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Which number line represents the correct order of the fractions $\frac{7}{9}, \frac{5}{9}, \frac{2}{9}, \frac{4}{9}$ ?

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answer is C.

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Detailed Solution

The given fractions are $\frac{7}{9}, \frac{5}{9}, \frac{2}{9}, \frac{4}{9}$ .

The fraction $\frac{7}{9}$ means seven parts out of nine equal parts.

The fraction $\frac{5}{9}$ means five parts out of nine equal parts.

The fraction $\frac{2}{9}$ means two parts out of nine equal parts.

The fraction $\frac{4}{9}$ means four parts out of nine equal parts.

The denominator in each of the given fractions is 9.

The portion that lies between 0 and 1 on the number line can be divided into 9 equal parts as:

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The given fractions can now be located on the number line as:

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