document.write( "Question 4084: Upon his death, Mr. Haller left one-half of his estate to his wife, one-ninth of his estate to each of his three children,
\n" ); document.write( "one-twenty-fourth of his estate to each of his three grandchildren, and the remaining $18,000 to his favorite charity.
\n" ); document.write( "What was the value of his estate?
\n" ); document.write( "

Algebra.Com's Answer #1864 by WannabeCAgirl83(35)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "You have...\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "1/2
\n" ); document.write( "1/9 ∙ 3
\n" ); document.write( "1/24 ∙ 3 \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "3 is nothing other than 3/1, so you have...\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "1/2
\n" ); document.write( "1/9 ∙ 3/1
\n" ); document.write( "1/24 ∙ 3/1\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Step # 1
\n" ); document.write( "Multiplying the given fractions:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "1/2
\n" ); document.write( "1/9 ∙ 3/1 = 3/9 (rule for multiplication: numerator ∙ numerator, denominator ∙ denominator)
\n" ); document.write( "1/24 ∙ 3/1 = 3/24\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Step # 2
\n" ); document.write( "Finding a common denominator:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "You need to add these fractions together later on. In order to add fractions together, all of them must have the same denominator. The least common denominator for those 3 fractions is 72...\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "1/2 ∙ 36/36 = 36/72
\n" ); document.write( "3/9 ∙ 8/8 = 24/72
\n" ); document.write( "3/24 ∙ 3/3 = 9/72\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Step # 3
\n" ); document.write( "Adding fractions together:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Now as all 3 fractions have the same denominator, you can add them together...\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "36/72 + 24/72 + 9/72 = 69/72 (rule for addition: numerator + numerator, denominator stays unchanged)\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Step # 4
\n" ); document.write( "Finding the difference between 69/72 and “the whole” (72/72):\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "69/72 = the amount Mr. Haller gave to his wife, children and grand children
\n" ); document.write( "72/72 = the whole amount his estate is worth
\n" ); document.write( "the difference between 69/72 and 72/72 = the remaining $ 18,000 he gave to his favorite charity\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "In order to find the difference you subtract 69/72 from 72/72...\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "72/72 – 69/72 = 3/72 (rule for subtraction: numerator – numerator, denominator stays unchanged)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "3/72 = the remaining $ 18,000 he gave to his favorite charity\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Step # 5
\n" ); document.write( "Dividing 69 (from 69/72) by 3 (from 3/72):\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "69 : 3 = 23\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Step # 6
\n" ); document.write( "Multiplying 18,000 by 23 in order to find the amount of “the whole” (72/72):\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "18,000 ∙ 23 = 414,000\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Answer: The value of his estate was $ 414,000. (72/72 = 414,000)
\n" ); document.write( "
\n" ); document.write( "
\n" );