document.write( "Question 1089498: [7/3÷{4/3+(4/3×16/5-16/5)}×9/5] \n" ); document.write( "
Algebra.Com's Answer #703914 by KMST(5328)\"\" \"About 
You can put this solution on YOUR website!
I would write it as
\n" ); document.write( "7/3÷[4/3+(4/3×16/5-16/5)]×9/5
\n" ); document.write( "because the outside parentheses are not needed,
\n" ); document.write( "and in 7th grade they taught me that
\n" ); document.write( "the innermost parenthesis are curvy ones,
\n" ); document.write( "the set around them is square parentheses,
\n" ); document.write( "and the next one is the curly ones.
\n" ); document.write( "Because I see slashes and division signs,
\n" ); document.write( "I would read 4/3×16/5 as \"%284%2F3%29%2A%2816%2F5%29\" ,
\n" ); document.write( "but it would mean the same if I read it as 4÷3×16÷5 .
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\n" ); document.write( "I see to ways to calculate that.
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\n" ); document.write( "THE JUST CALCULATE WAY:
\n" ); document.write( "(I will keep using the symbols ÷ and × until it gets impractical)
\n" ); document.write( "7/3÷[4/3+(4/3×16/5-16/5)]×9/5=
\n" ); document.write( "7/3÷[4/3+(64/15-16/5)]×9/5=
\n" ); document.write( "7/3÷[4/3+(64/15-48/15)]×9/5=
\n" ); document.write( "7/3÷(4/3+16/15)×9/5=
\n" ); document.write( "7/3÷(20/15+16/15)×9/5=
\n" ); document.write( "7/3÷(36/15)×9/5=
\n" ); document.write( "7/3×(15/36)×9/5=
\n" ); document.write( "\"7%2A15%2A9%2F%283%2A36%2A5%29\"=
\n" ); document.write( "\"7%2A%283%2A5%29%2A9%2F%283%2A%284%2A9%29%2A5%29\"=
\n" ); document.write( "\"7%2A3%2A5%2A9%2F%283%2A4%2A9%2A5%29\"=
\n" ); document.write( "=\"7%2F4\"
\n" ); document.write( "I could have multiplied to get
\n" ); document.write( "\"7%2A15%2A9%2F%283%2A36%2A5%29=945%2F540\" and then tried to simplify,
\n" ); document.write( "but I prefer to simplify early and often.
\n" ); document.write( "It is easier (at least for me).
\n" ); document.write( "
\n" ); document.write( "APPLYING THE DISTRIBUTIVE PROPERTY:
\n" ); document.write( "\"7%2F3\"\"%22%F7%22\"\"%22%5B%22\"\"4%2F3\"\"%22%D7%22\"\"%22%28%22\"\"16%2F5\"\"%22-%22\"\"16%2F5\"\"%22%29%22\"\"%22%5D%22\"\"%22%D7%22\"\"9%2F5\"\"%22=%22\"
\n" ); document.write( "\"7%2F3\"\"%22%F7%22\"\"%22%5B%22\"\"4%2F3\"\"%22%2B%22\"\"%284%2F3-1%29\"\"%22%D7%22\"\"16%2F5\"\"%22%5D%22\"\"%22%D7%22\"\"9%2F5\"\"%22=%22\"
\n" ); document.write( "\"7%2F3\"\"%22%F7%22\"\"%22%28%22\"\"4%2F3\"\"%22%2B%22\"\"1%2F3\"\"%22%D7%22\"\"16%2F5\"\"%22%29%22\"\"%22%D7%22\"\"9%2F5\"\"%22=%22\"
\n" ); document.write( "\"7%2F3\"\"%22%F7%22\"\"%22%5B%22\"\"1%2F3\"\"%22%D7%22\"\"%22%28%22\"\"4\"\"%22%2B%22\"\"16%2F5\"\"%22%29%22\"\"%22%5D%22\"\"%22%D7%22\"\"9%2F5\"\"%22=%22\"
\n" ); document.write( "\"7%2F3\"\"%22%F7%22\"\"%22%5B%22\"\"1%2F3\"\"%22%D7%22\"\"%22%28%22\"\"20%2F5\"\"%22%2B%22\"\"16%2F5\"\"%22%29%22\"\"%22%5D%22\"\"%22%D7%22\"\"9%2F5\"\"%22=%22\"
\n" ); document.write( "\"7%2F3\"\"%22%F7%22\"\"%22%28%22\"\"1%2F3\"\"%22%D7%22\"\"36%2F5\"\"%22%29%22\"\"%22%D7%22\"\"9%2F5\"\"%22=%22\"
\n" ); document.write( "\"7%2F3\"\"%22%F7%22\"\"12%2F5\"\"%22%D7%22\"\"9%2F5\"\"%22=%22\"
\n" ); document.write( "\"7%2F3\"\"%22%D7%22\"\"5%2F12\"\"%22%D7%22\"\"9%2F5\"\"%22=%22\"
\n" ); document.write( "\"7%2F3\"\"%22%D7%22\"\"5%2F12\"\"%22%D7%22\"\"9%2F5\"\"%22=%22\"
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