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mikemcgarry
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((0.9996/0.98) - 1) = 09 Jun 2014, 12:59
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A
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25% (medium)

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78% (01:44) correct 22% (02:02) wrong based on 274 sessions

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\(((\frac{0.9996}{0.98}) - 1) =\)

(A) \(\frac{1}{50}\)
(B) \(\frac{1}{98}\)
(C) \(\frac{2}{49}\)
(D) \(\frac{3}{49}\)
(E) \(\frac{3}{196}\)

For an elegant no-calculator explanation to this problem, as well as a bank of nine other problems on fractions & decimals, see:
https://magoosh.com/gmat/2014/gmat-pract ... -decimals/

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((0.9996/0.98) - 1) = 13 Aug 2014, 20:48
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\(\frac{0.9996}{0.98} - 1 = \frac{0.9996-0.9800}{0.98} = \frac{0.0196}{0.98} = \frac{196}{9800} = \frac{2}{100} = \frac{1}{50}\)

Answer = A
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((0.9996/0.98) - 1) = 09 Jun 2014, 13:20
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\(((\frac{0.9996}{0.98}) - 1) =\)

(A) \(\frac{1}{50}\)
(B) \(\frac{1}{98}\)
(C) \(\frac{2}{49}\)
(D) \(\frac{3}{49}\)
(E) \(\frac{3}{196}\)

For an elegant no-calculator explanation to this problem, as well as a bank of nine other problems on fractions & decimals, see:
https://magoosh.com/gmat/2014/gmat-pract ... -decimals/

Mike :-)


{9996 x10^(-4)/98x10^(-2) } - 1

= 1.02-1 = .02
=2/100
=1/50
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((0.9996/0.98) - 1) = 09 Jun 2014, 23:51
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mikemcgarry
\(((\frac{0.9996}{0.98}) - 1) =\)

(A) \(\frac{1}{50}\)
(B) \(\frac{1}{98}\)
(C) \(\frac{2}{49}\)
(D) \(\frac{3}{49}\)
(E) \(\frac{3}{196}\)

For an elegant no-calculator explanation to this problem, as well as a bank of nine other problems on fractions & decimals, see:
https://magoosh.com/gmat/2014/gmat-pract ... -decimals/

Mike :-)

\(((\frac{0.9996}{0.98}) - 1) =\)

Can be re-written as\(((\frac{(0.9800+0.0196)}{0.9800}\))-1)

\(((1+0.02)-1)\) or 0.02 or 2/100 ----1/50

Ans is A
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((0.9996/0.98) - 1) = 31 Oct 2014, 09:10
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This is how i see it

0.0096 = 1-0.0004 = 1-4(10)^-4 and 0.98 = 1 - 2(10)^-2

remember a2-b2 = (a-b) x (a-b)

so 1-4(10)^-4 / 1 - 2(10)^-2 is now (1 - 2(10)^-2) x (1 + 2(10)^-2) divided with 1 - 2(10)^-2

so u get (1 + 2(10)^-2) -1 = 0.02 = 2/100 = 1/50
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((0.9996/0.98) - 1) = 14 Jan 2015, 11:24
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I probably didn't use a really smart way, but here it is:

0.9996/0.98 - 1 = 0.9996 - 0.98 / 0.98 = 0.196 / 0.98 = (multiply both by 1000) = 196 / 9800 = 1 / 50. ANS A

* here: 0.9996 - 0.98 / 0.98, I just turned the 2 fractions into having the same denominator (I don't remember the name of this process - let's say LCM).
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((0.9996/0.98) - 1) = 08 Feb 2022, 19:08
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\(((\frac{0.9998}{0.98})-1)\) = \(((\frac{1-0.0004}{1-0.02})-1)\) = \(((\frac{1-2^{2}*10^{-4}}{1-2*10^{-2}})-1)\) = \(((\frac{(1)^{2}-(2*10^{-2})^{2}}{1-2*10^{-2}})-1)\)

= \(((\frac{(1-2*10^{-2})(1+2*10^{-2})}{(1-2*10^{-2})})-1)\) = \((1+0.02-1)\) = \(0.02\) = \(\frac{2}{100}\) = \(\frac{1}{50}\) \((A)\)
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