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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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Let's Learn About Addition & Subtraction of Fractions!
Adding and Subtracting Fractions are essential math skills that help us combine and compare parts of a whole. When fractions have the same denominator, these operations become much easier!
Discover how to add and subtract fractions with like denominators using visual blocks and real-world examples!
Adding Fractions
When denominators are the same, simply add the numerators!
Example: 2/5 + 1/5 = 3/5
Think of it as combining parts: 2 parts + 1 part = 3 parts out of 5
Example: 2/5 + 1/5 = 3/5
Think of it as combining parts: 2 parts + 1 part = 3 parts out of 5
Subtracting Fractions
When denominators match, subtract the numerators directly!
Example: 4/7 - 2/7 = 2/7
Think of it as taking away parts: 4 parts - 2 parts = 2 parts left out of 7
Example: 4/7 - 2/7 = 2/7
Think of it as taking away parts: 4 parts - 2 parts = 2 parts left out of 7
Key Rule
Same Denominator = Easy Operations!
Keep the denominator, just add or subtract numerators
Simplify your answer if possible
Example: 3/8 + 2/8 = 5/8
Keep the denominator, just add or subtract numerators
Simplify your answer if possible
Example: 3/8 + 2/8 = 5/8
Types of Fractions
Understanding different types of fractions helps us work with them more easily. Let's learn about like and unlike fractions!
Important: We can only add or subtract fractions directly when they have the same denominator (like fractions)!
Like Fractions
Fractions with the same denominator are called like fractions. They represent parts
of the same whole.
Examples: 1/4, 3/4, 2/4
Can be added directly: 1/4 + 3/4 = 4/4 = 1
Can be subtracted directly: 3/4 - 1/4 = 2/4 = 1/2
Can be added directly: 1/4 + 3/4 = 4/4 = 1
Can be subtracted directly: 3/4 - 1/4 = 2/4 = 1/2
Unlike Fractions
Fractions with different denominators are called unlike fractions. They represent
parts of different-sized wholes.
Examples: 1/2, 1/3, 2/5
Need common denominator to add: 1/2 + 1/3 = 3/6 + 2/6 = 5/6
Need common denominator to subtract: 1/2 - 1/3 = 3/6 - 2/6 = 1/6
Need common denominator to add: 1/2 + 1/3 = 3/6 + 2/6 = 5/6
Need common denominator to subtract: 1/2 - 1/3 = 3/6 - 2/6 = 1/6
Equivalent Fractions
Fractions that represent the same value but have different numerators and
denominators.
Examples: 1/2 = 2/4 = 3/6
To find: Multiply or divide numerator and denominator by the same number.
Check: Cross-multiply or simplify to lowest terms.
To find: Multiply or divide numerator and denominator by the same number.
Check: Cross-multiply or simplify to lowest terms.
Stage 1: Identify the First Fraction
👉 What fraction of the cake is shaded?
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Cake 1
Stage 1: Identify the First Fraction
👉 What fraction of the cake is shaded?
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Starting Cake
Mixed Fractions
😊 Question 1: Total number of objects fully coloured = ?
Solve This Problem
👉 Adjust the divisions so both blocks have the same number of pieces!
First Fraction
3
Second Fraction
3
🧩 Match the number of divisions in both blocks.
The answer box will appear once they match.
How to Play Cake Fractions: Addition
- Stage 1 - Identify First Fraction: Look at the first cake and count the shaded slices and total slices. Enter the fraction (shaded/total).
- Stage 2 - Identify Second Fraction: Look at the second cake and enter its fraction.
- Stage 3 - Set Up Addition: Both cakes will appear with a + sign. If denominators differ, watch the cakes re-slice to have equal parts!
- Stage 4 - Visual Solution: See the slices combine into result cake(s). Count the total shaded slices and enter your answer.
- Remember: When adding fractions, we need the same denominator (slice size)!
- Multiple Cakes: If the sum is greater than one whole, you'll see multiple cakes!
How to Play Cake Fractions: Subtraction
- Stage 1 - Identify First Fraction: Look at the first cake. This is what you start with.
- Stage 2 - Identify Second Fraction: Look at the second cake. This shows what to take away.
- Stage 3 - Set Up Subtraction: Both cakes appear with a − sign. If denominators differ, cakes will re-slice to match!
- Stage 4 - Watch the Magic: Slices fade away from the starting cake showing subtraction visually!
- Stage 5 - Enter Answer: Count remaining shaded slices and write the answer as a fraction.
- Remember: Subtraction means "taking away parts" - watch carefully which slices disappear!
How to Play Mixed Fractions
- Step 1: Look at the pies displayed. Some are fully colored (yellow), others are partially colored.
- Question 1: Count how many pies are FULLY colored and enter the number.
- Question 2: Look at the partially colored pie. Count how many pieces are colored.
- Question 3: Count the total number of pieces in the partially colored pie.
- Result: The game will show you the mixed fraction (e.g., 2 8/12) and improper fraction (e.g., 32/12).
- Remember: Mixed fractions have a whole number part and a fractional part!
How to Play Fraction Blocks Addition
- Step 1 - Adjust Divisions: Use the + and - buttons to change the number of divisions in each block until both blocks have the same number of pieces.
- Step 2 - Understand Calculations: Watch how the colored pieces change as you adjust divisions. The calculation shows how many colored pieces you have.
- Step 3 - Enter Answer: Once both blocks have the same number of divisions, enter the total colored pieces and the common denominator.
- Step 4 - Check Answer: Click "Check Answer" to see if you're correct!
- Remember: To add fractions, they must have the same denominator. This is why we need to adjust the divisions!
Speaking...