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A 12-inch ruler is marked off in sixteenths of an inch. What

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A 12-inch ruler is marked off in sixteenths of an inch. What [#permalink] New post 14 May 2018, 14:14
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A 12-inch ruler is marked off in sixteenths of an inch. What is the distance, in inches, from the zero mark to the 111th mark after the zero mark?

A. \(6 \frac{1}{4}\)

B. \(6 \frac{15}{16}\)

C. \(7 \frac{3}{4}\)

D. \(9 \frac{1}{4}\)

E. \(11 \frac{1}{16}\)
[Reveal] Spoiler: OA

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Re: A 12-inch ruler is marked off in sixteenths of an inch. What [#permalink] New post 18 Jun 2018, 05:40
I got the answer B. Because we want the answer in full inches, and the marks are made in sixteenths, I think it's easiest to find how many increments of 16 are possible in the number 111. 7 x 16 = 112 ; so the answer should be 7 - 1/16, which equals 6 15/16, or answer B.

If there's an even better way to solve this, let me know!
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Re: A 12-inch ruler is marked off in sixteenths of an inch. What [#permalink] New post 19 Jun 2018, 09:32
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I do think your approach is already fast

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Re: A 12-inch ruler is marked off in sixteenths of an inch. What [#permalink] New post 01 Sep 2018, 06:33
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Carcass wrote:
A 12-inch ruler is marked off in sixteenths of an inch. What is the distance, in inches, from the zero mark to the 111th mark after the zero mark?

A. \(6 \frac{1}{4}\)

B. \(6 \frac{15}{16}\)

C. \(7 \frac{3}{4}\)

D. \(9 \frac{1}{4}\)

E. \(11 \frac{1}{16}\)


Here,

As each mark is \(\frac{1}{16}\)inch

Therefore the 111th mark will be = \(\frac{111}{16} = 6 {\frac{15}{16}}\) inches
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Re: A 12-inch ruler is marked off in sixteenths of an inch. What   [#permalink] 01 Sep 2018, 06:33
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