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Fractions and Decimals

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Hello Math Explorer! Get ready for an exciting adventure.

Each topic has fun activities and games to help you learn. Complete all sections to learn well!

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Math Adventure Complete! 🎉

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Understanding Equivalent Fractions

Equivalent fractions are fractions that represent the same value, even though they look different. For example, 1/2, 2/4, and 4/8 are all equivalent.

Think of a pizza: half a pizza (1/2) is the same as 2 quarters (2/4) or 4 eighths (4/8). The amount of pizza stays the same!

To create equivalent fractions, multiply or divide both the numerator and denominator by the same number.

1/2
One half of a whole.
2/4
Two fourths = 1/2
4/8
Four eighths = 1/2

Concept of Multiplier (Scaling)

A multiplier is a number that scales both parts of a fraction or ratio equally. When you multiply both numbers by the same multiplier, the relationship stays the same.

Think of a recipe: if you double everything (multiply by 2), the taste stays the same. If you only double one ingredient, it won't taste right!

Example: 3/5 × 2 = 6/10. We multiplied both 3 and 5 by 2, so the fractions are equivalent.

Visual Example of Scaling

3/5
Original
×2 →
6/10
Scaled

Both the numerator (3→6) and denominator (5→10) were multiplied by 2

Score: 0
Click on pie segments to adjust fractions. Select pie charts that match the target fraction's value.
Find fractions equal to: 1/2
Convert this improper fraction to a mixed number!
14/6
📊 Calculation Breakdown
Colored pieces:
14
6
Pieces per whole: 6
✅ Final Answer
= 2 Wholes +
2
6
= 2
2
6

How to Play

  • Explore: Click on any pie segment to adjust the fraction. Watch how the portion changes!
  • Target: Look at the target fraction and its pie chart shown at the top.
  • Find Matches: Select pie charts that share an equal portion to the target fraction.
  • Check: Click "Check My Answer" to see if you found all equivalent fractions.
  • Learn: The game will highlight correct matches in green and show you which ones you missed.
  • Progress: Earn points for each correct answer!

Remember: Equivalent fractions look different but represent the same amount. For example, 1/2 = 2/4 = 3/6!

How to Play

  • Split Circles: Press the + button to split the unsplit circles into segments.
  • Hide Splits: Press the - button to hide the most recent split.
  • Color Segments: Click on individual pie segments to color or uncolor them.
  • Watch Calculation: The right panel shows you step-by-step how to convert the improper fraction.
  • Understand Division: See how dividing the numerator by the denominator gives you whole numbers and remainder.
  • Check: Click "Check Answer" when your colored pieces match the numerator.
  • Example: For 14/6: 14 ÷ 6 = 2 (quotient) with 2 remaining. So 14/6 = 2 2/6

Tip: Keep splitting circles and coloring segments until your total colored pieces equals the numerator!