Operasi Hitung Bilangan Pecahan Matematika SMP Kelas 7
Table of Contents
Introduction
This tutorial provides a comprehensive guide on performing operations with fractions, specifically aimed at seventhgrade mathematics students. Understanding how to add, subtract, multiply, and divide fractions is essential for building a strong foundation in math. This guide will break down each operation stepbystep, making the concepts easier to grasp and apply.
Step 1: Understanding Fractions
 A fraction consists of two parts: the numerator (the top number) and the denominator (the bottom number).
 The numerator represents how many parts we have, while the denominator indicates how many equal parts the whole is divided into.
 Example: In the fraction 3/4, 3 is the numerator and 4 is the denominator.
Step 2: Adding Fractions

To add fractions with the same denominator:
 Keep the denominator the same.
 Add the numerators.
 Simplify if possible.
Example:
 1/4 + 2/4 = (1 + 2)/4 = 3/4

To add fractions with different denominators:
 Find a common denominator (the least common multiple).
 Convert each fraction to an equivalent fraction with the common denominator.
 Add the numerators and keep the common denominator.
 Simplify if needed.
Example:
 1/3 + 1/4
 Common denominator is 12: (1/3 = 4/12) and (1/4 = 3/12).
 4/12 + 3/12 = 7/12
Step 3: Subtracting Fractions

Subtraction follows the same rules as addition.

For fractions with the same denominator:
 Keep the denominator.
 Subtract the numerators.
 Simplify if possible.
Example:
 3/4  1/4 = (3  1)/4 = 2/4 = 1/2

For fractions with different denominators:
 Find a common denominator.
 Convert the fractions.
 Subtract the numerators and keep the common denominator.
 Simplify if needed.
Example:
 5/6  1/3
 Common denominator is 6: (1/3 = 2/6).
 5/6  2/6 = 3/6 = 1/2
Step 4: Multiplying Fractions

To multiply fractions:
 Multiply the numerators together.
 Multiply the denominators together.
 Simplify if possible.
Example:
 (2/3) * (4/5) = (2 * 4) / (3 * 5) = 8/15
Step 5: Dividing Fractions

To divide fractions:
 Multiply by the reciprocal of the second fraction (flip the second fraction).
 Follow the multiplication steps.
Example:
 (3/4) ÷ (2/5) becomes (3/4) * (5/2) = (3 * 5) / (4 * 2) = 15/8
Conclusion
By mastering these operations with fractions, you will enhance your mathematical skills and problemsolving abilities. Remember to practice each operation using different examples to reinforce your understanding. As a next step, consider working on exercises involving mixed numbers and improper fractions to broaden your proficiency in handling fractions.