Convert between decimals and fractions or mixed numbers

Key notes:

🎯 What is a Decimal?

• A decimal is a way of writing numbers using a decimal point.
• Example: 0.5, 1.25, 0.75
  ✨ Decimals tell us parts of a whole (like fractions!).

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🧮 Decimals to Fractions

👉 Step-by-step

1. Write the decimal as a fraction with 1 as the denominator.
   • Example: 0.4 = 0.4/1
2. Multiply top & bottom to remove the decimal.
   • 0.4/1 = 4/10
3. Simplify the fraction.
   • 4/10 = 2/5 ✔️

🎉 Example:

• 0.25 = 25/100 = 1/4
• 0.6 = 6/10 = 3/5

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📝 Fractions to Decimals

👉 Do division! (Numerator ÷ Denominator)

• 1/4 = 1 ÷ 4 = 0.25
• 3/5 = 3 ÷ 5 = 0.6
• 7/8 = 7 ÷ 8 = 0.875

✨ Fractions with denominators like 10, 100, 1000 are easiest to convert.

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🍰 Mixed Numbers to Decimals

A mixed number has a whole number + a fraction.
Example: 2 1/4

Steps:

1. Convert the fraction to a decimal → 1/4 = 0.25
2. Add to whole number → 2 + 0.25 = 2.25

🎉 Examples:

• 3 1/2 = 3 + 0.5 = 3.5
• 5 3/4 = 5 + 0.75 = 5.75

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🔄 Decimals to Mixed Numbers

1. Convert the decimal to a fraction.
2. Simplify.
3. Separate into whole number + fraction if needed.

🎉 Example:

• 2.6 = 26/10 = 13/5
• Now write as mixed number: 2 3/5

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💡 Helpful Tips

✨ Terminating decimals stop → easy to convert!
✨ Repeating decimals turn into fractions using division or patterns.
✨ Always simplify fractions to the lowest terms.

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🧠 Practice Examples

• 0.75 → 3/4
• 4.125 → 4 1/8
• 5/2 → 2.5
• 1 2/5 → 1.4