Fractions | Year 7 Mathematics (Cambridge) PDF Download

Understanding Fractions

What is a Fraction?

• A fraction represents a part of a whole or a collection.
• Example: 1/2 represents one out of two equal parts.

Types of Fractions

• Proper Fraction: Numerator is less than the denominator (e.g., 2/5).
• Improper Fraction: Numerator is equal to or greater than the denominator (e.g., 7/4).
• Mixed Number: A whole number combined with a fraction (e.g., ).

Equivalent Fractions

• Fractions that represent the same value.
• Example: 1/2 = 2/4.

Comparing Fractions

• Using cross-multiplication to compare fractions with different denominators.
• Example: Compare 2/3 and 3/4.

Operations with Fractions

Adding and Subtracting Fractions

• Find a common denominator before adding or subtracting.
• Example:

Multiplying Fractions

• Multiply numerators and denominators directly.
• Example: 

Dividing Fractions

• Multiply by the reciprocal of the divisor.
• Example: 

Simplifying Fractions

• Divide numerator and denominator by their greatest common factor (GCF).
• Example: Simplify 12/18.

Examples

• Understanding Fractions:
  • If you have a pizza divided into 8 slices and you eat 3 slices, what fraction of the pizza did you eat?
• Operations with Fractions:
  • Add 1/4  and 3/8.
  • Multiply 2/5 by 3/4.