SOLUTION: Express as a fraction in simplest form: 8+16+24+…+784/6+12+18+…+588

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Question 1185156: Express as a fraction in simplest form:
8+16+24+…+784/6+12+18+…+588
Found 3 solutions by MathLover1, ikleyn, greenestamps:
Answer by MathLover1(20855)   (Show Source): You can put this solution on YOUR website!
Express as a fraction in simplest form:
+…+/+…+

numerator is:
+…+-> find nth term formula



last term is , so is



denominator is:
+…+



last term is , so is

-> there are terms in both numerator and denominator

then sum of each sequence is:


finally, you have


Answer by ikleyn(53763)   (Show Source): You can put this solution on YOUR website!
.


            Actually,  it is a joke problem,  and in my post below  I  will explain you  WHY. 


The numerator is


    8 + 16 + 24 + . . . + 784 = 8*(1 + 2 + 3 + . . . 98).


The denominator is


    6 + 12 + 18 + . . . + 588 = 6*(1 + 2 + 3 + . . . 98).


When you take the fraction, the sums in parentheses will cancel each other - - - so THERE IS NO NEED to calculate them.


The final answer is   = .


        If you will solve it following the  @MathLover1 post,  there is a risk that people will laugh at you.



Answer by greenestamps(13334)   (Show Source): You can put this solution on YOUR website!


Note first of all that your expression is not shown correctly; parentheses are required.

"(8+16+24+…+784)/(6+12+18+…+588)", not just "8+16+24+…+784/6+12+18+…+588"

Take a few seconds to note that the numerator is

8+16+24+…+784 = 8(1+2+3+...+98)

and the denominator is

6+12+18+…+588 = 6(1+2+3+...+98)

Simplifying the fraction is then simple:

(6(1+2+3+...+98))/(8(1+2+3+...+98)) = 6/8 = 3/4

ANSWER: 3/4
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