Fraction Chain

Algebra Level 1

What is 1 2 × 2 3 × 3 4 × 4 5 × . . . × 999 1000 \frac{1}{2} \times \frac{2}{3} \times \frac{3}{4} \times \frac{4}{5} \times ... \times \frac{999}{1000} ?

1 1 1000 \frac{1}{1000} 1 999 \frac{1}{999} 999 1000 \frac{999}{1000}

View wiki
Hexacraft Zhang by Hexacraft Zhang , 21, Hong Kong

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Hexacraft Zhang
Nov 14, 2017

All integers between 2 to 999 in this question appeared once in the numerator and once in the denominator. Therefore, these numbers can all be canceled out, leaving the answer as 1 1000 \frac{1}{1000} .

0 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...