Edexcel 4MA1 • 1.2 Fractions

Fraction Operations - The Calculator

Master addition, multiplication, and division with visual proof and mark scheme steps

Panel A: The Visual Toy

First Numerator

First Denominator

Second Numerator

Second Denominator

The Grid Adder - Visual Addition

First Fraction: 1/3

Original grid divided into 3 parts

Second Fraction: 1/4

Original grid divided into 4 parts

Common Denominator Grid: 12

Both fractions converted to 12ths: 4/12 + 3/12 = 7/12

Panel B: The Logic Track

The Golden Rule:

Never add denominators! You cannot add apples and oranges. The denominators tell you the type of piece. To add 3ths and 4ths, we must convert both to the same type: 12ths.

1/3 + 1/4 → Find LCD = 12 → 4/12 + 3/12 = 7/12

Examiner Trap: Don't write 1/3 + 1/4 = 2/7 ✗

Panel C: The Dynamic Solver (Cambridge Mark Scheme Format)

Step-by-Step Solution:

Question: 1/3 + 1/4

Step 1: Find LCD of 3 and 4 = 12

Step 2: Convert: 1/3 = 1×4/3×4 = 4/12

Step 3: Convert: 1/4 = 1×3/4×3 = 3/12

Step 4: Add numerators: 4/12 + 3/12 = 7/12

Answer: 7/12

Keep reading — this lesson marks itself done automatically.