document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=566340>Question 566340</A>: <I><SPAN STYLE=\"word-break: break-all;\"> i can not figure out 7 4/5 times 2 1/3. could you please help me<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #366198 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=366198\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To do this multiplication in fractional form, first convert the two numbers to improper fractions. We'll do that one at a time.<BR>\n" );
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document.write( "First, let's convert <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7+%26+4%2F5 ALIGN=MIDDLE  ALT=\"7+%26+4%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > to an improper fraction. Do that by multiplying the denominator 5 times the whole number 7 to get 35 and then add the 4 to the 35 to get an answer of 39. The 39 is then placed over the denominator 5 to get the improper fraction <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=39%2F5 ALIGN=MIDDLE  ALT=\"39%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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document.write( "Note that you can check this by dividing 5 into 39 and you get 7 with a remainder of 4.<BR>\n" );
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document.write( "Next let's convert the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2+%26+1%2F3 ALIGN=MIDDLE  ALT=\"2+%26+1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > into an improper fraction. Use the same process as we did earlier. Multiply the denominator 3 times the whole number 2 to get 6 and then add the numerator 1 to the 6 to get 7. So the improper fraction that results is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F3 ALIGN=MIDDLE  ALT=\"7%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Check by dividing 3 into 7 and you get 2 with a remainder 1 (the whole number and the numerator).<BR>\n" );
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document.write( "Now we multiply the two improper fractions as follows:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2839%2F5%29%2A%287%2F3%29 ALIGN=MIDDLE  ALT=\"%2839%2F5%29%2A%287%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "We multiply the two numerators together. 39 times 7 gives a product of 273.<BR>\n" );
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document.write( "Then we multiply the two denominators together. 5 times 3 is 15.<BR>\n" );
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document.write( "The answer we got for the product of the two improper fractions is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=273%2F15 ALIGN=MIDDLE  ALT=\"273%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" > as shown below:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287+%26+4%2F5%29%2A%282+%26+1%2F3%29=+273%2F15 ALIGN=MIDDLE  ALT=\"%287+%26+4%2F5%29%2A%282+%26+1%2F3%29=+273%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Now we can convert this Improper fraction (meaning the numerator is bigger than the denominator) back into a mixed number by dividing 15 into 273. 15 goes into 273 18 times with a remainder of 3. So the answer 273 divided by 15 results in the following mixed number:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18+%26+3%2F15 ALIGN=MIDDLE  ALT=\"18+%26+3%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "But the 3 over 15 can be reduced to 1 over 5 by dividing both the numerator 3 and the denominator 15 by 3.<BR>\n" );
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document.write( "So the final answer for the multiplication is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18+%26+1%2F5 ALIGN=MIDDLE  ALT=\"18+%26+1%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Hope this helps you understand the following points:<BR>\n" );
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document.write( "1. You convert a mixed number (a whole number and a fraction) to an improper number (single fraction with a numerator bigger that its denominator) by multiplying the denominator of the fraction times the whole number, then adding the numerator of the fraction, and then placing the result over the denominator.<BR>\n" );
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document.write( "2. To multiply two mixed numbers, convert both of those two numbers to improper fractions.<BR>\n" );
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document.write( "3. Multiply the two numerators of the improper fractions together and get the numerator product.<BR>\n" );
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document.write( "4. Multiply the two denominators of the improper fractions together and get the denominator product.<BR>\n" );
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document.write( "5. Form a new fraction consisting of the numerator product over the denominator product.<BR>\n" );
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document.write( "6. Convert the answer back to a mixed number by dividing the denominator product into the numerator product to get the whole number part. Then place the remainder over the denominator product to get the fractional part and reduce it if possible.<BR>\n" );
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