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Class 4 · Mathematics

Understanding fractions

A fraction names equal parts of a whole. Change the numerator and denominator and watch the model.

✍️ Practise
🍕Fraction model

🎯 You will learn to

  • Read and write fractions
  • Identify numerator and denominator
  • Compare simple fractions and convert them to percentages

When a whole is divided into equal parts, each part is a fraction of the whole.

In the fraction 3/4:
- The denominator (4) tells how many equal parts the whole is divided into.
- The numerator (3) tells how many of those parts we take.

If the denominator stays the same, a bigger numerator means a bigger fraction: 3/8 is more than 2/8. If the numerator stays the same, a bigger denominator means smaller parts: 1/8 is less than 1/4.

Fractions connect to percentages: 1/2 = 50%, 1/4 = 25%, 3/4 = 75%.

📌 Remember for the exam

  • Parts must be equal
  • Numerator on top, denominator below
  • Fraction to percentage: divide, then multiply by 100

🎯 Learning objective: Represent fractions and convert them to decimals and percentages.

📐 Diagram: Fraction model
34← Numerator← Denominator3 ÷ 4 = 0.75 = 75%

💬 Questions and answers

1What am I looking at?

Answer: A circle divided into equal parts with some parts lifted out.

2What are its parts? (click a part to identify it)

Answer: Numerator (parts taken) and denominator (equal parts in the whole).

3How does it work?

Answer: The denominator splits the whole into equal parts; the numerator counts how many are taken.

4Why is it important?

Answer: Fractions are used in sharing, measuring, recipes, discounts and percentages.

5What happens if I change something? (use the sliders)

Answer: Change the numerator and denominator and read the decimal and percentage.

6What should I remember for the exam?

Answer: Fraction → percentage: divide and multiply by 100. 1/4 = 25%, 3/4 = 75%, 1/8 = 12.5%.