document.write( "Question 639587: 1. if you have 3 / 4 cup of flour how many eighths do you have?\r
\n" ); document.write( "\n" ); document.write( "2. if you 3/12 of an orange how many fourths do you have?
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Algebra.Com's Answer #402821 by Theo(13342)\"\" \"About 
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set up a ratio.
\n" ); document.write( "the first ratio is:
\n" ); document.write( "3/4 = x/8
\n" ); document.write( "cross multiply to get 4x = 24
\n" ); document.write( "divide both sides by 4 to get x = 6
\n" ); document.write( "your ratio becomes 3/4 = 6/8
\n" ); document.write( "the second ratio is:
\n" ); document.write( "3/12 = x/4
\n" ); document.write( "cross multiply to get 12x = 12
\n" ); document.write( "divide both sides by 12 to get x = 1
\n" ); document.write( "your ratio becomes 3/12 = 1/4\r
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\n" ); document.write( "\n" ); document.write( "another way of solving this is as follows:
\n" ); document.write( "for the first problem:
\n" ); document.write( "you want to know how many eighths in 3/4.
\n" ); document.write( "since 8 is 2 times 4, multiply numerator and denominator by 2 to get 3/4 = 6/8
\n" ); document.write( "this is because 2 * 3 = 6 (numerator) and 4 * 2 = 8 (denominator)
\n" ); document.write( "for the second problem:
\n" ); document.write( "you want to know how many fourths in 3/12.
\n" ); document.write( "since 12/3 = 4, you want to divide both numerator and denominator by 3 to get 3/12 = 1/4.
\n" ); document.write( "this is because 3 / 3 = 1 (numerator) and 12 / 3 = 4 (denominator).\r
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\n" ); document.write( "\n" ); document.write( "in both cases, you want to know what you want to do to the denominator to make the new denominator the value requested.\r
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\n" ); document.write( "\n" ); document.write( "in the first problem your original denominator is 4 and you have to multiply it by 2 to make the new denominator equal to 8.\r
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\n" ); document.write( "\n" ); document.write( "in the second problem your original denominator is 12 anbd you have to divide it by 3 to make the new de3nominator equal to 4.\r
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\n" ); document.write( "\n" ); document.write( "in order to keep the fraction the same value, you have to multiply or divide the numerator by the same factor.\r
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\n" ); document.write( "\n" ); document.write( "if you multiply the denominator by 2, you have to also multiply the numerator by 2 to keep the fraction the same.\r
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\n" ); document.write( "\n" ); document.write( "if you divide the denominator by 4, you have to also divide the numerator by 4 to keep the fraction the same.\r
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