Question 1185156
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Note first of all that your expression is not shown correctly; parentheses are required.<br>
"(8+16+24+…+784)/(6+12+18+…+588)", not just "8+16+24+…+784/6+12+18+…+588"<br>
Take a few seconds to note that the numerator is<br>
8+16+24+…+784 = 8(1+2+3+...+98)<br>
and the denominator is<br>
6+12+18+…+588 = 6(1+2+3+...+98)<br>
Simplifying the fraction is then simple:<br>
(6(1+2+3+...+98))/(8(1+2+3+...+98)) = 6/8 = 3/4<br>
ANSWER: 3/4<br>