SOLUTION: simplyify the following complex fraction: 1+2/3 ------- 7/6

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Question 34133: simplyify the following complex fraction:
1+2/3
-------
7/6
Answer by ichudov(507) 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: %281%2B2%2F3%29%2F%287%2F6%29 simplifies to 10%2F7
  • Text form: (1+2/3)/(7/6) simplifies to 10/7
  • Cartoon (animation) form: simplify_cartoon%28+%281%2B2%2F3%29%2F%287%2F6%29+%29
    For tutors: simplify_cartoon( (1+2/3)/(7/6) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at highlight_red%28+%281%2B2%2F3%29%2F%28highlight_red%28+7%2F6+%29%29+%29.
Remove unneeded parentheses around factor highlight_red%28+1%2F7+%29,highlight_red%28+6+%29
It becomes %281%2B2%2F3%29%2Fhighlight_green%28+7+%29%2Ahighlight_green%28+6+%29.
Look at %28highlight_red%28+1+%29%2Bhighlight_red%28+2%2F3+%29%29%2F7%2A6.
Added fractions or integers together
It becomes %28highlight_green%28+5%2F3+%29%29%2F7%2A6.
Look at highlight_red%28+%28highlight_red%28+5%2F3+%29%29%2F7%2A6+%29.
Remove unneeded parentheses around factor highlight_red%28+5+%29,highlight_red%28+1%2F3+%29
It becomes highlight_green%28+5+%29%2Fhighlight_green%28+3+%29%2F7%2A6.
Look at 5%2Fhighlight_red%28+3+%29%2F7%2Ahighlight_red%28+6+%29.
Factors 6 and 3 have greatest common factor (GCF) of 3. Reducing fraction.
It becomes 5%2Fhighlight_green%28+1+%29%2F7%2Ahighlight_green%28+2+%29.
Look at highlight_red%28+5+%29%2F1%2F7%2Ahighlight_red%28+2+%29.
Multiplied numerator integers
It becomes highlight_green%28+10+%29%2F1%2F7.
Look at 10%2Fhighlight_red%28+1+%29%2Fhighlight_red%28+7+%29.
Multiplied denominator integers
It becomes 10%2Fhighlight_green%28+7+%29.
Result: 10%2F7

Universal Simplifier and Solver


Done!