Comparing fractions using shaded circle diagrams.

Let’s solve each pair of circles step by step.

We need to:
1. Write the fraction for the shaded part of each circle.
2. Compare the two fractions using >, <, or =.

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First Pair (Top Left):

Left circle: Divided into 5 equal parts, 2 are shaded → 2/5

Right circle: Divided into 10 equal parts, 3 are shaded → 3/10

Compare 2/5 and 3/10.

Convert 2/5 to tenths:
2/5 = 4/10

Now compare 4/10 and 3/10 → 4/10 > 3/10

So: 2/5 > 3/10

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Second Pair (Top Right):

Left circle: Divided into 3 equal parts, 2 are shaded → 2/3

Right circle: Divided into 6 equal parts, 4 are shaded → 4/6

Simplify 4/6 → divide numerator and denominator by 2 → 2/3

So: 2/3 = 4/6

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Third Pair (Middle Left):

Left circle: Divided into 8 equal parts, 2 are shaded → 2/8

Right circle: Divided into 3 equal parts, 1 is shaded → 1/3

Compare 2/8 and 1/3.

Simplify 2/8 → 1/4

Now compare 1/4 and 1/3.

Think: Which is bigger? A piece cut into 4 parts vs. a piece cut into 3 parts — the 1/3 piece is bigger.

Or use common denominator:
1/4 = 3/12
1/3 = 4/12
→ 3/12 < 4/12 → so 1/4 < 1/3

Thus: 2/8 < 1/3

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Fourth Pair (Middle Right):

Left circle: Divided into 2 equal parts, 1 is shaded → 1/2

Right circle: Divided into 8 equal parts, 3 are shaded → 3/8

Compare 1/2 and 3/8.

Convert 1/2 to eighths: 1/2 = 4/8

Now compare 4/8 and 3/8 → 4/8 > 3/8

So: 1/2 > 3/8

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Fifth Pair (Bottom Left):

Left circle: Divided into 4 equal parts, 2 are shaded → 2/4

Right circle: Divided into 8 equal parts, 5 are shaded → 5/8

Simplify 2/4 → 1/2

Compare 1/2 and 5/8.

Convert 1/2 to eighths: 1/2 = 4/8

Now compare 4/8 and 5/8 → 4/8 < 5/8

So: 2/4 < 5/8

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Sixth Pair (Bottom Right):

Left circle: Divided into 6 equal parts, 3 are shaded → 3/6

Right circle: Divided into 2 equal parts, 1 is shaded → 1/2

Simplify 3/6 → 1/2

So: 3/6 = 1/2

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Final Answer:

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