beater wrote:Which of the following is greater than 2/3?
a. 33/50
b. 8/11
c. 3/5
d. 13/27
e. 5/8
Could you please explain an easy and time efficient way to solve such problems that requires comparing fractions. Thanks!
There are a few techniques that can be used to compare fractions, but in this case, the fractions are relatively easy to work with:
33/50 = 66/100 = 0.66
3/5 = 6/10 = 0.6
13/27 is less than 13/26, so is less than 1/2 = 0.5
5/8 = 4/8 + 1/8 = 0.5 + 0.125 = 0.625
More importantly, though:
2/3 = 8/12 which must be less than 8/11, since 8/12 has the larger denominator (and since we're only dealing with positive numbers).
cramya's approach above is also great- there are several ways to look at these kinds of problems.
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