Which number is between 0.6 and 7/9
a 23/27
b 31/45
c 14/27
d 1/3

The best way to find the answer is to convert the fractions to decimals using a calculator.
(7/9) is (0.7777). This means that we are looking for a number between 0.6 and 0.7777.
A. (23/27) is .8519. This is not the answer.
B. (31/45) is .6889. This falls in between 0.6 and 0.777 because 0.6 is less than 0.6889 and 0.7777 is greater than 0.6889.

There is no reason to look at C and D because we know that B is the answer.