SOLUTION: I am having trouble with a question? My question is divide 40x/64y by 5x/8y? I think the answer is 3/4. Am I right? Please let me know.

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: I am having trouble with a question? My question is divide 40x/64y by 5x/8y? I think the answer is 3/4. Am I right? Please let me know.      Log On


   

Question 6179: I am having trouble with a question? My question is divide 40x/64y by 5x/8y? I think the answer is 3/4. Am I right? Please let me know.
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: %2840x%2F64%2Fy%29%2F%285x%2F8%2Fy%29 simplifies to 1
  • Text form: (40x/64/y)/(5x/8/y) simplifies to 1
  • Cartoon (animation) form: simplify_cartoon%28+%2840x%2F64%2Fy%29%2F%285x%2F8%2Fy%29+%29
    For tutors: simplify_cartoon( (40x/64/y)/(5x/8/y) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at highlight_red%28+%28highlight_red%28+40%2Ax%2F64%2Fy+%29%29%2F%285%2Ax%2F8%2Fy%29+%29.
Remove unneeded parentheses around factor highlight_red%28+40+%29,highlight_red%28+x+%29,highlight_red%28+1%2F64+%29,highlight_red%28+1%2Fy+%29
It becomes .
Look at highlight_red%28+40%2Ax%2F64%2Fy%2F%28highlight_red%28+5%2Ax%2F8%2Fy+%29%29+%29.
Remove unneeded parentheses around factor highlight_red%28+1%2F5+%29,highlight_red%28+1%2Fx+%29,highlight_red%28+8+%29,highlight_red%28+y+%29
It becomes .
Look at highlight_red%28+40+%29%2Ax%2Fhighlight_red%28+64+%29%2Fy%2F5%2Fx%2A8%2Ay.
Factors 40 and 64 have greatest common factor (GCF) of 8. Reducing fraction.
It becomes highlight_green%28+5+%29%2Ax%2Fhighlight_green%28+8+%29%2Fy%2F5%2Fx%2A8%2Ay.
Look at highlight_red%28+5+%29%2Ax%2F8%2Fy%2Fhighlight_red%28+5+%29%2Fx%2A8%2Ay.
Factors 5 and 5 have greatest common factor (GCF) of 5. Reducing fraction.
It becomes highlight_green%28+1+%29%2Ax%2F8%2Fy%2Fhighlight_green%28+1+%29%2Fx%2A8%2Ay.
Look at 1%2Ax%2Fhighlight_red%28+8+%29%2Fy%2F1%2Fx%2Ahighlight_red%28+8+%29%2Ay.
Factors 8 and 8 have greatest common factor (GCF) of 8. Reducing fraction.
It becomes 1%2Ax%2Fhighlight_green%28+1+%29%2Fy%2F1%2Fx%2Ahighlight_green%28+1+%29%2Ay.
Look at highlight_red%28+1+%29%2Ax%2F1%2Fy%2F1%2Fx%2Ahighlight_red%28+1+%29%2Ay.
Multiplied numerator integers
It becomes highlight_green%28+1+%29%2Ax%2F1%2Fy%2F1%2Fx%2Ay.
Look at 1%2Ax%2Fhighlight_red%28+1+%29%2Fy%2Fhighlight_red%28+1+%29%2Fx%2Ay.
Multiplied denominator integers
It becomes 1%2Ax%2Fhighlight_green%28+1+%29%2Fy%2Fx%2Ay.
Look at highlight_red%28+1+%29%2Ax%2Fhighlight_red%28+1+%29%2Fy%2Fx%2Ay.
Reduce similar several occurrences of highlight_red%28+1+%29 to
It becomes x%2Fy%2Fx%2Ay.
Look at x%2Fhighlight_red%28+y+%29%2Fx%2Ahighlight_red%28+y+%29.
Reduce similar several occurrences of highlight_red%28+1%2Fy+%29 to
It becomes x%2Fx.
Look at highlight_red%28+x+%29%2Fhighlight_red%28+x+%29.
Reduce similar several occurrences of highlight_red%28+x+%29 to highlight_green%28+1+%29
It becomes highlight_green%28+1+%29.
Result: 1

Universal Simplifier and Solver


Done!