SOLUTION: What number is between 6/11 and 0.67? 0.67 is a repeating decimal. A. 11/18 B. 69/99 C. 24/33 D. 26/55

Question 871085: What number is between 6/11 and 0.67? 0.67 is a repeating decimal.
A. 11/18
B. 69/99
C. 24/33
D. 26/55
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
If by 0.67 you mean a repeating decimal, it must be

It would be easy to use a calculator to get an approximate decimal value for
all the fractions and compare those approximate decimal values, but I assume calculators are not allowed.

Two of the fractions given can be simplified, and simplifying may help.

We can easily compare and to each other and to
B. and C. ,
if we express all four fractions with as a denominator
and
shows us that
and that
the answer is neither B. nor C.

,
So and D. is not the answer either.

The answer must be because that's all that is left.

Let's verify, anyway.
To compare to and we can use as a common denominator

so
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