SOLUTION: {{{1/4}}} * {{{1/17}}} * {{{2/9}}}

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: {{{1/4}}} * {{{1/17}}} * {{{2/9}}}      Log On


   

Question 675977: 1%2F4 * 1%2F17 * 2%2F9
Answer by khv_maths(12) About Me  (Show Source):
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Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • 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.

DETAILED EXPLANATION

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.
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.
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.
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.
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.
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

Universal Simplifier and Solver


Done!