SOLUTION: (8/9)2 x (3/2)10 =

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Question 907931: (8/9)2 x (3/2)10 =
Answer by srinivas.g(540) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • Graphical form: %288%2F9%29%2A2%2A%283%2F2%29%2A10 simplifies to 80%2F3
  • Text form: (8/9)*2*(3/2)*10 simplifies to 80/3
  • Cartoon (animation) form: simplify_cartoon%28+%288%2F9%29%2A2%2A%283%2F2%29%2A10+%29
    For tutors: simplify_cartoon( (8/9)*2*(3/2)*10 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at highlight_red%28+%28highlight_red%28+8%2F9+%29%29%2A2%2A%283%2F2%29%2A10+%29.
Remove unneeded parentheses around factor highlight_red%28+8+%29,highlight_red%28+1%2F9+%29
It becomes highlight_green%28+8+%29%2Fhighlight_green%28+9+%29%2A2%2A%283%2F2%29%2A10.
Look at highlight_red%28+8%2F9%2A2%2A%28highlight_red%28+3%2F2+%29%29%2A10+%29.
Remove unneeded parentheses around factor highlight_red%28+3+%29,highlight_red%28+1%2F2+%29
It becomes 8%2F9%2A2%2Ahighlight_green%28+3+%29%2Fhighlight_green%28+2+%29%2A10.
Look at highlight_red%28+8+%29%2F9%2A2%2A3%2Fhighlight_red%28+2+%29%2A10.
Factors 8 and 2 have greatest common factor (GCF) of 2. Reducing fraction.
It becomes highlight_green%28+4+%29%2F9%2A2%2A3%2Fhighlight_green%28+1+%29%2A10.
Look at 4%2Fhighlight_red%28+9+%29%2A2%2Ahighlight_red%28+3+%29%2F1%2A10.
Factors 3 and 9 have greatest common factor (GCF) of 3. Reducing fraction.
It becomes 4%2Fhighlight_green%28+3+%29%2A2%2Ahighlight_green%28+1+%29%2F1%2A10.
Look at .
Multiplied numerator integers
It becomes highlight_green%28+80+%29%2F3%2F1.
Look at 80%2Fhighlight_red%28+3+%29%2Fhighlight_red%28+1+%29.
Multiplied denominator integers
It becomes 80%2Fhighlight_green%28+3+%29.
Result: 80%2F3

Universal Simplifier and Solver


Done!