How to Convert a Decimal to a Fraction

The Method

Step 1: Read the decimal using place value — the last digit tells you the denominator.
Step 2: Write it as a fraction.
Step 3: Simplify if possible.

Place Value Determines the Denominator

How It Works

1 decimal place (tenths) → denominator is 10

2 decimal places (hundredths) → denominator is 100

3 decimal places (thousandths) → denominator is 1000

Worked Examples

Example 1: 0.75

2 decimal places → denominator is 100

Write it: 75/100

Simplify: 75 ÷ 25 = 3, 100 ÷ 25 = 4 → 3/4

Example 2: 0.6

1 decimal place → denominator is 10

Write it: 6/10

Simplify: 6 ÷ 2 = 3, 10 ÷ 2 = 5 → 3/5

Example 3: 0.125

3 decimal places → denominator is 1000

Write it: 125/1000

Simplify: 125 ÷ 125 = 1, 1000 ÷ 125 = 8 → 1/8

💡 To simplify: Find the greatest common factor (GCF) of the numerator and denominator, and divide both by it.

🎯 Practice Problems

1. Convert 0.5 to a fraction.

A) 5/100

B) 1/5

C) 5/10

D) 1/2

2. Convert 0.25 to a fraction.

A) 25/10

B) 1/25

C) 2/5

D) 1/4

3. Convert 0.8 to a fraction in simplest form.

A) 8/100

B) 1/8

C) 4/5

D) 8/10

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🎯 Bonus Practice

1. Convert 0.35 to a fraction in simplest form.

A) 35/10

B) 7/20

C) 35/1000

D) 7/2

2. Convert 0.125 to a fraction.

A) 125/10

B) 1/8

C) 1/125

D) 12/5

3. Convert 0.9 to a fraction in simplest form.

A) 1/9

B) 9/100

C) 9/10

D) 19/20

4. Convert 0.04 to a fraction in simplest form.

A) 4/10

B) 1/4

C) 2/5

D) 1/25

5. Convert 0.375 to a fraction in simplest form.

A) 375/100

B) 37/50

C) 3/8

D) 3/75