document.write( "Question 675977: $\"1%2F4\"$ * $\"1%2F17\"$ * $\"2%2F9\"$ \n" ); document.write( "

Algebra.Com's Answer #420161 by khv_maths(12) $\"\"$ $\"About$

You can put this solution on YOUR website!
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Solved by pluggable solver: EXPLAIN simplification of an expression

Your Result:

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Graphical form: $\"%281%2F4%29%2A%281%2F17%29%2A%282%2F9%29\"$ simplifies to $\"1%2F306\"$
Text form: (1/4)*(1/17)*(2/9) simplifies to 1/306
Cartoon (animation) form: $\"simplify_cartoon%28+%281%2F4%29%2A%281%2F17%29%2A%282%2F9%29+%29\"$
For tutors: simplify_cartoon( (1/4)*(1/17)*(2/9) )
If you have a website, here's a link to this solution.

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DETAILED EXPLANATION

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Look at $\"highlight_red%28+%28highlight_red%28+1%2F4+%29%29%2A%281%2F17%29%2A%282%2F9%29+%29\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+1+%29\"$ , $\"highlight_red%28+1%2F4+%29\"$
It becomes $\"highlight_green%28+1+%29%2Fhighlight_green%28+4+%29%2A%281%2F17%29%2A%282%2F9%29\"$ .
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Look at $\"highlight_red%28+1%2F4%2A%28highlight_red%28+1%2F17+%29%29%2A%282%2F9%29+%29\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+1+%29\"$ , $\"highlight_red%28+1%2F17+%29\"$
It becomes $\"1%2F4%2Ahighlight_green%28+1+%29%2Fhighlight_green%28+17+%29%2A%282%2F9%29\"$ .
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Look at $\"highlight_red%28+1%2F4%2A1%2F17%2A%28highlight_red%28+2%2F9+%29%29+%29\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+2+%29\"$ , $\"highlight_red%28+1%2F9+%29\"$
It becomes $\"1%2F4%2A1%2F17%2Ahighlight_green%28+2+%29%2Fhighlight_green%28+9+%29\"$ .
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Look at $\"1%2Fhighlight_red%28+4+%29%2A1%2F17%2Ahighlight_red%28+2+%29%2F9\"$ .
Factors 2 and 4 have greatest common factor (GCF) of 2. Reducing fraction.
It becomes $\"1%2Fhighlight_green%28+2+%29%2A1%2F17%2Ahighlight_green%28+1+%29%2F9\"$ .
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Look at $\"highlight_red%28+1+%29%2F2%2Ahighlight_red%28+1+%29%2F17%2Ahighlight_red%28+1+%29%2F9\"$ .
Multiplied numerator integers
It becomes $\"highlight_green%28+1+%29%2F2%2F17%2F9\"$ .
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Look at $\"1%2Fhighlight_red%28+2+%29%2Fhighlight_red%28+17+%29%2Fhighlight_red%28+9+%29\"$ .
Multiplied denominator integers
It becomes $\"1%2Fhighlight_green%28+306+%29\"$ .
Result: $\"1%2F306\"$
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Universal Simplifier and Solver

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Done!

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