SOLUTION: {{{(b - 2)/4 = 6 / 5}}}

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Question 307701: %28b+-+2%29%2F4+=+6+%2F+5
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


  • This is an equation! Solutions: b=6.8.
  • Graphical form: Equation %28b-2%29%2F4=6%2F5 was fully solved.
  • Text form: (b-2)/4=6/5 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+%28b-2%29%2F4=6%2F5+%29
    For tutors: simplify_cartoon( (b-2)/4=6/5 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at %28b-2%29%2F4=highlight_red%28+6%2F5+%29.
Moved these terms to the left highlight_green%28+-6%2F5+%29
It becomes %28b-2%29%2F4-highlight_green%28+6%2F5+%29=0.
Look at highlight_red%28+%28b-2%29%2F4+%29-6%2F5=0.
Expanded term 1%2F4 by using associative property on %28b-2%29
It becomes highlight_green%28+1%2F4%2Ab+%29-highlight_green%28+1%2F4%2A2+%29-6%2F5=0.
Look at highlight_red%28+1+%29%2F4%2Ab-1%2F4%2A2-6%2F5=0.
Remove extraneous '1' from product highlight_red%28+1+%29
It becomes b%2F4-1%2F4%2A2-6%2F5=0.
Look at b%2F4-1%2Fhighlight_red%28+4+%29%2Ahighlight_red%28+2+%29-6%2F5=0.
Factors 2 and 4 have greatest common factor (GCF) of 2. Reducing fraction.
It becomes b%2F4-1%2Fhighlight_green%28+2+%29%2Ahighlight_green%28+1+%29-6%2F5=0.
Look at b%2F4-highlight_red%28+1+%29%2F2%2Ahighlight_red%28+1+%29-6%2F5=0.
Multiplied numerator integers
It becomes b%2F4-highlight_green%28+1+%29%2F2-6%2F5=0.
Look at b%2F4-highlight_red%28+1%2F2+%29-highlight_red%28+6%2F5+%29=0.
Added fractions or integers together
It becomes b%2F4-highlight_green%28+17%2F10+%29=0.
Look at highlight_red%28+b%2F4-17%2F10+%29=0.
Solved linear equation highlight_red%28+b%2F4-17%2F10=0+%29 equivalent to 0.25*b-1.7 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: b=6.8.

Universal Simplifier and Solver


Done!