Math worksheet designed to help students practice ordering fractions from least to greatest and greatest to least.

To solve the problem of ordering the fractions in ascending or descending order, we need to compare the fractions and arrange them accordingly. Let's go through each set step by step.

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Set 1:

Fractions: \( \frac{1}{5}, \frac{3}{5}, \frac{4}{5}, \frac{2}{5} \)

#### Step 1: Compare the fractions
All these fractions have the same denominator (5). When the denominators are the same, we can compare the numerators directly:
- Numerators: \( 1, 3, 4, 2 \)

#### Step 2: Arrange in ascending order
Arrange the numerators in ascending order: \( 1 < 2 < 3 < 4 \).

Thus, the fractions in ascending order are:
\[ \frac{1}{5} < \frac{2}{5} < \frac{3}{5} < \frac{4}{5} \]

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Set 2:

Fractions: \( \frac{9}{9}, \frac{3}{9}, \frac{6}{9}, \frac{8}{9} \)

#### Step 1: Compare the fractions
All these fractions have the same denominator (9). When the denominators are the same, we can compare the numerators directly:
- Numerators: \( 9, 3, 6, 8 \)

#### Step 2: Arrange in descending order
Arrange the numerators in descending order: \( 9 > 8 > 6 > 3 \).

Thus, the fractions in descending order are:
\[ \frac{9}{9} > \frac{8}{9} > \frac{6}{9} > \frac{3}{9} \]

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Set 3:

Fractions: \( \frac{1}{5}, \frac{1}{4}, \frac{1}{2}, \frac{1}{7} \)

#### Step 1: Compare the fractions
These fractions have different denominators. To compare them, we can use the fact that the larger the denominator, the smaller the fraction (when the numerator is the same):
- Denominators: \( 5, 4, 2, 7 \)

#### Step 2: Arrange in ascending order
Since the numerators are all 1, the fractions with larger denominators are smaller. Arrange the denominators in ascending order of their size:
\[ 7 > 5 > 4 > 2 \]
Thus, the fractions in ascending order are:
\[ \frac{1}{7} < \frac{1}{5} < \frac{1}{4} < \frac{1}{2} \]

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Set 4:

Fractions: \( \frac{2}{4}, \frac{2}{5}, \frac{2}{2}, \frac{2}{9} \)

#### Step 1: Compare the fractions
These fractions have the same numerator (2). When the numerators are the same, the fraction with the smaller denominator is larger:
- Denominators: \( 4, 5, 2, 9 \)

#### Step 2: Arrange in descending order
Arrange the denominators in ascending order (since smaller denominators mean larger fractions):
\[ 2 < 4 < 5 < 9 \]
Thus, the fractions in descending order are:
\[ \frac{2}{2} > \frac{2}{4} > \frac{2}{5} > \frac{2}{9} \]

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Set 5:

Fractions: \( \frac{6}{3}, \frac{6}{9}, \frac{6}{6}, \frac{6}{8} \)

#### Step 1: Compare the fractions
These fractions have the same numerator (6). When the numerators are the same, the fraction with the smaller denominator is larger:
- Denominators: \( 3, 9, 6, 8 \)

#### Step 2: Arrange in ascending order
Arrange the denominators in descending order (since larger denominators mean smaller fractions):
\[ 9 > 8 > 6 > 3 \]
Thus, the fractions in ascending order are:
\[ \frac{6}{9} < \frac{6}{8} < \frac{6}{6} < \frac{6}{3} \]

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Final Answer:

\[
\boxed{
\begin{array}{l}
\text{Set 1: } \frac{1}{5} < \frac{2}{5} < \frac{3}{5} < \frac{4}{5} \\
\text{Set 2: } \frac{9}{9} > \frac{8}{9} > \frac{6}{9} > \frac{3}{9} \\
\text{Set 3: } \frac{1}{7} < \frac{1}{5} < \frac{1}{4} < \frac{1}{2} \\
\text{Set 4: } \frac{2}{2} > \frac{2}{4} > \frac{2}{5} > \frac{2}{9} \\
\text{Set 5: } \frac{6}{9} < \frac{6}{8} < \frac{6}{6} < \frac{6}{3}
\end{array}
}
\]