Convert decimals to fractions

key notes :

🔹 Decimal = A Part of a Whole

  • A decimal shows parts of 1 whole 💯
    Example: 0.5 means 5 parts out of 10.

🧮 Say the Decimal Name

  • Read the decimal using its place value 🎯
    Example:
    0.4 → “four tenths” → 4/10

📍 Place Value Helps!

DecimalPlace ValueFraction
0.1Tenths1/10
0.01Hundredths1/100
0.001Thousandths1/1000

Examples:

  • 0.7 = 7/10
  • 0.35 = 35/100
  • 0.256 = 256/1000

✏️ Remove the Decimal Point

Steps to convert:
1️⃣ Write the digits as a fraction
2️⃣ Denominator = 10, 100, 1000… depending on decimal places
3️⃣ Simplify if needed

Example:
0.6 → 6/10 → 3/5


🔻 Simplify the Fraction

  • Divide numerator and denominator by the GCF (Greatest Common Factor) ✂️
    Example:
    0.25 = 25/100 = 1/4 🍕

🧠 Whole Numbers with Decimals

  • Mixed form → Write the decimal part as a fraction
    Example:
    2.5 = 2 5/10 = 2 1/2 😊

🌈 Quick Trick

Count decimal places 👇

  • 1 digit → denominator 10
  • 2 digits → denominator 100
  • 3 digits → denominator 1000

Example:
0.034 → 34/1000 → 17/500


📌 Remember

✔ Fractions and decimals show the same value
✔ Always simplify the fraction for the final answer


🌟 Examples for Practice

Convert to fractions:

  1. 0.8 = ?
  2. 0.09 = ?
  3. 1.2 = ?

Learn with an example

✈️ Write 0.91 as a fraction._________

  • Write the decimal as a fraction with 100 as the denominator.
  • 0.91 =91/100
  • 91/100 is written in simplest form.

✈️ Write 0.7 as a fraction.___

  • Write the decimal as a fraction with 10 as the denominator.
  • 0.7 =7/10
  • 7/10 is written in simplest form.

✈️ Write 0.3 as a fraction.______

  • Write the decimal as a fraction with 10 as the denominator.
  • 0.3 =3/10
  • 3/10 is written in simplest form.

Let’s practice!