document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=24030>Question 24030</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Express each ratio as a fraction in simplist form: <BR>\n" );
document.write( "155:220<BR>\n" );
document.write( "11 teachers to 275 students<BR>\n" );
document.write( "64inches to 1 1/2 feet <BR>\n" );
document.write( "45mins to 8hrs<BR>\n" );
document.write( "14oz to 5pds<BR>\n" );
document.write( ".65cents to $4.50<BR>\n" );
document.write( "18 weeks to one year </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #12735 by </B><A HREF=/tutors/aboutme.mpl?userid=PeterC><B>PeterC(8)</B></A><img src=\"/images/stars/stars-05.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=PeterC><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=12735\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Is this your entire list of homework problems for today?  I will do one of them, which, I hope, will enable you to do the others.\r<BR>\n" );
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document.write( "Let me mention two tricks that will help you with these.  First, a ratio a:b is equivalent to the fraction a/b.  The other thing to remember is that both quantities must be in the same unit.  For example, you convert hours to minutes by multiplying the hours by 60 minutes/hour. So:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=45+min+%3A+8+hr+=+45+min+%2F+%288+hr+%2A+%2860+min%2Fhr%29%29+=+45+min+%2F+480+min+=+45%2F480 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "To check whether you have converted correctly, make sure that your final answer is in the units you expect. In this case, we expect the final answer to be a ratio without any units. In the denominator we multiply hr by min/hr to get min, and when we divide min (in the numerator) by min (in the denominator) we are left with a unitless value.\r<BR>\n" );
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document.write( "Oh, I almost forgot: To reduce these fractions to their simplest form, you can factor each number into all its primes, and eliminate corresponding factors from the numerator and denominator:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=45+=+3+%2A+3+%2A+5 ALIGN=MIDDLE  ALT=\"45+=+3+%2A+3+%2A+5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=480+=+2%5E5+%2A+3+%2A+5 ALIGN=MIDDLE  ALT=\"480+=+2%5E5+%2A+3+%2A+5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+45%2F480+=+%283+%2A+%283%2A5%29%29+%2F+%2832+%2A+%283%2A5%29%29+=+3%2F32 ALIGN=MIDDLE  ALT=\"+45%2F480+=+%283+%2A+%283%2A5%29%29+%2F+%2832+%2A+%283%2A5%29%29+=+3%2F32\"   DISABLED_style= \"max-width:90%; height:auto;\" >  </SPAN>\n" );
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