Grade 2 math worksheet comparing fractions with same numerators and different denominators using visual models.

Let's solve the worksheet step by step. The goal is to compare fractions with the same numerators but different denominators.

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🔍 Key Concept:

When numerators are the same, the fraction with the smaller denominator is larger, because it represents a larger part of the whole.

For example:
- $ \frac{1}{3} > \frac{1}{4} $, because 1 out of 3 parts is bigger than 1 out of 4 parts.
- $ \frac{2}{4} > \frac{2}{5} $, because each piece in $ \frac{2}{4} $ is larger than each piece in $ \frac{2}{5} $.

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## ✔ Part 1: Circle the fractions that are GREATER

We compare pairs and circle the one that is greater.

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Row 1:

1. $ \frac{1}{3} $ vs $ \frac{1}{4} $
→ Same numerator (1), smaller denominator = $ \frac{1}{3} $ is greater
✔ Circle $ \frac{1}{3} $

2. $ \frac{1}{2} $ vs $ \frac{1}{3} $
→ $ \frac{1}{2} $ has smaller denominator → greater
✔ Circle $ \frac{1}{2} $

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Row 2:

3. $ \frac{2}{4} $ vs $ \frac{2}{3} $
→ Same numerator (2), smaller denominator = $ \frac{2}{3} $ is greater
✔ Circle $ \frac{2}{3} $

4. $ \frac{2}{10} $ vs $ \frac{2}{5} $
→ $ \frac{2}{5} $ has smaller denominator → greater
✔ Circle $ \frac{2}{5} $

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## ✔ Part 2: Circle the fractions that are SMALLER

Now we look for the smaller fraction in each pair.

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Row 1:

1. $ \frac{3}{8} $ vs $ \frac{3}{6} $
→ Same numerator (3), smaller denominator = $ \frac{3}{6} $ is greater, so $ \frac{3}{8} $ is smaller
✔ Circle $ \frac{3}{8} $

2. $ \frac{5}{8} $ vs $ \frac{5}{16} $
→ $ \frac{5}{16} $ has larger denominator → smaller
✔ Circle $ \frac{5}{16} $

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Row 2:

3. $ \frac{2}{6} $ vs $ \frac{2}{16} $
→ $ \frac{2}{16} $ has larger denominator → smaller
✔ Circle $ \frac{2}{16} $

4. $ \frac{4}{6} $ vs $ \frac{4}{16} $
→ $ \frac{4}{16} $ has larger denominator → smaller
✔ Circle $ \frac{4}{16} $

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## ✔ Final Answers:

Circle the fractions that are GREATER:

- $ \frac{1}{3} $
- $ \frac{1}{2} $
- $ \frac{2}{3} $
- $ \frac{2}{5} $

Circle the fractions that are SMALLER:

- $ \frac{3}{8} $
- $ \frac{5}{16} $
- $ \frac{2}{16} $
- $ \frac{4}{16} $

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📌 Summary:

When comparing fractions with same numerators, just compare denominators:
- Smaller denominator → larger fraction
- Larger denominator → smaller fraction

This makes sense because dividing a whole into fewer parts means each part is bigger.

✔ All answers are based on this rule!