What is the easiest and quickest way to answer this question, without the use of calculator and long division, but use only mathematical knowledge and arithmetic manipulation?
Here is the question: Which of the following is greater than 2/3?
A) 33/50
B) 8/11
C) 3/5
D) 13/27
E) 5/8
Please provide your answer with step-by-step explanation and do not use calculator.
Thank
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Answers & Comments
Verified answer
Find a least common denominator (or an easy-to-work-with denominator) between what you have and 1/3.
33/50 = 99/150
2/3 = 100/150
So 33/50 is lower.
8/11 = 24/33
2/3 = 22/33
So 8/11 is higher.
Have your brain work with simple math
process of elimination tells me it's
B
I have to find a common denominator ...SO the quick and easy way for me is just multiply the 3 (from 2/3) with the denominator of every option
3 x 11 = 33 = the common denominator.
then i take the denominator from the 2 fractions and use it to figure out the numerator for each one
sooo..11 x 2 = 22 and I will have 22/33 for 2/3
then i use the other denominator to figure out the remaining fraction
11 x 3 = 33 (common denominator)
and 3 x 8 = 24 and i will have 24/33
well (24/33) is bigger than (22/33) so i stopped at B and would use this process to figure out the rest , if any :)
answer is 8/11 because the denominator if rounded down to 10 would give 80% so this would be the easiest and quickest way to answer this question.
you could change them each to decimals, and then you'd know. Just divide the top number by the bottom to change it to a decimal.
2/3= .67
33/50= .66
8/11=.72
3/5=.6
13/27= .48
5/8= .63
So E) 8/11 is larger then 2/3
All can be done by clearing the fractions.
So for example a: 2/3 vs 33/50
Multiply both sides by 3* 50
50*2 vs 3* 33
And this you can work out without a calculator.
go for it.
A] .66; B] .72; C] .60; D] .4; E] .63; Answer=B!
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