Fraction to Decimal Calculator with Long Division Steps & Repeating Decimals

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 Fraction to Decimal Calculator Method Works

To convert a fraction to a decimal, divide the numerator by the denominator using long division. The decimal terminates if the denominator's prime factors are only 2s and 5s; otherwise, it repeats.

Core Formula:

\(\frac{a}{b} = a \div b\)

Key Rules & Steps:

Divide the numerator by the denominator.
Add decimal point and trailing zeros to continue dividing until remainder is zero or a repeating pattern emerges.
Write terminating decimals cleanly or use vinculum (bar notation) for repeating digits.

Worked Practice Examples:

Problem: 5/8 to decimal

Result: 0.625

5 ÷ 8 = 0.625 (terminating decimal).

Problem: 1/3 to decimal

Result: 0.333... (0.3̄)

1 ÷ 3 = 0.333... with 3 repeating infinitely.

Explore Specialized Fraction & Academic Calculators

Frequently Asked Questions (FAQs)

How do you turn a fraction into a decimal?

Simply divide the top number (numerator) by the bottom number (denominator). For example, 3/4 = 3 ÷ 4 = 0.75.

Which fractions become repeating decimals?

Any simplified fraction whose denominator contains prime factors other than 2 or 5 (such as 3, 7, 11, 13) produces an infinite repeating decimal.

Fraction to Decimal Calculator