Math Adventure

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 Fractions: Shaded and Unshaded Parts

Let's discover what fractions are through shaded and unshaded parts!

A fraction shows parts of a whole. The top number tells how many parts are shaded, the bottom tells total parts!

1/4

1

2

3

4

One-Fourth

1 part shaded out of 4 equal parts
Numerator: 1 (shaded parts)
Denominator: 4 (total parts)

3/8

1

2

3

4

5

6

7

8

Three-Eighths

3 parts shaded out of 8 equal parts
Numerator: 3 (shaded parts)
Denominator: 8 (total parts)

5/6

1

2

3

4

5

6

Five-Sixths

5 parts shaded out of 6 equal parts
Numerator: 5 (shaded parts)
Denominator: 6 (total parts)

Visualizing Fractions

Let's Explore Fraction Visualization. Try changing numerator and denominator.

Visual Representation

1/4

1 part shaded out of 4 equal parts

Interactive Controls

Numerator (Shaded Parts):

Denominator (Total Parts):

Comparing Fractions - Theory

Rule 1: Fractions with Same Denominator

When two fractions have the same denominator (bottom number), the fraction with the larger numerator (top number) is bigger.

Example: 5/8 > 3/8 because 5 parts > 3 parts (both divided into 8 equal pieces)

Rule 2: Fractions with Same Numerator

When two fractions have the same numerator (top number), the fraction with the smaller denominator is bigger because each piece is larger.

Example: 3/4 > 3/8 because dividing into 4 pieces makes bigger pieces than dividing into 8 pieces

Rule 3: Unit Fractions (Numerator is 1)

For unit fractions (fractions with 1 as numerator), the fraction with the smaller denominator is larger.

Example: 1/2 > 1/4 > 1/8 (half of a pizza is bigger than a quarter)

Rule 4: Unlike Fractions

When fractions have different numerators and denominators, convert them to have a common denominator first.

Example: 2/3 vs 3/4 → Convert: 8/12 vs 9/12 → So 2/3 < 3/4

Choose which fraction is larger using the buttons below!

Fraction A

1/4

Fraction B

2/4

Color the correct number of sections in the wheel to match the target fraction!

Target Fraction

3/8

Numerator: 3

Denominator: 8

Parts to Color: 3 out of 8

Score

0

Click on wheel segments to color them. Match the target fraction shown above.

Color Wheel

Your Fraction

0/8

Click on wheel segments to color them!

Write the fractions shown

How to Identify Fractions

Proper Fractions

Definition: A fraction where the numerator (top number) is smaller than the denominator (bottom number).

How to identify: Count the total shaded parts and the total equal parts. If shaded parts < total parts, it's a proper fraction.

Example: 3/5 - Three shaded parts out of five total parts.
Since 3 < 5, this is a proper fraction.

Improper Fractions

Definition: A fraction where the numerator (top number) is greater than or equal to the denominator (bottom number).

How to identify: Count ALL shaded parts across ALL figures. Then count how many parts are in ONE complete figure. If total shaded ≥ parts in one figure, it's improper.

Example: You see 2 complete figures + 2 more shaded parts, each figure has 6 parts.
Total shaded = 2×6 + 2 = 14 shaded parts out of 6 parts per figure = 14/6
Since 14 > 6, this is an improper fraction.

Mixed Fractions (Mixed Numbers)

Definition: A combination of a whole number and a proper fraction.

How to identify: Count the number of COMPLETELY shaded figures (whole number). Then count the additional shaded parts in the partial figure (proper fraction).

Example: 2 complete figures + 3 shaded parts out of 5 in the last figure.
Answer: 2 3/5 (two and three-fifths)
Whole number = 2, Numerator = 3, Denominator = 5

Quick Tips

✓ Always count the parts carefully

✓ Make sure all parts are equal in size

✓ For mixed fractions: count whole figures first, then the partial one

✓ For improper fractions: count ALL shaded parts across ALL figures

Fractions