Fraction to Decimal Converter

Fraction to decimal conversion rewrites a fraction as a decimal number. A fraction names a part of a whole using a numerator (top) and denominator (bottom). A decimal names the same value using place value and a decimal point.

The two forms are equivalent when they represent the same quantity. For example, 3/4 and 0.75 describe the same amount. Conversion helps you compare values quickly, use spreadsheet tools, and follow instructions that list decimals instead of fractions.

People use this conversion in classrooms, recipe scaling, money math, construction measurements, and engineering tolerances. When accuracy matters, always check rounding rules for your task.

The core formula is: Decimal = Numerator ÷ Denominator. In notation, decimal = n/d when n is the numerator and d is the denominator.

For a proper fraction (numerator smaller than denominator), divide the top number by the bottom number. Example: 5 ÷ 8 = 0.625.

For an improper fraction (numerator equal to or larger than denominator), the same division still applies. Example: 7 ÷ 4 = 1.75.

For a mixed number, separate the whole part first: Decimal = W + (n ÷ d), where W is the whole number. Example: 3 2/5 = 3 + (2 ÷ 5) = 3.4.

Step 1: Identify the numerator and denominator.

Step 2: Divide the numerator by the denominator using long division, a calculator, or the converter on this page.

Step 3: Read the quotient as your decimal. If the division continues, decide how many places to round.

Step 4: For mixed numbers, add the whole number after you convert the fraction part.

Spreadsheet shortcut: enter =A1/B1 when A1 holds the numerator and B1 holds the denominator. Learn more in our guide Fraction to Decimal Conversion in Excel.

A decimal shows how many wholes and fractional parts you have out of 1. A percentage shows the same value out of 100.

To move from decimal to percent, multiply by 100. Example: 0.625 × 100 = 62.5%. To move from percent to decimal, divide by 100. Example: 62.5% = 0.625.

Fractions, decimals, and percents are three notations for one idea. Pick the form that matches your worksheet, report, or real-world label.

Read our article Fraction to Decimal vs Percentage for side-by-side examples.

A repeating decimal has a digit or block of digits that continues without end. Many fractions create repeating decimals because they are rational numbers.

Examples include 1/3 = 0.333... and 2/11 = 0.181818.... The pattern repeats forever, so you round for practical use.

Terminating decimals come from fractions whose denominators use only prime factors 2 and 5 after simplification. Example: 3/20 terminates at 0.15.

When you need deeper examples, see Repeating Decimals from Fractions.

A mixed number includes a whole part and a fraction, such as 6 3/4. Convert the fraction with division, then add the whole.

Example: 6 3/4 = 6 + (3 ÷ 4) = 6.75. In the converter above, choose mixed decimal mode and enter W, n, and d.

Mixed numbers appear in recipes, dimensions, and inventory counts. Decimal form makes addition and comparison faster in many tools.

For a full walkthrough, read Mixed Numbers to Decimals.

The converter at the top of this page runs in your browser. Enter a numerator and denominator for simple fractions, or add a whole number for mixed values.

Results update as you type. Choose rounding from 0 to 10 decimal places so your answer matches homework rules, financial reports, or measurement specs.

Jump to the converter

Dividing in the wrong order: Always divide numerator by denominator, not the reverse.

Forgetting the whole number in mixed values: Convert the fraction part, then add W.

Using a zero denominator: Division by zero is undefined. Check inputs before you calculate.

Rounding too early: Keep extra places during multi-step work, then round at the end.

Mixing percent and decimal rules: Percent requires multiplying by 100 after you have the decimal.

Fractions are exact for many rational values and are common in recipes, probability, and part-whole problems. Decimals fit spreadsheets, calculators, and metric-style measurement systems.

Neither form is always better. Fractions can be clearer for repeating values (1/3), while decimals can be faster to sort and plot on a number line.

Conversion connects both views so you can choose the notation that fits your task and audience.