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

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SVP
Joined: 12 Dec 2016
Posts: 1899
Location: United States
GMAT 1: 700 Q49 V33
GPA: 3.64
1/2 + 1/3 + 1/4 + 1/5 + 1/6 = ? [#permalink]

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Updated on: 04 Jan 2018, 02:41
00:00

Difficulty:

25% (medium)

Question Stats:

71% (01:05) correct 29% (01:04) wrong based on 58 sessions

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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. $$1 \frac{29}{60}$$

Originally posted by chesstitans on 04 Jan 2018, 02:37.
Last edited by Bunuel on 04 Jan 2018, 02:41, edited 1 time in total.
Edited the question.
Math Expert
Joined: 02 Sep 2009
Posts: 46167
Re: 1⁄2 + 1⁄3 + 1⁄4 + 1⁄5 + 1⁄6 = [#permalink]

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04 Jan 2018, 02:47
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. $$1 \frac{29}{60}$$

$$\frac{1}{2} + \frac{1}{3} + \frac{1}{4} + \frac{1}{5} + \frac{1}{6} = \frac{30+20+15+12+10}{60} = \frac{87}{60}=\frac{29}{20}=1 \frac{9}{20}$$
_________________
SVP
Joined: 12 Dec 2016
Posts: 1899
Location: United States
GMAT 1: 700 Q49 V33
GPA: 3.64
Re: 1/2 + 1/3 + 1/4 + 1/5 + 1/6 = ? [#permalink]

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04 Jan 2018, 04:10
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?
Math Expert
Joined: 02 Sep 2009
Posts: 46167
Re: 1/2 + 1/3 + 1/4 + 1/5 + 1/6 = ? [#permalink]

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04 Jan 2018, 05:45
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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Math Expert
Joined: 02 Aug 2009
Posts: 5890
1/2 + 1/3 + 1/4 + 1/5 + 1/6 = ? [#permalink]

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04 Jan 2018, 07:55
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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Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

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Manager
Joined: 23 Oct 2017
Posts: 64
Re: 1/2 + 1/3 + 1/4 + 1/5 + 1/6 = ? [#permalink]

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04 Jan 2018, 08:03
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
SC Moderator
Joined: 22 May 2016
Posts: 1755
1/2 + 1/3 + 1/4 + 1/5 + 1/6 = ? [#permalink]

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04 Jan 2018, 09:07
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.

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

$$\frac{87}{60} = \frac{29}{20} = 1\frac{9}{29}$$

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

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04 Jan 2018, 09:39
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. $$1 \frac{29}{60}$$

$$\frac{1}{2} + \frac{1}{3} + \frac{1}{4} + \frac{1}{5} + \frac{1}{6}$$

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

= $$\frac{87}{60}$$

= $$1 \frac{27}{60}$$

= $$1 \frac{9}{20}$$

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Re: 1/2 + 1/3 + 1/4 + 1/5 + 1/6 = ?   [#permalink] 04 Jan 2018, 09:39
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