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1.2.1

Fractions Foundations lesson

Foundation Tier - Section 1.2

Fractions Foundations: The Equivalence Engine

EXAMINER TRAP ALERT

Students often simplify incorrectly by only dividing one part! Remember: divide BOTH numerator and denominator by the HCF.

The Visual Toy

TOP
BOTTOM

The Logic Track

The Narrator

Top bar: 1/4 = 0.250

Bottom bar: 2/8 = 0.250

✓ Perfect Match!

These fractions are equivalent because they represent the same portion of the whole.

💡 Key Insight: When we multiply both numerator and denominator by the same number, we're essentially multiplying by 1, so the value stays the same.

The Mark Scheme (AO1)

Dynamic Solver

SIMPLIFYING 1/4:

Step 1: Find HCF of 1 and 4

HCF = 1

Step 2: Divide both by HCF

1 ÷ 1 = 1

4 ÷ 1 = 4

Answer: 1/4

EQUIVALENT FRACTION:

To get from 4 slices to 8 slices:

Multiply by 2.00

So: 1/4 × 2.00/2.00

= 2/8

Key Takeaways

  • Equivalent fractions represent the same value - multiply/divide top and bottom by the same number
  • To convert fraction to decimal: divide numerator by denominator
  • To convert decimal to percentage: multiply by 100
  • To simplify: find HCF of numerator and denominator, then divide both

Keep reading — this lesson marks itself done automatically.