Decimal to Fraction Calculator

Decimal to Fraction Examples

Common decimal to fraction conversion examples with full step-by-step solutions. See how to convert 0.40, 4.1, 6.66, 0.025, and more.

Simple Decimals (Tenths & Quarters)

0.5
Step 1

0.5 / 1

Step 2 (x10)

5 / 10

Step 3 (GCD = 5)

5÷5 / 10÷5

Final Answer

1/2

0.25
Step 1

0.25 / 1

Step 2 (x100)

25 / 100

Step 3 (GCD = 25)

25÷25 / 100÷25

Final Answer

1/4

0.75
Step 1

0.75 / 1

Step 2 (x100)

75 / 100

Step 3 (GCD = 25)

75÷25 / 100÷25

Final Answer

3/4

0.1
Step 1

0.1 / 1

Step 2 (x10)

1 / 10

Step 3

Already simple

Final Answer

1/10

0.4
Step 1

0.4 / 1

Step 2 (x10)

4 / 10

Step 3 (GCD = 2)

4÷2 / 10÷2

Final Answer

2/5

Hundredths & Thousandths

0.125
Step 1

0.125 / 1

Step 2 (x1000)

125 / 1000

Step 3 (GCD = 125)

125÷125 / 1000÷125

Final Answer

1/8

0.875
Step 1

0.875 / 1

Step 2 (x1000)

875 / 1000

Step 3 (GCD = 125)

875÷125 / 1000÷125

Final Answer

7/8

0.025
Step 1

0.025 / 1

Step 2 (x1000)

25 / 1000

Step 3 (GCD = 25)

25÷25 / 1000÷25

Final Answer

1/40

Mixed Numbers

1.5
Step 1

1.5 / 1

Step 2 (x10)

15 / 10

Step 3 (GCD = 5)

15÷5 / 10÷5 = 3/2

Final Answer (Mixed)

1 1/2

4.1
Step 1

4.1 / 1

Step 2 (x10)

41 / 10

Step 3

41 and 10 are coprime

Final Answer (Mixed)

4 1/10

3.125
Step 1

3.125 / 1

Step 2 (x1000)

3125 / 1000

Step 3 (GCD = 125)

3125÷125 / 1000÷125 = 25/8

Final Answer (Mixed)

3 1/8

Repeating Decimals

0.333...
Step 1 (Setup eq)

x = 0.333...

Step 2 (Multiply by 10)

10x = 3.333...

Step 3 (Subtract)

10x - x = 3.333... - 0.333...

9x = 3

Final Answer

1/3

6.66...
Step 1 (Setup eq)

x = 6.666...

Step 2 (Multiply by 10)

10x = 66.666...

Step 3 (Subtract)

10x - x = 66.666... - 6.666...

9x = 60

x = 60/9 = 20/3

Final Answer (Mixed)

6 2/3

Related Tools

Decimal to Fraction Calculator Repeating Decimal Calculator Decimal to Inches Calculator Decimal to 16ths Calculator Conversion Chart How-to Guide Practice Worksheet Examples Calculator Guide

Frequently Asked Questions

Common questions about decimal to fraction conversion examples

01 What are the most common decimal-fraction pairs to memorize?

The most useful ones are halves (0.5 = 1/2), quarters (0.25 = 1/4, 0.75 = 3/4), and thirds (0.333... = 1/3, 0.666... = 2/3).

02 How can I practice converting decimals to fractions?

Start with simple terminating decimals (like 0.2 or 0.4) and practice writing them over 10 or 100, then simplifying. Check your answers with a calculator.

03 What are good learning strategies for this topic?

Memorize the common conversions first. Then, understand the place value method for terminating decimals. Finally, learn the algebraic method for repeating decimals.

04 Why is it important to learn both formats?

Different situations require different formats. Fractions are great for exact math and splitting items, while decimals are easier for comparing sizes and using calculators.

05 Should I memorize the powers of 10?

Yes, knowing that 10^1=10, 10^2=100, 10^3=1000 is crucial for quickly converting terminating decimals by placing them over the correct denominator.

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