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1/2 + 1/3 + 1/4 + 1/5 + 1/6 = ?

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1/2 + 1/3 + 1/4 + 1/5 + 1/6 = ? [#permalink]

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New post 04 Jan 2018, 01:37
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Question Stats:

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\(\frac{1}{2} + \frac{1}{3} + \frac{1}{4} + \frac{1}{5} + \frac{1}{6} = ?\)


A. \(\frac{11}{4}\)

B. \(1 \frac{1}{20}\)

C. \(1 \frac{1}{4}\)

D. \(1 \frac{9}{20}\)

E. \(1 \frac{29}{60}\)
[Reveal] Spoiler: OA

Last edited by Bunuel on 04 Jan 2018, 01:41, edited 1 time in total.
Edited the question.

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Re: 1⁄2 + 1⁄3 + 1⁄4 + 1⁄5 + 1⁄6 = [#permalink]

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New post 04 Jan 2018, 01:47
chesstitans wrote:
1⁄2 + 1⁄3 + 1⁄4 + 1⁄5 + 1⁄6 = ?

1⁄4
1 1⁄20
1 1⁄4
1 9⁄20
1 29⁄60


Please format questions properly. Thank you.

\(\frac{1}{2} + \frac{1}{3} + \frac{1}{4} + \frac{1}{5} + \frac{1}{6} = ?\)


A. \(\frac{11}{4}\)

B. \(1 \frac{1}{20}\)

C. \(1 \frac{1}{4}\)

D. \(1 \frac{9}{20}\)

E. \(1 \frac{29}{60}\)

\(\frac{1}{2} + \frac{1}{3} + \frac{1}{4} + \frac{1}{5} + \frac{1}{6} = \frac{30+20+15+12+10}{60} = \frac{87}{60}=\frac{29}{20}=1 \frac{9}{20}\)
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Re: 1/2 + 1/3 + 1/4 + 1/5 + 1/6 = ? [#permalink]

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New post 04 Jan 2018, 03:10
Bunuel wrote:
chesstitans wrote:
1⁄2 + 1⁄3 + 1⁄4 + 1⁄5 + 1⁄6 = ?

1⁄4
1 1⁄20
1 1⁄4
1 9⁄20
1 29⁄60


Please format questions properly. Thank you.

\(\frac{1}{2} + \frac{1}{3} + \frac{1}{4} + \frac{1}{5} + \frac{1}{6} = ?\)


A. \(\frac{11}{4}\)

B. \(1 \frac{1}{20}\)

C. \(1 \frac{1}{4}\)

D. \(1 \frac{9}{20}\)

E. \(1 \frac{29}{60}\)

\(\frac{1}{2} + \frac{1}{3} + \frac{1}{4} + \frac{1}{5} + \frac{1}{6} = \frac{30+20+15+12+10}{60} = \frac{87}{60}=\frac{29}{20}=1 \frac{9}{20}\)


pls help, I have 2 questions.
1/ How do I format the question?
2/ Is there a better way to calculate such math problems?

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Re: 1/2 + 1/3 + 1/4 + 1/5 + 1/6 = ? [#permalink]

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New post 04 Jan 2018, 04:45
chesstitans wrote:
Bunuel wrote:
chesstitans wrote:
1⁄2 + 1⁄3 + 1⁄4 + 1⁄5 + 1⁄6 = ?

1⁄4
1 1⁄20
1 1⁄4
1 9⁄20
1 29⁄60


Please format questions properly. Thank you.

\(\frac{1}{2} + \frac{1}{3} + \frac{1}{4} + \frac{1}{5} + \frac{1}{6} = ?\)


A. \(\frac{11}{4}\)

B. \(1 \frac{1}{20}\)

C. \(1 \frac{1}{4}\)

D. \(1 \frac{9}{20}\)

E. \(1 \frac{29}{60}\)

\(\frac{1}{2} + \frac{1}{3} + \frac{1}{4} + \frac{1}{5} + \frac{1}{6} = \frac{30+20+15+12+10}{60} = \frac{87}{60}=\frac{29}{20}=1 \frac{9}{20}\)


pls help, I have 2 questions.
1/ How do I format the question?
2/ Is there a better way to calculate such math problems?


1. Writing Mathematical Formulas on the Forum: https://gmatclub.com/forum/rules-for-po ... l#p1096628

2. Finding common denominator is easiest way. Some questions might have a shortcut solutions but this method will always give you the correct answer.
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Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

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

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

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1/2 + 1/3 + 1/4 + 1/5 + 1/6 = ? [#permalink]

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New post 04 Jan 2018, 06:55
chesstitans wrote:
\(\frac{1}{2} + \frac{1}{3} + \frac{1}{4} + \frac{1}{5} + \frac{1}{6} = ?\)


A. \(\frac{11}{4}\)

B. \(1 \frac{1}{20}\)

C. \(1 \frac{1}{4}\)

D. \(1 \frac{9}{20}\)

E. \(1 \frac{29}{60}\)




Just to make the calculation easier.
remember \(\frac{1}{3}+\frac{1}{6}=\frac{1}{2}\)
\(\frac{1}{2} + \frac{1}{3} + \frac{1}{4} + \frac{1}{5} + \frac{1}{6} = \frac{1}{2} + (\frac{1}{3} + \frac{1}{6}) + \frac{1}{5} + \frac{1}{4} = \frac{1}{2} + \frac{1}{2} + \frac{4+5}{5*4} = 1+ \frac{9}{20}\)
D
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Re: 1/2 + 1/3 + 1/4 + 1/5 + 1/6 = ? [#permalink]

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New post 04 Jan 2018, 07:03
chesstitans wrote:
\(\frac{1}{2} + \frac{1}{3} + \frac{1}{4} + \frac{1}{5} + \frac{1}{6} = ?\)


A. \(\frac{11}{4}\)

B. \(1 \frac{1}{20}\)

C. \(1 \frac{1}{4}\)

D. \(1 \frac{9}{20}\)

E. \(1 \frac{29}{60}\)

-------------------

One possible way of calculation could be:
=(1/2 + 1/3) +1/4 +1/5 + 1/6 (selecting the first 2 as you would get a denominator of 6 which you can quickly combine with the last term, select those with denominators that dont have any common facors i.e. GCD = 1, that will help in quick calculation)
= 5/6 + 1/6 + 1/4 + 1/5
= 1 + (1/4 + 1/5)
= 1 + (9/20)
= 1 9/20

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1/2 + 1/3 + 1/4 + 1/5 + 1/6 = ? [#permalink]

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New post 04 Jan 2018, 08:07
chesstitans wrote:
\(\frac{1}{2} + \frac{1}{3} + \frac{1}{4} + \frac{1}{5} + \frac{1}{6} = ?\)


A. \(\frac{11}{4}\)

B. \(1 \frac{1}{20}\)

C. \(1 \frac{1}{4}\)

D. \(1 \frac{9}{20}\)

E. \(1 \frac{29}{60}\)

Using the common denominator is quick; the numerators are not hard to calculate.

\(\frac{30}{60} + \frac{20}{60} + \frac{15}{60} + \frac{12}{60} + \frac{10}{60} =\)

\(\frac{87}{60} = \frac{29}{20} = 1\frac{9}{29}\)

Answer D
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Re: 1/2 + 1/3 + 1/4 + 1/5 + 1/6 = ? [#permalink]

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New post 04 Jan 2018, 08:39
chesstitans wrote:
\(\frac{1}{2} + \frac{1}{3} + \frac{1}{4} + \frac{1}{5} + \frac{1}{6} = ?\)


A. \(\frac{11}{4}\)

B. \(1 \frac{1}{20}\)

C. \(1 \frac{1}{4}\)

D. \(1 \frac{9}{20}\)

E. \(1 \frac{29}{60}\)


\(\frac{1}{2} + \frac{1}{3} + \frac{1}{4} + \frac{1}{5} + \frac{1}{6}\)

= \(\frac{30+20+15+12+10}{60}\)

= \(\frac{87}{60}\)

= \(1 \frac{27}{60}\)

= \(1 \frac{9}{20}\)

Thus, answer will be (D)
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Re: 1/2 + 1/3 + 1/4 + 1/5 + 1/6 = ?   [#permalink] 04 Jan 2018, 08:39
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