Convert fractions to decimals

key notes :

Fraction to Decimal Means…

A fraction can be changed into a decimal by dividing the numerator ÷ denominator
Example: 12=1÷2=0.5\frac{1}{2} = 1 ÷ 2 = 0.521​=1÷2=0.5 ✨


Use Division (Top ÷ Bottom)

  • Numerator = Top number 🔼
  • Denominator = Bottom number 🔽
    Fraction → Decimal = Top ÷ Bottom

🍰 Common Fractions to Decimals

FractionDecimal
½0.5
¼0.25
¾0.75
0.2
0.1

🔟 Tenths and Hundredths

Fractions with 10 or 100 are easier!

  • 310=0.3\frac{3}{10} = 0.3103​=0.3 🍭
  • 25100=0.25\frac{25}{100} = 0.2510025​=0.25 🎯

👉 Denominator 10 = 1 decimal place
👉 Denominator 100 = 2 decimal places


🔁 Equivalent Fractions Help

Before dividing, you can change the fraction to one with 10 or 100
Example:
25\frac{2}{5}52​ → multiply top & bottom by 2
= 410=0.4\frac{4}{10} = 0.4104​=0.4 🎉


🔍 Some Fractions Have Repeating Decimals

If the number repeats, put a bar on top
Example:
13=0.3333…=0.3‾\frac{1}{3} = 0.3333… = 0.\overline{3}31​=0.3333…=0.3 ♻️


📏 Decimals Show Parts of a Whole

Fractions and decimals both show parts of a number
Example:
Half of a chocolate 🍫 = 0.5 = ½


🧠 Practice Makes It Easy

Try with simple fractions first, then harder ones.
The more you practice, the faster you convert! 🚀


💡 Quick Steps to Convert

1️⃣ Write the fraction
2️⃣ Divide numerator by denominator
3️⃣ Write the answer as a decimal ✔️

Learn with an example

🎯 Write 9/10 as a decimal number.

  • Write the fraction as a decimal number with 1 decimal place.
  • 9/10= 0.9

🎯 Write 3/100 as a decimal number.

  • Write the fraction as a decimal number with 2 decimal places.
  • 3/100= 0.03

🎯 Write 3/10 as a decimal number.

  • Write the fraction as a decimal number with 1 decimal place.
  • 3/10= 0.3

Let’s practice!