Comparing & Ordering Fractions Grade 6 worksheet - Free Printable

Let's solve the "Comparing & Ordering Fractions Test 1" step by step.

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Part 1: Compare the fractions using <, >, or =

We need to compare each pair of fractions and fill in the correct symbol.

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#### 1) $\frac{9}{11} \ ?\ \frac{1}{2}$

- $\frac{9}{11} \approx 0.818$, $\frac{1}{2} = 0.5$
- $0.818 > 0.5$ → >

✔ Answer: >

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#### 2) $\frac{1}{3} \ ?\ \frac{2}{11}$

- $\frac{1}{3} \approx 0.333$, $\frac{2}{11} \approx 0.1818$
- $0.333 > 0.1818$ → >

✔ Answer: >

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#### 3) $\frac{8}{12} \ ?\ \frac{2}{5}$

- Simplify $\frac{8}{12} = \frac{2}{3} \approx 0.666$
- $\frac{2}{5} = 0.4$
- $0.666 > 0.4$ → >

✔ Answer: >

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#### 4) $\frac{1}{6} \ ?\ \frac{2}{3}$

- $\frac{1}{6} \approx 0.166$, $\frac{2}{3} \approx 0.666$
- $0.166 < 0.666$ → <

✔ Answer: <

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#### 5) $\frac{3}{12} \ ?\ \frac{1}{6}$

- $\frac{3}{12} = \frac{1}{4} = 0.25$, $\frac{1}{6} \approx 0.166$
- $0.25 > 0.166$ → >

✔ Answer: >

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#### 6) $\frac{2}{7} \ ?\ \frac{5}{10}$

- $\frac{2}{7} \approx 0.2857$, $\frac{5}{10} = 0.5$
- $0.2857 < 0.5$ → <

✔ Answer: <

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#### 7) $\frac{2}{8} \ ?\ \frac{1}{2}$

- $\frac{2}{8} = \frac{1}{4} = 0.25$, $\frac{1}{2} = 0.5$
- $0.25 < 0.5$ → <

✔ Answer: <

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#### 8) $\frac{2}{11} \ ?\ \frac{1}{9}$

- $\frac{2}{11} \approx 0.1818$, $\frac{1}{9} \approx 0.1111$
- $0.1818 > 0.1111$ → >

✔ Answer: >

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#### 9) $\frac{9}{10} \ ?\ \frac{1}{8}$

- $\frac{9}{10} = 0.9$, $\frac{1}{8} = 0.125$
- $0.9 > 0.125$ → >

✔ Answer: >

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#### 10) $\frac{4}{9} \ ?\ \frac{3}{4}$

- $\frac{4}{9} \approx 0.444$, $\frac{3}{4} = 0.75$
- $0.444 < 0.75$ → <

✔ Answer: <

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#### 11) $\frac{6}{10} \ ?\ \frac{8}{9}$

- $\frac{6}{10} = 0.6$, $\frac{8}{9} \approx 0.888$
- $0.6 < 0.888$ → <

✔ Answer: <

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#### 12) $\frac{3}{9} \ ?\ \frac{8}{10}$

- $\frac{3}{9} = \frac{1}{3} \approx 0.333$, $\frac{8}{10} = 0.8$
- $0.333 < 0.8$ → <

✔ Answer: <

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#### 13) $\frac{1}{6} \ ?\ \frac{11}{12}$

- $\frac{1}{6} \approx 0.166$, $\frac{11}{12} \approx 0.9167$
- $0.166 < 0.9167$ → <

✔ Answer: <

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#### 14) $\frac{2}{4} \ ?\ \frac{3}{7}$

- $\frac{2}{4} = \frac{1}{2} = 0.5$, $\frac{3}{7} \approx 0.4286$
- $0.5 > 0.4286$ → >

✔ Answer: >

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#### 15) $\frac{1}{2} \ ?\ \frac{1}{3}$

- $\frac{1}{2} = 0.5$, $\frac{1}{3} \approx 0.333$
- $0.5 > 0.333$ → >

✔ Answer: >

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#### 16) $\frac{5}{7} \ ?\ \frac{2}{5}$

- $\frac{5}{7} \approx 0.714$, $\frac{2}{5} = 0.4$
- $0.714 > 0.4$ → >

✔ Answer: >

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✔ Summary of Part 1:

| No. | Answer |
|-----|--------|
| 1 | > |
| 2 | > |
| 3 | > |
| 4 | < |
| 5 | > |
| 6 | < |
| 7 | < |
| 8 | > |
| 9 | > |
| 10 | < |
| 11 | < |
| 12 | < |
| 13 | < |
| 14 | > |
| 15 | > |
| 16 | > |

(You can now copy these into the boxes.)

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Part 2: Put the following fractions in descending order

Fractions given:
- A: $\frac{13}{16}$
- B: $\frac{19}{24}$
- C: $\frac{10}{12}$
- D: $\frac{4}{6}$
- E: $\frac{6}{8}$

Let’s convert each to decimals for easier comparison.

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#### A: $\frac{13}{16} = 0.8125$

#### B: $\frac{19}{24} \approx 0.7917$

#### C: $\frac{10}{12} = \frac{5}{6} \approx 0.8333$

#### D: $\frac{4}{6} = \frac{2}{3} \approx 0.6667$

#### E: $\frac{6}{8} = \frac{3}{4} = 0.75$

Now list them with values:

- C: $0.8333$
- A: $0.8125$
- B: $0.7917$
- E: $0.75$
- D: $0.6667$

So, descending order:
C > A > B > E > D

That is:
$$
\frac{10}{12} > \frac{13}{16} > \frac{19}{24} > \frac{6}{8} > \frac{4}{6}
$$

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✔ Final Answer for Part 2 (Descending Order):

C, A, B, E, D

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✔ Final Answers:

#### Part 1:
1) >
2) >
3) >
4) <
5) >
6) <
7) <
8) >
9) >
10) <
11) <
12) <
13) <
14) >
15) >
16) >

#### Part 2: Descending Order:
C, A, B, E, D

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Let me know if you'd like this formatted as a printable answer sheet!