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The difference between the greatest and least numbers among $\frac{5}{9}, \frac{1}{9}, \frac{11}{9}$ is:

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\frac{2}{9}

\frac{4}{9}

\frac{10}{9}

\frac{2}{3}

answer is C.

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Detailed Solution

Given,

\frac{5}{9}, \frac{1}{9}

and

\frac{11}{9}

.
The denominator of all the fractions are same, so the fraction with highest numerator is the largest fraction and the smallest numerator is the smallest fraction.
Amongst the given fractions, the smallest is

\frac{1}{9}

and the largest is

\frac{11}{9}

.
Now, consider the subtraction of the greatest and least fraction as follows:

\Rightarrow \frac{11}{9} - \frac{1}{9} = \frac{10}{9}

Hence, the difference between the greatest and least numbers is

\frac{10}{9}

.
Therefore, option (3) is correct.

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