document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=389449>Question 389449</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Simplify: 1 1/15+3 3/10-2 4/5<BR>\n" );
document.write( "Could someone show me how to do this I must show all work and do not understand how to do this. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #275981 by </B><A HREF=/tutors/aboutme.mpl?userid=gwendolyn><B>gwendolyn(128)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=gwendolyn><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=gwendolyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=275981\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Generally, the first thing you want to do when working with \"mixed numbers\" <BR>\n" );
document.write( "(such as 1 and 1/15) is to convert them to fractions without a whole number.<BR>\n" );
document.write( "To do this, we will create \"improper fractions\" which have numerators <BR>\n" );
document.write( "larger than the denominators. We do this by multiplying each whole number<BR>\n" );
document.write( "by 1, where the 1 is represented by the denominator divided by the denominator <BR>\n" );
document.write( "of the attached fraction. It's easier to show it:\r<BR>\n" );
document.write( "\n" );
document.write( "1 and 1/15 is the same as <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2A%2815%2F15%29+%2B+1%2F15 ALIGN=MIDDLE  ALT=\"1%2A%2815%2F15%29+%2B+1%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Adding the numerators we get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%2F15 ALIGN=MIDDLE  ALT=\"16%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "3 and 3/10 is the same as:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A%2810%2F10%29+%2B+3%2F10 ALIGN=MIDDLE  ALT=\"3%2A%2810%2F10%29+%2B+3%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%2F10+%2B+3%2F10 ALIGN=MIDDLE  ALT=\"30%2F10+%2B+3%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=33%2F10 ALIGN=MIDDLE  ALT=\"33%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "2 and 4/5 is the same as:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A%285%2F5%29+%2B+4%2F5 ALIGN=MIDDLE  ALT=\"2%2A%285%2F5%29+%2B+4%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2F5+%2B+4%2F5 ALIGN=MIDDLE  ALT=\"10%2F5+%2B+4%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "14/5\r<BR>\n" );
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document.write( "So, to restate the problem in improper fractions:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%2F15+%2B+33%2F10+%2B+14%2F5 ALIGN=MIDDLE  ALT=\"16%2F15+%2B+33%2F10+%2B+14%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Now, to add fractions, we need to find the least common denominator.\r<BR>\n" );
document.write( "\n" );
document.write( "15 has 3,5 as factors<BR>\n" );
document.write( "10 has 2,5 as factors<BR>\n" );
document.write( "5 has   5 as a factor\r<BR>\n" );
document.write( "\n" );
document.write( "So, if we multiply 3,5, and 2 together to get 30, each of the denominators should go evenly into that number.\r<BR>\n" );
document.write( "\n" );
document.write( "Put each of the terms using the least common denominator:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%2F15+%2B+33%2F10+-+14%2F5 ALIGN=MIDDLE  ALT=\"16%2F15+%2B+33%2F10+-+14%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "30/15 = 2<BR>\n" );
document.write( "30/10 = 3<BR>\n" );
document.write( "30/5 = 6\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2816+%2A+2%29%2F%2815+%2A+2%29+%2B+%2833+%2A+3%29%2F%2810%2A3%29+-+%2814+%2A+6%29%2F%285+%2A+6%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=32%2F30+%2B+99%2F30+-+84%2F30 ALIGN=MIDDLE  ALT=\"32%2F30+%2B+99%2F30+-+84%2F30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Since the demoninators are the same, we can combine the numerators now:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2832+%2B+99+-+84%29%2F30 ALIGN=MIDDLE  ALT=\"%2832+%2B+99+-+84%29%2F30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "47/30\r<BR>\n" );
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document.write( "Or, converting back to a mixed number:<BR>\n" );
document.write( "30/30 and 17/30<BR>\n" );
document.write( "1 and 17/30\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );