Compare Like Denominators

Grade 3 · fractions · 89 practice problems · read aloud

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Comparing Fractions with Like Denominators 🧮

What is it and Why is it Useful?

Comparing fractions with like denominators means looking at fractions that have the same bottom number (the denominator). This skill helps us figure out which fraction is bigger or smaller, which is super useful for sharing food, measuring ingredients, or solving puzzles!

How to Solve It: Step-by-Step

  1. Step 1: Look at the denominators (the bottom numbers). Are they the same? If YES, you're ready!
  2. Step 2: Compare the numerators (the top numbers). The fraction with the larger numerator is the larger fraction.
  3. Step 3: That's it! You've found your answer.

Let's Look at Some Examples

Example 1: Compare 2/5 and 3/5

✅ Denominators are the same (both are 5).

✅ Compare numerators: 2 vs. 3.

✅ Since 3 is greater than 2, 3/5 is larger.

Answer: 2/5 < 3/5

Example 2: Compare 7/8 and 5/8

✅ Denominators are the same (both are 8).

✅ Compare numerators: 7 vs. 5.

✅ Since 7 is greater than 5, 7/8 is larger.

Answer: 7/8 > 5/8

Watch Out! Common Mistakes

🚫 Mistake: Thinking the fraction with the larger denominator is bigger.

💡 Fix: Remember, we only compare the numerators when the denominators are the same!

Tips & Tricks

🌟 Pizza Slice Trick: Imagine two pizzas cut into the same number of slices (that's the denominator). Who has more slices (the numerator)? That person has more pizza!

🌟 Memory Aid: "Same bottom? Look at the top!"

How to Practice

  • Use fraction circles or strips to see the sizes.
  • Ask a friend: "Which is bigger, 3/4 or 2/4?" and explain why.
  • Create your own problems by drawing two circles divided into equal parts and shading different amounts.

Practice problems

6 of the 89, worked through step by step — try them before opening the answer.

1 4/6 ? 2/6

Hint: When fractions have the same denominator, look at the numerators to decide which is larger.

Show the answer

Answer: >

  1. Both fractions have the same denominator, 6.
  2. Compare the numerators: 4 and 2.
  3. Since 4 is greater than 2, 4/6 is greater than 2/6.
  4. The correct symbol is >.

The answer is >.

2 7/9 ? 4/9

Hint: When fractions have the same denominator, compare the numerators. The fraction with the larger numerator is the larger fraction.

Show the answer

Answer: >

  1. Both fractions have the same denominator of 9.
  2. Compare the numerators: 7 and 4.
  3. Since 7 is greater than 4, 7/9 is greater than 4/9.
  4. The correct comparison symbol is >.

The answer is >.

3 3/7 ? 5/7

Hint: When two fractions have the same denominator, the fraction with the smaller numerator is the smaller fraction.

Show the answer

Answer: <

  1. Both fractions have the same denominator of 7.
  2. Compare the numerators: 3 and 5.
  3. Since 3 is less than 5, 3/7 is less than 5/7.
  4. The correct comparison symbol is <.

The answer is <.

4 5/9 ? 7/9

Hint: When two fractions have the same denominator, compare the numerators. The fraction with the smaller numerator is the smaller fraction.

Show the answer

Answer: <

  1. Both fractions have the same denominator of 9.
  2. Compare the numerators: 5 and 7.
  3. Since 5 is less than 7, 5/9 is less than 7/9.
  4. The correct comparison symbol is <.

The answer is <.

5 4/8 ? 6/8

Hint: When two fractions share the same denominator, compare the numerators. The fraction with the smaller numerator is the smaller fraction.

Show the answer

Answer: <

  1. Both fractions have the same denominator of 8.
  2. Compare the numerators: 4 and 6.
  3. Since 4 is less than 6, 4/8 is less than 6/8.
  4. The correct comparison symbol is <.

The answer is <.

6 3/8 > 5/8 ?

  1. A) true
  2. B) false

Hint: When fractions have the same bottom number, compare the top numbers to see which is larger.

Show the answer

Answer: B) false

  1. Compare the denominators. Both fractions have the same denominator, which is 8.
  2. Compare the numerators. The numerator of the first fraction is 3. The numerator of the second fraction is 5.
  3. Apply the rule for comparing fractions with the same denominator. When denominators are equal, the fraction with the larger numerator is larger.
  4. Compare 3 and 5. 3 is less than 5, so 3/8 is less than 5/8.
  5. Check the original statement: "3/8 > 5/8". Since 3/8 is less than 5/8, the statement is false. Final Answer: false
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