How to determine which fraction is larger plus Free Worksheet

 

🥧 Which Fraction is Bigger? Easy Ways to Compare Fractions!

Which is larger: 3/4 or 5/8? What about 1/3 or 2/5?
Good news—fractions can be compared just like whole numbers, and there are a few simple tricks to make it easy!

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🔍 Method 1: Find a Common Denominator

Make the bottoms (denominators) the same so you can compare the tops (numerators).

✏️ Example 1:

Compare 3/4 and 5/8

• Common denominator of 4 and 8 = 8
• Convert:
  3/4 = 6/8
  5/8 = 5/8

👉 6/8 > 5/8, so 3/4 is larger

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✏️ Example 2:

Compare 1/3 and 2/5

• Common denominator of 3 and 5 = 15
• Convert:
  1/3 = 5/15
  2/5 = 6/15

👉 6/15 > 5/15, so 2/5 is larger

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🔄 Method 2: Make Equivalent Fractions

Sometimes converting fractions shows they are actually the same!

✏️ Example 3:

Compare 4/5 and 8/10

• 4/5 = 8/10

👉 They are equal!

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⚡ Method 3: Cross Multiply (Fast Trick)

Multiply diagonally and compare the results.

✏️ Example 4:

Compare 3/4 and 5/8

• 3 × 8 = 24
• 5 × 4 = 20

👉 24 > 20, so 3/4 is larger

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✏️ Example 5:

Compare 1/3 and 2/5

• 1 × 5 = 5
• 2 × 3 = 6

👉 6 > 5, so 2/5 is larger

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🧠 Quick Tips

• Same denominator? 👉 Compare numerators
• Same numerator? 👉 Smaller denominator = bigger fraction
• Different fractions? 👉 Use common denominator or cross multiply

Comparing Fractions Worksheet

MooMooMath and Science

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