Math with Mr. J: Writing Fractions from Shaded Shapes

Overview

In this lecture, Mr. J teaches how to write fractions representing the shaded parts of various shapes. The process includes identifying the total number of equal parts a shape is divided into (denominator) and the number of those parts that are shaded (numerator).

Key Concepts

• Denominator: Total number of equal parts a shape is divided into.
• Numerator: Number of shaded parts out of the whole.
• Fraction Representation: Denoted as numerator over denominator, e.g., ( \frac{3}{4} ).

Examples

Example 1

• Shape: Square
• Denominator: 4 (total parts)
• Numerator: 3 (shaded parts)
• Fraction: ( \frac{3}{4} ) (Three-fourths)

Example 2

• Shape: Not specified
• Denominator: 8
• Numerator: 6
• Fraction: ( \frac{6}{8} ) (Six-eighths)

Example 3

• Shape: Rectangle
• Denominator: 3
• Numerator: 2
• Fraction: ( \frac{2}{3} ) (Two-thirds)

Example 4

• Shape: Not specified
• Denominator: 6
• Numerator: 1
• Fraction: ( \frac{1}{6} ) (One-sixth)

Example 5

• Shape: Not specified
• Denominator: 10
• Numerator: 7
• Fraction: ( \frac{7}{10} ) (Seven-tenths)

Example 6

• Shape: Not specified
• Denominator: 5
• Numerator: 2
• Fraction: ( \frac{2}{5} ) (Two-fifths)

Conclusion

This method simplifies writing fractions to represent shaded areas by consistently identifying the total and shaded parts of a shape. This understanding helps visualize and apply fractions to parts of a whole.

Tip

Always count the total number of parts first for the denominator, then count the shaded parts for the numerator.