Seems hard, but easy

Algebra Level 1

Calculate

3 2 × 4 3 × 5 4 × ⋯ × 2006 2005 \frac{3}{2} \times \frac{4}{3} \times \frac{5}{4} \times \dots \times \frac{2006}{2005}

1 2006 0 2005 1003 1002

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Ramona Xi by Ramona Xi , 20, China

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2 solutions

Ethan Godden
Feb 2, 2015

The numerators cancel with the denominators diagonally and all that is left is 2006/2 which is 1003

4 Helpful 0 Interesting 0 Brilliant 0 Confused

Correct answer..to the point, sir..Upvoted!

Yoogottam Khandelwal - 5 years, 11 months ago

directly to the point

Micah Mzumara - 5 years, 11 months ago
Ashish Menon
Jun 2, 2016

Numerators and denominators cancel out to leave behind 2006 2 = 1003 \dfrac{2006}{2} = \color{#69047E}{\boxed{1003}} .

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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