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05 Sep 2019, 04:33
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Difficulty:
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64% (01:14) correct
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Which of the following fractions is the smallest?
A. 3/10.
B. 6/19.
C. 3/8.
D. 11/30.
E. 12/31.
A. 3/10.
B. 6/19.
C. 3/8.
D. 11/30.
E. 12/31.
05 Sep 2019, 09:55
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Solution:
i will break the solution into 3 parts and eliminate obvious wrong answers:
part 1:
given:
A) 3/10= 6/20 and c) 3/8= 6/16 and we have B)given = 6/19. between these 3 fractions it is now obvious that 3/10 is the smallest so we eliminate B and C. and we keep A.
part 2: we compare D and E using bow method:
11x31= 341 and 30x12= 360 ---> 360>341 ---> 12/31 > 11/30 so we eliminate choice E)
part 3:
now we compare the two left choices A and D using the bow method:
3x30= 90 and 10x11=110 ---> 110>90 ---> 11/30>3/10
or we can multiply choice A by 3 and compare it to D:
(3/10)x 3 = 9/30 and 9/30<11/30 then A is the smallest choice.
i will break the solution into 3 parts and eliminate obvious wrong answers:
part 1:
given:
A) 3/10= 6/20 and c) 3/8= 6/16 and we have B)given = 6/19. between these 3 fractions it is now obvious that 3/10 is the smallest so we eliminate B and C. and we keep A.
part 2: we compare D and E using bow method:
11x31= 341 and 30x12= 360 ---> 360>341 ---> 12/31 > 11/30 so we eliminate choice E)
part 3:
now we compare the two left choices A and D using the bow method:
3x30= 90 and 10x11=110 ---> 110>90 ---> 11/30>3/10
or we can multiply choice A by 3 and compare it to D:
(3/10)x 3 = 9/30 and 9/30<11/30 then A is the smallest choice.
chrtpmdr
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06 Sep 2019, 08:48
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My approach:
List the numbers up from 3/10 - 6/19 - 3/8 - 11/30 - 12 / 31
Look for the pattern - obviously they want something from us that involves 1/3 because all numbers are suspiciously close to 1/3
So let's check
3/10 = 0,30 -> another way to check is to perform 3*3 which is 9 and means it is slightly smaller then 1/3
6/19 = x -> 6*3 = 18 so this one is slightly smaller than 1/3 as well
Now with the following three you immediately are going to recognize that all of the numbers *3 lead to something greater then the whole fraction, which means all of those numbers are greater then 1/3 and therefore can be eliminated.
With the last two numbers you probably have several options to check which one is larger / smaller, I just went with simple divsion.
Because I already knew that 10/30 is 0.30 so I basically wrote 6/19 and immediately saw that it's something like 0.31xxxx
So therefore I choose a)
Correct me if wrong
List the numbers up from 3/10 - 6/19 - 3/8 - 11/30 - 12 / 31
Look for the pattern - obviously they want something from us that involves 1/3 because all numbers are suspiciously close to 1/3
So let's check
3/10 = 0,30 -> another way to check is to perform 3*3 which is 9 and means it is slightly smaller then 1/3
6/19 = x -> 6*3 = 18 so this one is slightly smaller than 1/3 as well
Now with the following three you immediately are going to recognize that all of the numbers *3 lead to something greater then the whole fraction, which means all of those numbers are greater then 1/3 and therefore can be eliminated.
With the last two numbers you probably have several options to check which one is larger / smaller, I just went with simple divsion.
Because I already knew that 10/30 is 0.30 so I basically wrote 6/19 and immediately saw that it's something like 0.31xxxx
So therefore I choose a)
Correct me if wrong
