Greater Than Less Than Worksheets - Math-Aids.Com - Free Printable

Let's solve each of these fraction comparison problems step by step. We need to determine whether the first fraction is greater than (>), less than (<), or equal to (=) the second fraction.

We'll use common denominators or decimal equivalents to compare them easily.

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1) 1/2 □ 2/3

- Convert to common denominator:
$ \frac{1}{2} = \frac{3}{6},\quad \frac{2}{3} = \frac{4}{6} $
→ $ \frac{3}{6} < \frac{4}{6} $
✔ <

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2) 6/8 □ 2/3

- Simplify: $ \frac{6}{8} = \frac{3}{4} $
- Compare $ \frac{3}{4} $ and $ \frac{2}{3} $
- Common denominator: 12
$ \frac{3}{4} = \frac{9}{12},\quad \frac{2}{3} = \frac{8}{12} $
→ $ \frac{9}{12} > \frac{8}{12} $
✔ >

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3) 1/2 □ 1/2

- Same fractions → equal
✔ =

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4) 1/4 □ 4/5

- $ \frac{1}{4} = 0.25,\quad \frac{4}{5} = 0.8 $
→ $ 0.25 < 0.8 $
✔ <

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5) 3/5 □ 1/6

- $ \frac{3}{5} = 0.6,\quad \frac{1}{6} \approx 0.1667 $
→ $ 0.6 > 0.1667 $
✔ >

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6) 1/3 □ 6/8

- $ \frac{6}{8} = \frac{3}{4} = 0.75,\quad \frac{1}{3} \approx 0.333 $
→ $ 0.333 < 0.75 $
✔ <

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7) 4/8 □ 1/4

- $ \frac{4}{8} = \frac{1}{2} = 0.5,\quad \frac{1}{4} = 0.25 $
→ $ 0.5 > 0.25 $
✔ >

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8) 3/6 □ 3/8

- $ \frac{3}{6} = \frac{1}{2} = 0.5,\quad \frac{3}{8} = 0.375 $
→ $ 0.5 > 0.375 $
✔ >

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9) 5/6 □ 7/8

- Common denominator: 24
$ \frac{5}{6} = \frac{20}{24},\quad \frac{7}{8} = \frac{21}{24} $
→ $ \frac{20}{24} < \frac{21}{24} $
✔ <

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10) 3/5 □ 2/8

- $ \frac{2}{8} = \frac{1}{4} = 0.25,\quad \frac{3}{5} = 0.6 $
→ $ 0.6 > 0.25 $
✔ >

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11) 2/4 □ 2/6

- $ \frac{2}{4} = \frac{1}{2},\quad \frac{2}{6} = \frac{1}{3} $
- $ \frac{1}{2} = 0.5,\quad \frac{1}{3} \approx 0.333 $
→ $ 0.5 > 0.333 $
✔ >

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12) 7/8 □ 1/2

- $ \frac{7}{8} = 0.875,\quad \frac{1}{2} = 0.5 $
→ $ 0.875 > 0.5 $
✔ >

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13) 1/2 □ 1/4

- $ \frac{1}{2} = 0.5,\quad \frac{1}{4} = 0.25 $
→ $ 0.5 > 0.25 $
✔ >

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14) 1/4 □ 4/6

- $ \frac{4}{6} = \frac{2}{3} \approx 0.666,\quad \frac{1}{4} = 0.25 $
→ $ 0.25 < 0.666 $
✔ <

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15) 3/5 □ 4/6

- $ \frac{4}{6} = \frac{2}{3} \approx 0.666,\quad \frac{3}{5} = 0.6 $
→ $ 0.6 < 0.666 $
✔ <

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16) 1/3 □ 3/5

- $ \frac{1}{3} \approx 0.333,\quad \frac{3}{5} = 0.6 $
→ $ 0.333 < 0.6 $
✔ <

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17) 4/8 □ 1/3

- $ \frac{4}{8} = \frac{1}{2} = 0.5,\quad \frac{1}{3} \approx 0.333 $
→ $ 0.5 > 0.333 $
✔ >

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18) 1/2 □ 1/4

- $ \frac{1}{2} = 0.5,\quad \frac{1}{4} = 0.25 $
→ $ 0.5 > 0.25 $
✔ >

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19) 1/4 □ 1/2

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

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20) 2/3 □ 2/3

- Same fractions → equal
✔ =

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✔ Final Answers:

1) <
2) >
3) =
4) <
5) >
6) <
7) >
8) >
9) <
10) >
11) >
12) >
13) >
14) <
15) <
16) <
17) >
18) >
19) <
20) =

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✔ You can now fill in the boxes accordingly! Let me know if you'd like a printable version or explanation for any specific one.