MathIsimple
Lesson 3-2: Comparing Fractions

Comparing Fractions

Learn to compare fractions using visual models, number lines, and common denominators through interactive activities.

45 minutesFraction ComparisonPizza SharingVisual Models
Learning Scenario: Pizza Sharing Comparison

The Challenge:

You and your friends are sharing pizzas. You get 2/3 of one pizza, and your friend gets 2/5 of another pizza. Who got more pizza? Let's compare these fractions!

Pizza Comparison Challenge

Fraction Comparison:

You: 2/3 of a pizza
Friend: 2/5 of a pizza
Same numerator (2), different denominators
Answer: 2/3 > 2/5 (you got more!)

Learning Activities

Master fraction comparison through interactive activities and visual models

Knowledge Points Display
Activity 1
Learn fraction comparison with our friendly math teacher. Master visual models through interactive demonstrations.

Key Features:

  • Interactive fraction models
  • Step-by-step comparison process
  • Visual comparison strategies
  • Progress tracking with milestones

Skills You'll Learn:

  • Compare fractions with same denominators
  • Compare fractions with same numerators
  • Use visual models to compare
  • Order fractions from least to greatest
Interactive Practice
Activity 2
Practice fraction comparison through pizza sharing scenarios. Learn to compare fractions using visual models.

Key Features:

  • Pizza sharing simulation
  • Interactive fraction comparison
  • Visual model guidance
  • Real-world applications

Skills You'll Learn:

  • 1/2 vs 1/4 - which is larger?
  • 2/3 vs 2/5 - which is larger?
  • 3/4 vs 1/2 - which is larger?
  • Order: 1/4, 1/2, 3/4
Examples Library
Activity 3
Explore various fraction comparison examples with different strategies and practice problems.

Key Features:

  • Multiple comparison types
  • Different visual strategies
  • Step-by-step solutions
  • Interactive practice problems

Examples:

  • 1/2 > 1/4 (same numerator, smaller denominator)
  • 2/3 > 2/5 (same numerator, smaller denominator)
  • 3/4 > 1/2 (different numerators and denominators)
  • 1/3 < 2/3 (same denominator, larger numerator)
Fraction Comparison Guide

Comparison Rules:

Same denominator

Larger numerator = larger fraction

Example: 3/4 > 1/4

Same numerator

Smaller denominator = larger fraction

Example: 2/3 > 2/5

Different both

Use visual models or number lines

Example: 3/4 vs 1/2

Visual Strategies:

Fraction circles

Shade parts to compare visually

Number lines

Plot fractions to see which is larger

Bar models

Draw bars to compare lengths

Cross multiply

For more advanced comparisons

Practice Examples

Pizza Sharing Problems:

1/2 vs 1/4: 1/2 > 1/4 (same numerator, smaller denominator)

2/3 vs 2/5: 2/3 > 2/5 (same numerator, smaller denominator)

3/4 vs 1/2: 3/4 > 1/2 (different numerators and denominators)

1/3 vs 2/3: 1/3 < 2/3 (same denominator, larger numerator)

Ordering Fractions:

From least to greatest:

1/4, 1/2, 3/4

From greatest to least:

3/4, 1/2, 1/4

Mixed fractions:

1/3, 2/5, 1/2, 3/4