Adding Fractions - Math Antics

Introduction

• Adding fractions basics
• Multiplication of fractions is usually taught first at Math Antics
• Multiplying fractions: Multiply top numbers together, and bottom numbers together
• Misconception: Adding numerator and denominator directly doesn't work

Example: Incorrect Addition

• Example: ( \frac{1}{2} + \frac{1}{2} )
  • Adding tops: 1 + 1 = 2
  • Adding bottoms: 2 + 2 = 4
  • Result: ( \frac{2}{4} ) which simplifies to ( \frac{1}{2} ) (incorrect)

Order of Operations

• Important math rules: Order of Operations
• Must perform multiplication and division before addition and subtraction
• Fractions inherently involve division
• Incorrect method breaks Order of Operations

Correct Method for 'Like' Fractions

• Fractions with the same bottom numbers ('like' fractions)
• Trick: Add top numbers, keep the same bottom number
• Example: ( \frac{1}{2} + \frac{1}{2} )
  • Adding tops: 1 + 1 = 2
  • Keep bottom: 2
  • Result: ( \frac{2}{2} = 1 ) (whole number)

More Examples of Adding 'Like' Fractions

• Example: ( \frac{5}{16} + \frac{2}{16} )
  • Adding tops: 5 + 2 = 7
  • Keep bottom: 16
  • Result: ( \frac{7}{16} )

Subtracting 'Like' Fractions

• Similar process to addition
• Example: ( \frac{5}{9} - \frac{2}{9} )
  • Subtract tops: 5 - 2 = 3
  • Keep bottom: 9
  • Result: ( \frac{3}{9} )

Concept of 'Like' Fractions

• Definition: Fractions with the same bottom numbers
• Called 'like' fractions: bottom numbers same/alike

Adding 'Unlike' Fractions

• Different bottom numbers ('unlike' fractions)
• Need to convert to 'like' fractions
• Process: Find a common denominator

Finding Common Denominator

• Common denominator: making bottom numbers the same
• More details covered in the next video

Closing

• Practice exercises available
• Learn more at www.mathantics.com