integer sum of 15 to get:
\n" ); document.write( "\"15\"\"31%2F36\"
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