Matematika Kelas 6 Bab 1 Pecahan dan Desimal - Perkalian Pecahan - hal. 5 - 12 - Kurikulum Merdeka

Introduction

This tutorial focuses on the multiplication of fractions, which is a key concept in mathematics for 6th grade students. Understanding how to work with fractions and decimals is essential for solving various mathematical problems. This guide will break down the steps to multiply fractions, making the process easier and more intuitive.

Step 1: Understanding Fractions

• A fraction consists of a numerator (the top number) and a denominator (the bottom number).
• To multiply fractions, first ensure you understand what each part represents.
• Example: In the fraction 3/4, 3 is the numerator and 4 is the denominator.

Step 2: Multiplying the Numerators

• To multiply two fractions, you start by multiplying the numerators together.
• If you have fractions a/b and c/d, the multiplication of the numerators is:
  • a × c
• Write this product above the line in the new fraction.

Step 3: Multiplying the Denominators

• Next, multiply the denominators in the same manner.
• For the fractions a/b and c/d, the multiplication of the denominators is:
  • b × d
• Write this product below the line in the new fraction.

Step 4: Forming the New Fraction

• After multiplying both the numerators and denominators, your new fraction will look like this:
  • (a × c) / (b × d)
• For example, if you multiply 1/2 and 3/5:
  • Numerator: 1 × 3 = 3
  • Denominator: 2 × 5 = 10
  • Result: 3/10

Step 5: Simplifying the Fraction (if necessary)

• Sometimes, the resulting fraction can be simplified.
• To simplify, find the greatest common divisor (GCD) of the numerator and denominator and divide both by this number.
• Example: If you have 4/8, the GCD is 4, so:
  • 4 ÷ 4 = 1
  • 8 ÷ 4 = 2
  • Simplified fraction: 1/2

Step 6: Converting to Decimals (if needed)

• If you need to convert the resulting fraction to a decimal, divide the numerator by the denominator.
• Example: For 3/10, calculate:
  • 3 ÷ 10 = 0.3

Conclusion

Multiplying fractions involves a straightforward process of multiplying the numerators and denominators, forming a new fraction, and simplifying if necessary. Practicing these steps will enhance your mathematical skills and prepare you for more complex topics. For further practice, try multiplying different fractions and converting them to decimals to reinforce your understanding.