SOLUTION: What number is between 0.6 and 7/9? A. 23/27 B. 20/27 C. 14/27 D. 1/3

Question 871083: What number is between 0.6 and 7/9?
A. 23/27
B. 20/27
C. 14/27
D. 1/3
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
I assume that calculating approximate decimal values with a calculator and comparing them is considered cheating.
The traditional way to compare fractions, is to express them all with a common denominator.
Sometimes, depending on the particular numbers, there is an easier way, but I do not see an easier way this time.
is a multiple of and a multiple of ,
but has no factor in common with prime number ,
so the least common multiple (the smallest common denominator) is

A. ,
so is not between and
B.
If there is only one right answer,
since ,

In fact the other two numbers are not between and :
C. and
D.
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