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Fraction, Decimal, Percentage Conversions

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Fraction, Decimal, Percentage Conversions worksheet preview

Fraction, Decimal, Percentage Conversions

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📘 Part 1: Worked Examples — Step by step

1. Example: 1/2 = ? (visual model → decimal → percent)

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%.

2. Example: 3/4 = ? (visual model → decimal → percent)

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%.

3. Example: 2/5 = ? (visual model → decimal → percent)

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)

4. Convert 7/10 to a decimal and a percentage. Show working:
5. Convert 3/8 to a decimal and percentage. Show working (give answer to three decimal places if needed):
6. Convert 0.45 to a fraction (simplify) and to a percentage. Show working:
7. Convert 125% to a decimal and a fraction. Show working and write the fraction in simplest form:
8. Convert 4/5 to decimal and percentage. Show working:
9. Word problem: A pair of shoes is reduced by 25% and the discount was $20. What was the original price? Show steps and answer in dollars ($):

🎨 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.

10a. Fraction: 2/3 — Draw model below and convert:
10b. Fraction: 5/8 — Draw model below and convert:
10c. Fraction: 1/4 — Draw model below and convert:

Final reminder: For each conversion write the three forms clearly (fraction = decimal = percentage). Use your drawings to check your answers.

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