Fraction, Decimal, Percentage Conversions
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Fraction, Decimal, Percentage Conversions
📘 Part 1: Worked Examples — Step by step
Visual model: Imagine a circle (pie) split into 2 equal parts; 1 part is shaded (one half).
Step 1 — Fraction to decimal: Divide numerator by denominator: 1 ÷ 2 = 0.5.
Step 2 — Decimal to percentage: Multiply the decimal by 100: 0.5 × 100 = 50%. So 1/2 = 0.5 = 50%.
Visual model: Picture a square split into 4 equal blocks; 3 blocks shaded (three quarters).
Step 1: 3 ÷ 4 = 0.75.
Step 2: 0.75 × 100 = 75%. So 3/4 = 0.75 = 75%.
Visual model: Imagine 5 equal blocks in a row; 2 blocks shaded.
Step 1: 2 ÷ 5 = 0.4.
Step 2: 0.4 × 100 = 40%. So 2/5 = 0.4 = 40%.
Tip: To convert a decimal to a percentage, multiply by 100. To convert a percentage to a decimal, divide by 100. To convert a decimal to a simple fraction, write as number over 100 then simplify if possible.
✏️ Part 2: Practice Questions (show steps)
🎨 Part 3: Draw & Convert — Visual models
Draw a visual model (pie chart or blocks) for each fraction, then convert to decimal and percentage. Show your calculations.
Final reminder: For each conversion write the three forms clearly (fraction = decimal = percentage). Use your drawings to check your answers.
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