document.write( "Question 844757: Which number is between 0.5 and 8/9 ?\r
\n" ); document.write( "\n" ); document.write( "a. 7/24\r
\n" ); document.write( "\n" ); document.write( "b. 22/24\r
\n" ); document.write( "\n" ); document.write( "c. 19/24\r
\n" ); document.write( "\n" ); document.write( "d. 1/3
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Algebra.Com's Answer #508928 by KMST(5328)\"\" \"About 
You can put this solution on YOUR website!
\"0.5=1%2F2\" and \"8%2F9=1-1%2F9\" is greater than \"1%2F2\".
\n" ); document.write( "You should know that \"1%2F3%3C1%2F2\" and that \"7%2F24%3C12%2F24=1%2F2\" ,
\n" ); document.write( "so \"7%2F24\" and \"1%2F3\" are not between \"0.5\" and \"8%2F9\" .
\n" ); document.write( "The other two fractions are greater than \"1%2F2\" , because
\n" ); document.write( "\"22%2F24%3E19%2F24%3E12%2F24=1%2F2\" .
\n" ); document.write( "\"22%2F24=11%2F12=1-1%2F12\" is greater than \"8%2F9=1-1%2F9\" because \"1%2F12%3C1%2F9\" ,
\n" ); document.write( "and since \"non of the above\" is not a choice, the answer is \"highlight%2819%2F24%29\" .
\n" ); document.write( "For a multiple choice test, the reasoning above gets you to the answer faster.
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\n" ); document.write( "ANOTHER WAY:
\n" ); document.write( "Maybe you were expected to express all those fractions with \"72\" as a common denominator,
\n" ); document.write( "but that as a way to the answer that is neither quick and efficient, nor smart, nor enjoyable:
\n" ); document.write( "\"0.5=1%2F2=1%2A36%2F%282%2A36%29=36%2F72\"
\n" ); document.write( "\"8%2F9=8%2A8%2F%289%2F8%29=64%2F72\"
\n" ); document.write( "\"7%2F24=7%2A3%2F%2824%2A3%29=21%2F72%3C36%2F72=0.5\"
\n" ); document.write( "\"22%2F24=22%2A3%2F%2824%2A3%29=66%2F72%3E64%2F72=8%2F9\"
\n" ); document.write( "\"1%2F3=1%2A24%2F%283%2A24%29=24%2F72%3C36%2F72=0.5\"
\n" ); document.write( "
\n" ); document.write( "\"highlight%2819%2F24%29=19%2A3%2F%2824%2A3%29=57%2F72\" and since \"0.5=36%2F72%3C57%2F72%3C64%2F72=8%2F9\" ,
\n" ); document.write( "\"highlight%2819%2F24%29\" is the answer.
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