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

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: Express as a fraction in a simplest form: 8+16+24...+784/6+12+18+...+588      Log On


   



Question 1095737: Express as a fraction in a simplest form: 8+16+24...+784/6+12+18+...+588
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!

For this problem to make sense, the expression you really want to simplify is
(8+16+24...+784)/(6+12+18+...+588)
and not
8+16+24...+784/6+12+18+...+588
which is what you showed. Remember parentheses are important when you write an expression like this.

Looking at successive terms in the numerator and denominator, every pair is in the ratio 4 to 3:
8 : 6
16 : 12
24 : 18
...
784 : 588

So the whole fraction simplifies to just 4/3.