Compare fractions using diagrams with this Brighterly worksheet—shade circles and choose the correct symbol.

Let’s go through each problem one by one. We’ll compare the fractions by thinking about how much of the circle is shaded — more shaded means a bigger fraction.

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1) Already done: 1/2 > 1/3

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2) Compare 1/3 and 1/4

- 1/3 means 1 part out of 3 equal parts → bigger pieces
- 1/4 means 1 part out of 4 equal parts → smaller pieces
→ So, 1/3 is bigger than 1/4
✔ 1/3 > 1/4

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3) Compare 1/5 and 1/3

- 1/5 = 1 piece from 5 → very small
- 1/3 = 1 piece from 3 → bigger than 1/5
→ So, 1/5 is smaller
✔ 1/5 < 1/3

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4) Compare 1/2 and 2/4

- 1/2 = half the circle
- 2/4 = also half the circle (because 2 out of 4 is same as 1 out of 2)
→ They are equal!
✔ 1/2 = 2/4

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5) Compare 3/4 and 2/3

- 3/4 = 3 out of 4 parts → almost full
- 2/3 = 2 out of 3 parts → less than 3/4? Let’s think:
- If you split into 12 parts (common denominator):
- 3/4 = 9/12
- 2/3 = 8/12
→ 9/12 > 8/12 → so 3/4 > 2/3
✔ 3/4 > 2/3

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6) Compare 2/5 and 1/2

- 2/5 = 2 out of 5 → less than half (since half of 5 is 2.5)
- 1/2 = exactly half
→ So 2/5 is less than 1/2
✔ 2/5 < 1/2

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7) Compare 1/3 and 2/6

- 2/6 simplifies to 1/3 (divide top and bottom by 2)
→ So they are equal
✔ 1/3 = 2/6

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8) Compare 1/4 and 1/5

- 1/4 = 1 out of 4 → bigger piece
- 1/5 = 1 out of 5 → smaller piece
→ So 1/4 is bigger
✔ 1/4 > 1/5

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9) Compare 3/5 and 3/4

- Same numerator (3), but different denominators
- More parts in denominator → smaller each piece
- So 3/5 = 3 small pieces, 3/4 = 3 bigger pieces
→ 3/4 is bigger
✔ 3/5 < 3/4

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10) Compare 5/6 and 2/2

- 2/2 = whole circle = 1
- 5/6 = almost whole, but not quite
→ So 5/6 is less than 1
✔ 5/6 < 2/2

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Final Answer:

1) 1/2 > 1/3
2) 1/3 > 1/4
3) 1/5 < 1/3
4) 1/2 = 2/4
5) 3/4 > 2/3
6) 2/5 < 1/2
7) 1/3 = 2/6
8) 1/4 > 1/5
9) 3/5 < 3/4
10) 5/6 < 2/2