Ordering Fractions - Worksheet Digital - Free Printable

Let's solve each row of the "Ordering Fractions" worksheet step by step. The goal is to order the fractions from least to greatest.

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Row 1:

Fractions:
$$
\frac{2}{3}, \frac{5}{3}, \frac{1}{3}
$$

- All have the same denominator (3), so we compare numerators:
- $1 < 2 < 5$
- So, ordered:
$$
\frac{1}{3}, \frac{2}{3}, \frac{5}{3}
$$

✔ Answer: $\frac{1}{3}, \frac{2}{3}, \frac{5}{3}$

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Row 2:

Fractions:
$$
\frac{5}{5}, \frac{1}{5}, \frac{3}{5}
$$

- Same denominator (5), compare numerators:
- $1 < 3 < 5$
- So, ordered:
$$
\frac{1}{5}, \frac{3}{5}, \frac{5}{5}
$$

Note: $\frac{5}{5} = 1$

✔ Answer: $\frac{1}{5}, \frac{3}{5}, \frac{5}{5}$

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Row 3:

Fractions:
$$
\frac{3}{4}, \frac{2}{4}, \frac{1}{4}
$$

- Same denominator (4), compare numerators:
- $1 < 2 < 3$
- So, ordered:
$$
\frac{1}{4}, \frac{2}{4}, \frac{3}{4}
$$

✔ Answer: $\frac{1}{4}, \frac{2}{4}, \frac{3}{4}$

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Row 4:

Fractions:
$$
\frac{5}{9}, \frac{2}{9}, \frac{1}{9}
$$

- Same denominator (9), compare numerators:
- $1 < 2 < 5$
- So, ordered:
$$
\frac{1}{9}, \frac{2}{9}, \frac{5}{9}
$$

✔ Answer: $\frac{1}{9}, \frac{2}{9}, \frac{5}{9}$

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Row 5:

Fractions:
$$
\frac{1}{6}, \frac{4}{6}, \frac{2}{6}
$$

- Same denominator (6), compare numerators:
- $1 < 2 < 4$
- So, ordered:
$$
\frac{1}{6}, \frac{2}{6}, \frac{4}{6}
$$

✔ Answer: $\frac{1}{6}, \frac{2}{6}, \frac{4}{6}$

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✔ Final Answers:

1. $\frac{1}{3}, \frac{2}{3}, \frac{5}{3}$
2. $\frac{1}{5}, \frac{3}{5}, \frac{5}{5}$
3. $\frac{1}{4}, \frac{2}{4}, \frac{3}{4}$
4. $\frac{1}{9}, \frac{2}{9}, \frac{5}{9}$
5. $\frac{1}{6}, \frac{2}{6}, \frac{4}{6}$

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🔍 Explanation:

When fractions have the same denominator, you can simply compare the numerators. The fraction with the smaller numerator is smaller in value.

This makes ordering easy — just list the fractions in increasing order of their numerators.

Let me know if you'd like a version with simplified fractions or visual representations!