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

Question

\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}

Bunuel · Answer

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}

chesstitans · Answer

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

Bunuel · Answer

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.

chetan2u · Answer

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

luffy_ueki · Answer

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

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

generis · Answer

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

Abhishek009 · Answer

\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)

jkolachi · Answer

Here's a short video of me showing how to solve the problem.

There are two ways to solve this problem. 
1) Simplifying the fractions 
2) Adding all the fractions (mental math)

https://www.youtube.com/watch?v=FuqYUzlubMk

bumpbot · Answer

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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 = ?

Prep Toolkit

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