Decimal to Fraction Calculator

How to Use the Fraction Calculator

Pick a mode tab above the calculator: Arithmetic (+, −, ×, ÷), Simplify / Reduce, Fraction ↔ Decimal, Equivalent Fractions, or Compare.

Enter your fractions in the stacked numerator and denominator boxes, and tick "Include Whole Numbers" if you want to type mixed numbers like 1 ¾.

Choose the operator (+, −, ×, ÷) between the fractions, and switch to "3 Fractions" if your expression has a third term.

Press "Calculate Steps" to see the instant answer badge, then read the step-by-step working below, which shows the LCD setup, GCF reduction, mixed number, decimal, and percentage forms.

Use the operation pills under the title (or the links below the guide) to open a dedicated page for a single skill, such as adding fractions, simplifying fractions, or comparing fractions.

How the Decimal to Fraction Calculator Method Works

Count decimal places, place digits over the corresponding power of 10 (10, 100, 1000), and divide numerator and denominator by their GCF.

Core Formula:

\(0.d_1d_2...d_n = \frac{D}{10^n}\)

Key Rules & Steps:

Count the number of decimal places (d).
Write the decimal digits as the numerator and 10^d as the denominator.
Separate whole numbers if the decimal is greater than 1.
Simplify the fraction by dividing numerator and denominator by their Greatest Common Factor (GCF).

Worked Practice Examples:

Problem: 0.375 to fraction

Result: 3/8

3 decimal places: 375/1000. GCF(375, 1000) = 125. (375 ÷ 125)/(1000 ÷ 125) = 3/8.

Explore Specialized Fraction & Academic Calculators

Frequently Asked Questions (FAQs)

How do you convert 0.75 into a fraction?

0.75 has 2 decimal places, so write 75/100. Divide both by GCF (25) to get 3/4.

How do you handle negative decimals?

Keep the negative sign in front of the fraction and convert the decimal value normally.

Fraction to Decimal