Darab pecahan Tahun 5 | pdpr

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Published on Oct 18, 2024 This response is partially generated with the help of AI. It may contain inaccuracies.

Table of Contents

Introduction

This tutorial will guide you through the process of multiplying fractions, specifically tailored for Year 5 students. Understanding how to multiply fractions is a fundamental skill in mathematics that will help in various real-life applications, such as cooking and budgeting.

Step 1: Understand the Basics of Fractions

Before you start multiplying fractions, it's important to review what fractions are and how they work.

  • Numerator and Denominator: A fraction is made up of two parts:

    • The numerator (top number) represents how many parts you have.
    • The denominator (bottom number) represents how many parts make up a whole.
  • Example: In the fraction 3/4, 3 is the numerator and 4 is the denominator.

Step 2: Multiplying Fractions

Now that you understand the basics, let’s move on to multiplying fractions.

  1. Multiply the Numerators: Take the top numbers of the fractions and multiply them together.

    • Example: For 1/2 and 3/4, multiply 1 × 3 = 3.
  2. Multiply the Denominators: Take the bottom numbers of the fractions and multiply them together.

    • Example: For 1/2 and 3/4, multiply 2 × 4 = 8.
  3. Combine the Results: Place the result of the numerators over the result of the denominators.

    • Example: This gives you 3/8.

Step 3: Simplifying the Result

After multiplying the fractions, check if the resulting fraction can be simplified.

  • Finding Common Factors: Look for any common factors in the numerator and denominator.

  • Dividing: If possible, divide both the numerator and denominator by their greatest common factor (GCF).

  • Example: If you end up with 6/12, both numbers can be divided by 6, resulting in 1/2.

Step 4: Practice with Word Problems

Applying your skills in real-world scenarios will enhance your understanding.

  1. Cooking Example: If a recipe requires 2/3 cup of sugar and you want to make half of the recipe, multiply:

    • 1/2 × 2/3 = 2/6 = 1/3 cup of sugar.
  2. Budgeting Example: If you have 3/5 of your allowance and spend 2/3 of that, calculate:

    • 3/5 × 2/3 = 6/15 = 2/5 of your total allowance spent.

Conclusion

Multiplying fractions involves straightforward steps: multiply the numerators, multiply the denominators, and then simplify if necessary. Practicing with real-life examples can solidify your understanding and make learning more enjoyable. For additional practice, refer to the recommended textbook exercises or the linked video for further explanations.