How do you convert a fraction to a decimal?

Divide the numerator by the denominator using long division. The quotient is the decimal. For example, 3 ÷ 4 = 0.75.

How do you know if a fraction is a repeating decimal?

After simplifying the fraction, check the denominator's prime factors. If it only contains 2s and 5s, the decimal terminates. Any other prime factor (3, 7, 11, …) causes the decimal to repeat.

What is a repeating decimal?

A repeating decimal has a digit or group of digits that repeats infinitely, such as 0.333… (the 3 repeats) or 0.142857142857… (the block 142857 repeats). The repeating part is often written with a bar over it.

What is a mixed number?

A mixed number is a whole number plus a proper fraction — for example, 2 3/4. To convert it to an improper fraction: multiply the whole number by the denominator and add the numerator: (2×4)+3 = 11, so 2 3/4 = 11/4.

How many decimal places does a repeating decimal have?

The repeating block length (period) is at most denominator − 1. For 1/7 the period is 6 (142857); for 1/3 the period is 1 (3).

Math

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Fraction to Decimal Calculator — Convert Fractions

Convert any fraction or mixed number to a decimal. Shows if it terminates or repeats, plus long division steps.

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How to use this calculator

👉 Fill in the boxes below and your answer appears instantly — no maths needed, we do it all for you! 🎉

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In plain English — what does this do?

🍕 Cut a pizza into 4 pieces. If you eat 1 piece, you had 1/4 of the pizza. A fraction just means a part of something. Type in your numbers and this tool works it out for you!

📌 Direct Answer & Summary

A fraction to decimal calculator converts any fraction (proper, improper, or mixed number) to its decimal equivalent. It also tells you whether the decimal terminates (ends) or repeats, shows the repeating block using bar notation, and displays the first 10 steps of long division so you can see exactly how the conversion works.

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What is Fraction to Decimal Calculator — Convert Fractions?

How to use it

1️⃣ Enter the numerator and denominator in the Simple Fraction fields.
2️⃣ Or switch to Mixed Number mode and enter a whole number, numerator, and denominator.
3️⃣ The decimal result, percentage, and terminating/repeating status appear instantly.
4️⃣ Scroll down to see the long division steps table.

Formula

Decimal = numerator ÷ denominator. A fraction a/b terminates if and only if, after simplification, b has no prime factors other than 2 and 5. Otherwise the decimal repeats with a period of at most b−1 digits.

💡 See it in action — a real example

3/4 = 0.75 (terminates — denominator 4 = 2²). 1/3 = 0.333… (repeats — denominator 3 has factor 3). 1/7 = 0.142857142857… (period 6). 2 1/4 = 9/4 = 2.25 (terminates).

❓ Common questions

How do you convert a fraction to a decimal?: Divide the numerator by the denominator using long division. The quotient is the decimal. For example, 3 ÷ 4 = 0.75.
How do you know if a fraction is a repeating decimal?: After simplifying the fraction, check the denominator's prime factors. If it only contains 2s and 5s, the decimal terminates. Any other prime factor (3, 7, 11, …) causes the decimal to repeat.
What is a repeating decimal?: A repeating decimal has a digit or group of digits that repeats infinitely, such as 0.333… (the 3 repeats) or 0.142857142857… (the block 142857 repeats). The repeating part is often written with a bar over it.
What is a mixed number?: A mixed number is a whole number plus a proper fraction — for example, 2 3/4. To convert it to an improper fraction: multiply the whole number by the denominator and add the numerator: (2×4)+3 = 11, so 2 3/4 = 11/4.
How many decimal places does a repeating decimal have?: The repeating block length (period) is at most denominator − 1. For 1/7 the period is 6 (142857); for 1/3 the period is 1 (3).

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Decimal to Fraction Calculator Fraction Calculator Percentage Calculator