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

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Kudos [?]: 135508 [0], given: 12697

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

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New post 18 Mar 2014, 00:47
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Difficulty:

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Question Stats:

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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, 00:47
SOLUTION

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

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

\(\frac{2\frac{3}{5}-1\frac{2}{3}}{\frac{2}{3}-\frac{3}{5}}=\frac{\frac{13}{5}-\frac{5}{3}}{\frac{10}{15}-\frac{9}{15}}=\frac{\frac{39}{15}-\frac{25}{3}}{\frac{1}{15}}=\frac{14}{15}*15=14\).

Answer: B.
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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

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

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New post 20 Mar 2014, 23:06
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, 22:11
\(\frac{2\frac{3}{5}-1\frac{2}{3}}{\frac{2}{3}-\frac{3}{5}}\)

(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

Kudos [?]: 17 [0], given: 12

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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, 14:49
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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Head of GMAT Instruction

GMAT Quant Self-Study Course
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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, 13:10
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)

Kudos [?]: 5 [0], given: 2

Re: (2 3/5 - 1 2/3)/(2/3 - 3/5)   [#permalink] 11 Oct 2017, 13:10
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