Fraction to Decimal Converter — Free & Instant

Last updated: February 12, 2026

Enter any fraction or mixed number and instantly see its decimal equivalent. The converter shows the full long-division steps so you can learn the process, not just the answer.

To convert a fraction to a decimal, divide the numerator (top number) by the denominator (bottom number). For example, 3/4 = 3 ÷ 4 = 0.75. The result is either a terminating decimal (like 0.75) or a repeating decimal (like 0.333…). Enter any fraction below for an instant conversion with step-by-step division shown.

Fraction to Decimal Converter

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How Do You Convert a Fraction to a Decimal?

Converting a fraction to a decimal is straightforward: divide the numerator (the top number) by the denominator (the bottom number). The result of that division is the decimal form of the fraction. For example, to convert 3/4 to a decimal, calculate 3 ÷ 4 = 0.75.

How Do You Convert a Fraction to a Decimal Using Long Division?

Long division is the most reliable method and works for every fraction. Set up the numerator as the dividend and the denominator as the divisor. Add a decimal point and zeros to the dividend as needed, then divide step by step. This is the method our calculator uses, and it clearly reveals whether the decimal terminates or repeats.

Example: Convert 5/8 to a Decimal

Divide 5 by 8 using long division:

8 goes into 50 six times (48), remainder 2. Bring down a zero: 8 goes into 20 twice (16), remainder 4. Bring down a zero: 8 goes into 40 five times (40), remainder 0.

5 ÷ 8 = 0.625 — a terminating decimal.

Can You Convert a Fraction to a Decimal Without Dividing?

If the denominator is a factor of 10, 100, 1,000, or another power of 10, you can convert the fraction by finding an equivalent fraction with that denominator. For instance, 3/5 can be rewritten as 6/10 by multiplying both the numerator and denominator by 2. Since 6/10 = 0.6, the conversion is immediate. This shortcut works best for denominators like 2, 4, 5, 8, 20, 25, and 50.

How Do You Convert a Mixed Number to a Decimal?

To convert a mixed number like 2 3/4 to a decimal, first convert it to an improper fraction: multiply the whole number by the denominator, add the numerator, and place the result over the original denominator. So 2 3/4 becomes (2 × 4 + 3)/4 = 11/4. Then divide: 11 ÷ 4 = 2.75. Alternatively, you can convert just the fractional part (3 ÷ 4 = 0.75) and add the whole number (2 + 0.75 = 2.75).

Quick tip: You can also convert a fraction to a decimal with a standard calculator. Just type the numerator, press ÷, then type the denominator. Our tool goes further by showing you the division steps and telling you whether the result terminates or repeats. Try the related Decimal to Fraction Converter to go the other direction.

What Are the Most Common Fractions as Decimals?

This reference table lists frequently searched fractions and their decimal equivalents. Bookmark this page for quick look-ups, or use the converter above for any fraction not listed here.

Fraction Decimal Type
1/20.5Terminating
1/30.333…Repeating
2/30.666…Repeating
1/40.25Terminating
3/40.75Terminating
1/50.2Terminating
2/50.4Terminating
3/50.6Terminating
4/50.8Terminating
1/60.1666…Repeating
5/60.8333…Repeating
1/70.142857…Repeating
1/80.125Terminating
3/80.375Terminating
5/80.625Terminating
7/80.875Terminating
1/90.111…Repeating
1/100.1Terminating
1/110.0909…Repeating
1/120.08333…Repeating
1/160.0625Terminating
1/200.05Terminating
1/250.04Terminating
1/320.03125Terminating
1/1000.01Terminating

What Is the Difference Between Repeating and Terminating Decimals?

When you convert a fraction to a decimal, the result is always one of two types: a terminating decimal that ends after a finite number of digits, or a repeating decimal that has a pattern of digits that repeats indefinitely.

When Does a Fraction Produce a Terminating Decimal?

A fraction produces a terminating decimal when the denominator (after the fraction is fully simplified) has only 2 and 5 as its prime factors. Since our number system is base-10, and 10 = 2 × 5, denominators built from 2s and 5s divide evenly into powers of 10. Examples: 1/2 = 0.5, 3/4 = 0.75, 7/8 = 0.875, 9/20 = 0.45.

When Does a Fraction Produce a Repeating Decimal?

A fraction produces a repeating decimal when the simplified denominator has any prime factor other than 2 or 5. The repeating block (called the repetend) can be a single digit or multiple digits. For instance, 1/3 = 0.333… has a one-digit repetend, while 1/7 = 0.142857142857… has a six-digit repetend. Repeating decimals are often written with a bar (vinculum) over the repeating digits: 0.3̄ or 0.1̄4̄2̄8̄5̄7̄.

How to Tell Before You Divide

Simplify the fraction fully, then factor the denominator. If the prime factorization contains only 2s and 5s, the decimal terminates. If it contains any other prime (3, 7, 11, 13, etc.), the decimal repeats.

Example: For 7/40, factor 40 = 2³ × 5. Only 2s and 5s, so 7/40 = 0.175 (terminating).

Example: For 5/12, factor 12 = 2² × 3. Contains a 3, so 5/12 = 0.41666… (repeating).

An important mathematical fact: every fraction (ratio of two integers) converts to either a terminating or repeating decimal. There is no fraction that gives a non-repeating, non-terminating decimal. Numbers with non-repeating, non-terminating decimals — like π (3.14159…) or √2 (1.41421…) — are irrational and cannot be expressed as fractions. Need to go the other way? Use our Decimal to Fraction Converter or convert to a Fraction to Percent.

Frequently Asked Questions

Divide the numerator (top number) by the denominator (bottom number). For example, 3/4 = 3 ÷ 4 = 0.75. For mixed numbers, convert to an improper fraction first, then divide.
3/4 as a decimal is 0.75. Divide 3 by 4: 3 ÷ 4 = 0.75. This is a terminating decimal because 4 only has prime factors of 2.
1/3 as a decimal is 0.333… (repeating). The digit 3 repeats infinitely because 3 has a prime factor other than 2 or 5, so it cannot produce a terminating decimal.
A terminating decimal has a finite number of digits after the decimal point (e.g., 0.75). A repeating decimal has one or more digits that repeat infinitely (e.g., 0.333…). A fraction produces a terminating decimal only when the denominator's prime factors are limited to 2 and 5.
Convert the mixed number to an improper fraction, then divide. For example, 2 3/4: multiply 2 × 4 = 8, add 3 to get 11/4, then divide 11 ÷ 4 = 2.75.
1/7 = 0.142857142857… because 7 is a prime number that is not a factor of any power of 10. The remainder cycle in long division repeats every 6 digits, producing the repeating block 142857.
Yes. Every fraction can be converted to either a terminating decimal or a repeating decimal. There is no fraction that produces a non-terminating, non-repeating decimal. Irrational numbers like π and √2 cannot be expressed as fractions.
7/8 as a decimal is 0.875. Divide 7 by 8: 7 ÷ 8 = 0.875. This is a terminating decimal because 8 = 2³ and contains only factors of 2.
Convert the fraction as if it were positive, then add a negative sign. For example, −3/4: divide 3 by 4 to get 0.75, then apply the negative for −0.75. The sign does not affect whether the decimal terminates or repeats — only the denominator's prime factors determine that.
1/6 as a decimal is 0.1666… (repeating). The digit 6 repeats infinitely because 6 = 2 × 3, and the factor of 3 prevents the fraction from producing a terminating decimal.
Round a repeating decimal to the desired number of decimal places using standard rounding rules. For example, 1/3 = 0.333… rounds to 0.33 (two places) or 0.333 (three places). Always state the precision when rounding, since the exact value is a fraction like 1/3.
A fraction represents division. The fraction bar literally means "divided by," so 3/4 means 3 divided by 4. Performing that division gives the decimal equivalent. This is not a conversion trick — it is the mathematical definition of what a fraction represents.
5/16 as a decimal is 0.3125. Divide 5 by 16 using long division until the remainder reaches zero. Since 16 = 2⁴ and contains only factors of 2, the decimal terminates after four digits.

Related Tools & Guides

Explore more fraction tools on our site: convert decimals back with the Decimal to Fraction Converter, turn fractions into percentages with the Fraction to Percent Converter, or learn the full process in our How to Convert Fractions to Decimals tutorial. Visit the homepage for all calculators.