SOLUTION: 1/2(16)3/4

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Question 37955This question is from textbook Algebra II
: 1/2(16)3/4 This question is from textbook Algebra II

Answer by Alwayscheerful(414) About Me  (Show Source):
You can put this solution on YOUR website!
It would be extremely helpful if I knew what the question is. So, I'm just going to assume it's a simplification problem.
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • Graphical form: 1%2F2%2A%2816%29%2A3%2F4 simplifies to 6
  • Text form: 1/2*(16)*3/4 simplifies to 6
  • Cartoon (animation) form: simplify_cartoon%28+1%2F2%2A%2816%29%2A3%2F4+%29
    For tutors: simplify_cartoon( 1/2*(16)*3/4 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION


Look at highlight_red%28+1%2F2%2A%28highlight_red%28+16+%29%29%2A3%2F4+%29.
Remove unneeded parentheses around factor highlight_red%28+16+%29
It becomes 1%2F2%2Ahighlight_green%28+16+%29%2A3%2F4.

Look at 1%2Fhighlight_red%28+2+%29%2Ahighlight_red%28+16+%29%2A3%2F4.
Factors 16 and 2 have greatest common factor (GCF) of 2. Reducing fraction.
It becomes 1%2Fhighlight_green%28+1+%29%2Ahighlight_green%28+8+%29%2A3%2F4.

Look at 1%2F1%2Ahighlight_red%28+8+%29%2A3%2Fhighlight_red%28+4+%29.
Factors 8 and 4 have greatest common factor (GCF) of 4. Reducing fraction.
It becomes 1%2F1%2Ahighlight_green%28+2+%29%2A3%2Fhighlight_green%28+1+%29.

Look at highlight_red%28+1+%29%2F1%2Ahighlight_red%28+2+%29%2Ahighlight_red%28+3+%29%2F1.
Multiplied numerator integers
It becomes highlight_green%28+6+%29%2F1%2F1.

Look at 6%2Fhighlight_red%28+1+%29%2Fhighlight_red%28+1+%29.
Multiplied denominator integers
It becomes 6%2Fhighlight_green%28+1+%29.

Look at 6%2Fhighlight_red%28+1+%29.
Remove extraneous '1' from product highlight_red%28+1%2F1+%29
It becomes 6.
Result: 6

Universal Simplifier and Solver


Done!


In the future, type out the whole problem.
Hope this helps!