document.write( "Question 1016892: I am really having trouble finding the fractional part of a circle.. Ex. I have 1 whole circle... 3/7 and 1/4 are taken..how do I find out what the remaining shaded part is? \n" ); document.write( "
Algebra.Com's Answer #633237 by Theo(13342)![]() ![]() You can put this solution on YOUR website! 3/7 and 1/4 are taken out of 1.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your solution should be 1 - 3/7 - 1/4.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "find a common denominator.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "it helps if it's the least common denominator, but it doesn't have to be.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "since your denominators are 1,4,7, then the least common denominator will probably be 28.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "multiples of 4 are 4,8,12,16,20,24,28 \n" ); document.write( "common multiples of 7 are 7,14,21,28 \n" ); document.write( "multiples of 1 are 1,2,3,4,5,......,28\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "looks like 28 is the least common multiple.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1 is equivalent to 28/28 because 1/1 * 28/28 is equal to 28/28. \n" ); document.write( "1/4 is equivalent to 7/28 because 1/4 * 7/7 = 7/28. \n" ); document.write( "3/7 is equivalent to 12/28 because 3/7 * 4/4 = 12/28.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "so, inste4ad of 1 - 1/4 - 3/7, you have 28/28 - 7/28 - 12/28 which is equal to (28 - 7 - 12) / 28 which is equal to (28 - 19) / 28 which is equal to 9/28.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you can use your calculator to confirm that you did it right.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "use your calculator to get 3/7 + 1/4 + 9/28 = 1.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "this confirms that you did the calculations correctly.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "adding or subtracting any fraction requires you to convert all the fractions to a common denominator.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if they're simple, like adding 1/2 and 3/4, you can probably do the conversion in your head.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if they're more complex, as in this one, then taking the time to convert them on paper is definitely the time required to do so.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |