document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1022846>Question 1022846</A>: <I><SPAN STYLE=\"word-break: break-all;\"> My sister is 9 1/2 years old. My brother is 4 3/4 years younger than my sister how old is my brother show me the answer and how to get it </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #638483 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=638483\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> sister is 9 and 1/2 years old.<BR>\n" );
document.write( "brother is 4 and 3/4 years younger than sister.\r<BR>\n" );
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document.write( "you need to subtract 4 and 3/4 from 9 and 1/2 to get the brother's age.\r<BR>\n" );
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document.write( "you can convert them both to improper fractions first of all.\r<BR>\n" );
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document.write( "9 and 1/2 is equal to (2 * 9 + 1) / 2 = 19/2.\r<BR>\n" );
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document.write( "4 and 3/4 is equal to (4 * 4 + 3) / 4 = 19/4.\r<BR>\n" );
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document.write( "now you want to convert them both to fractions with the same denominator.\r<BR>\n" );
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document.write( "19/2 * 2/2 = 38/4.\r<BR>\n" );
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document.write( "you now have 38/4 is the age of the sister, and 19/4 is how much younger the brother is.\r<BR>\n" );
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document.write( "now subtract the number of years that the brother is younger to get:\r<BR>\n" );
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document.write( "38/4 - 19/4 = 19/4.\r<BR>\n" );
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document.write( "the brother is 19/4 years old.\r<BR>\n" );
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document.write( "convert that to a mixed fraction and you get:\r<BR>\n" );
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document.write( "the brother is 4 and 3/4 years old.\r<BR>\n" );
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document.write( "it looks like the brother is just half the age of the sister.\r<BR>\n" );
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document.write( "you can always confirm using your calculator.\r<BR>\n" );
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document.write( "the sister is 9 and 1/2 years old.\r<BR>\n" );
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document.write( "convert that to a decimal and you get 9 and 1/2 = 19/2 = 9.5 years old.\r<BR>\n" );
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document.write( "4 and 3/4 years is equal to 19/4 = 4.75 years.\r<BR>\n" );
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document.write( "9.5 years minus 4.75 years is equal to 4.75 years.\r<BR>\n" );
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document.write( "the brother is 4.75 years old.\r<BR>\n" );
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document.write( "this is exactly half of 9.5 because 4.75 / 9.5 = 1/2.\r<BR>\n" );
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document.write( "the calculator confirms the manual solution is correct.\r<BR>\n" );
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document.write( "presumably this was a lesson in subtracting mixed fractions.\r<BR>\n" );
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document.write( "there are other ways of doing mixed fractions.\r<BR>\n" );
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document.write( "here's another.\r<BR>\n" );
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document.write( "you want to subtract 4 and 3/4 from 9 and 1/2.\r<BR>\n" );
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document.write( "comvert the fractions to the same common denominator.\r<BR>\n" );
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document.write( "you want to subtract 4 and 3/4 from 9 and 2/4.\r<BR>\n" );
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document.write( "since you want to subtract 3/4 from 2/4, you need to borrow a whole number so that the fractional part of the number you want to subtract from is bigger than the fractional part of the number you want to subtract.\r<BR>\n" );
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document.write( "from 9 and 2/4, borrow 1 and convert it to 4/4 and add it to 2/4.\r<BR>\n" );
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document.write( "the result sill be 8 and 6/4.\r<BR>\n" );
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document.write( "you subtracted 1 from the whole part of the number and you added the equivalent value of 4/4 to the fractional part of the number.\r<BR>\n" );
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document.write( "now you want to subtract 4 and 3/4 from 8 and 6/4.\r<BR>\n" );
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document.write( "subtract the whole parts and subtract the fractional parts and then combine them into your answer.\r<BR>\n" );
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document.write( "8 minus 4 = 4.\r<BR>\n" );
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document.write( "6/4 - 3/4 = 3/4.\r<BR>\n" );
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document.write( "your answer is 4 and 3/4.\r<BR>\n" );
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document.write( "i personally prefer to make them improper fractions and then give them the same common denominator and then do the subtraction.\r<BR>\n" );
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document.write( "this other method also works.\r<BR>\n" );
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document.write( "it's according to your preference.\r<BR>\n" );
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document.write( "the logic of the problem says that if i'm a certain age, and you're a certain number of years younger than me, then you age has to be my age minus the difference in the number of years.\r<BR>\n" );
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document.write( "example:\r<BR>\n" );
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document.write( "i'm 18 and you're 6 years younger.<BR>\n" );
document.write( "your age is 18 - 6 = 12.<BR>\n" );
document.write( "i'm 18 and you're 12.<BR>\n" );
document.write( "you have to be 18 - 12 = 6 years younger.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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