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Re: Which of the following fractions is the largest? [#permalink]

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06 Aug 2016, 20:28

EBITDA wrote:

Which of the following fractions is the largest?

A) 5/6 B) 11/14 C) 12/15 D) 17/21 E) 29/35

Could you please explain what is the fastest way of solving this problem?

Thank you.

another way is by taking LCM of denominators(2*3*5*7) (a) 175 (as lcm is 2*3*5*7 where 2*3 part is already in denominator just multiply 5*7 to numerator) ,similarly (b) 165 (c)168 (d)170 (e)174

Re: Which of the following fractions is the largest? [#permalink]

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02 Aug 2017, 05:18

1

This post was BOOKMARKED

the fastest way IMO is- to compare each with others such as 5/6 and 11/14 = 5*14>11*6 5/6 and 12/15 = 5*15>6*12 5/6 and 17/21= 5*21>17*6 5/6 and 29/35= 5*35>6*29

Re: Which of the following fractions is the largest? [#permalink]

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04 Nov 2017, 22:17

3

This post received KUDOS

I want to share a simpler approach. Rule : out of 2 fractions F1 & F2, F1 is greater if (1/F1) is smaller or vice versa. In this Question F1 = 5/6, 1/F1 = 6/5 =1.2 F2 = 11/14, 1/F2 = 14/11 >1.2 F3 = 12/15 , 1/F3 = 15/12 >1.2 F4= 17/21, 1/F4 = 21/17 >1.2 F5 = 29/35, 1/F5 = 35/29 >1.2

Since 1/F1 is smallest, F1 is greatest.

PS: similarly to find the lowest fraction, 1/fraction shall be highest.

Re: Which of the following fractions is the largest? [#permalink]

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10 Nov 2017, 20:39

This approach I find very interesting and very lucid to apply...

frndrobinster wrote:

I want to share a simpler approach. Rule : out of 2 fractions F1 & F2, F1 is greater if (1/F1) is smaller or vice versa. In this Question F1 = 5/6, 1/F1 = 6/5 =1.2 F2 = 11/14, 1/F2 = 14/11 >1.2 F3 = 12/15 , 1/F3 = 15/12 >1.2 F4= 17/21, 1/F4 = 21/17 >1.2 F5 = 29/35, 1/F5 = 35/29 >1.2

Since 1/F1 is smallest, F1 is greatest.

PS: similarly to find the lowest fraction, 1/fraction shall be highest.