SOLUTION: Which number is between 0.5 and 8/9 ? a. 7/24 b. 22/24 c. 19/24 d. 1/3

Question 844757: Which number is between 0.5 and 8/9 ?
a. 7/24
b. 22/24
c. 19/24
d. 1/3
Found 2 solutions by rfer, KMST:
Answer by rfer(16322) (Show Source): You can put this solution on YOUR website!
C)
19/24
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
and is greater than .
You should know that and that ,
so and are not between and .
The other two fractions are greater than , because
.
is greater than because ,
and since "non of the above" is not a choice, the answer is .
For a multiple choice test, the reasoning above gets you to the answer faster.

ANOTHER WAY:
Maybe you were expected to express all those fractions with as a common denominator,
but that as a way to the answer that is neither quick and efficient, nor smart, nor enjoyable:

and since ,
is the answer.
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