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(2 3/5 - 1 2/3)/(2/3 - 3/5)

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(2 3/5 - 1 2/3)/(2/3 - 3/5)  [#permalink]

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New post 18 Mar 2014, 01:47
4
5
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

94% (01:04) correct 6% (01:23) wrong based on 1129 sessions

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The Official Guide For GMAT® Quantitative Review, 2ND Edition

\(\frac{2\frac{3}{5}-1\frac{2}{3}}{\frac{2}{3}-\frac{3}{5}}\)

(A) 16
(B) 14
(C) 3
(D) 1
(E) -1

Problem Solving
Question: 176
Category: Arithmetic Operations on rational numbers
Page: 85
Difficulty: 500


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Re: (2 3/5 - 1 2/3)/(2/3 - 3/5)  [#permalink]

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New post 18 Mar 2014, 01:47
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Re: (2 3/5 - 1 2/3)/(2/3 - 3/5)  [#permalink]

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New post 21 Mar 2014, 00:06
Answer = (B) 14

\(\frac{\frac{13}{5} - \frac{5}{3}}{ \frac{2}{3} - \frac{3}{5}}\)

= \(\frac{\frac{39-25}{15}}{ \frac{10-9}{15}}\)

= 14

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(2 3/5 - 1 2/3)/(2/3 - 3/5)  [#permalink]

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New post 05 Jul 2014, 23:11
\(\frac{2\frac{3}{5}-1\frac{2}{3}}{\frac{2}{3}-\frac{3}{5}}\)

(A) 16
(B) 14
(C) 3
(D) 1
(E) -1

Problem Solving
Question: 176
Category: Arithmetic Operations on rational numbers
Page: 85
Difficulty: 500


(2 3/5-1 2/3)/(2/3-3/5) = (2+3/5-1-2/3)/(2/3-3/5) = (1-(2/3-3/5))/(2/3-3/5) = 1/(2/3-3/5)-1 = 1/(1/15)-1 = 15 -1 = 14
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Re: (2 3/5 - 1 2/3)/(2/3 - 3/5)  [#permalink]

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New post 25 May 2017, 15:49
Quote:

(A) 16
(B) 14
(C) 3
(D) 1
(E) -1


We can simplify the numerator of the fraction by converting the mixed numbers into improper fractions:

[(13/5) - (5/3)]/[(2/3) - (3/5)]

Multiplying the entire expression by 15/15, we have:

(39 - 25)/(10 - 9) = 14/1 = 14

Answer: B
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Re: (2 3/5 - 1 2/3)/(2/3 - 3/5)  [#permalink]

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New post 11 Oct 2017, 14:10
1. (2 3/5 - 1 2/3) / 2/3 - 3/5
2. 13/5 - 5/3 / 2/3 - 3/5
3. 14/15 / 1/15
4. 14

Answer is 14, (B)
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Re: (2 3/5 - 1 2/3)/(2/3 - 3/5)  [#permalink]

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New post 15 Jan 2019, 13:12
Answer = (B) 14
(2 3/5 - 1 2/3) / 2/3 - 3/5
13/5 - 5/3 / 2/3 - 3/5
-14/15 / -1/15
14
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Re: (2 3/5 - 1 2/3)/(2/3 - 3/5)   [#permalink] 15 Jan 2019, 13:12
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