Fractions of a Fraction of 1000

What is the value of 1/2 of 2/3 of 3/4 of 4/5 of 5/6 of 6/7 of 7/8 of 8/9 of 9/10 of 1,000?

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June 11th, 2015 | Category: Mathematical |  Email This Riddle

7 guesses to Fractions of a Fraction of 1000

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• Frank

  June 11, 2015 at 9:01 AM

  .05

• Frank

  June 11, 2015 at 9:02 AM

  sorry .05*1000=50

• Taylor Mali

  June 11, 2015 at 9:06 AM

  Nah. I think it’s 100. But I’m having trouble concocting a genius explanation of why that is. I just crunched through the math, but there must be an elegant way to show WHY.

• Crabman

  June 11, 2015 at 12:02 PM

  Those fractions resolve to 1/10th. 1000/10 = 100

• brent

  June 11, 2015 at 3:18 PM

  Taylor, I think the “simplified math” is:

  a/b1 x b1/b2 x b2/b3 x … x bn/c
  In this case all of the b terms cancel out, because it could be written as a/c x b1/b1 x b2/b2 x b3/b3 … bn/bn
  since b1/b1 = 1 and b2/b2 = 1 etc. you are left with a/c (1/10 in our case) x 1000 = 1000.

• Margery

  June 11, 2015 at 10:26 PM

  100

• Dude

  June 12, 2015 at 6:18 AM

  Taylor, you are today’s winner! Thank you Brent for your explanation.
  One hundred – work backwards and you will understand.