document.write( "Question 1202921: Dhruv bought some white sugar and some brown sugar. He used an equal amount of white and brown sugar. He had 3/5 of the while sugar and 1/2 of the brown sugar left. What fraction of the sugar which Dhruv bought was used?\r
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document.write( "(1) 4/7\r
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document.write( "(2) 4/9\r
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document.write( "(3) 5/11\r
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document.write( "(4) 7/10
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Algebra.Com's Answer #838132 by math_tutor2020(3820) ![]() You can put this solution on YOUR website! \n" ); document.write( "Answer: 4/9\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Explanation:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "He has 3/5 of the white sugar left over, so 2/5 of it was used. \n" ); document.write( "He also used up 1/2 of the brown sugar.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Normally when it comes to fractions we try to get the denominators to be the same (often the LCD). \n" ); document.write( "In this rare case, I'll make the numerators equal to a common multiple. \n" ); document.write( "I'll go with 2 as this common numerator. \n" ); document.write( "2/5 stays the same \n" ); document.write( "1/2 becomes 2/4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Dhruv used 2/5 of the white sugar and 2/4 of the brown sugar. \n" ); document.write( "The reason I made the numerators the same was because he used an equal amount of sugar from each type. \n" ); document.write( "So that's why I want those '2's to match up.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "He used up 2+2 = 4 parts of sugar out of 5+4 = 9 parts total. \n" ); document.write( "Therefore we arrive at 4/9 to represent the fractional amount of sugar used. \n" ); document.write( " \n" ); document.write( " |