How do I convert a decimal to a fraction?

Write the decimal as a fraction over a power of 10 (e.g., 0.75 = 75/100), then simplify by dividing both by their GCD (25), giving 3/4.

How do I convert a repeating decimal to a fraction?

Use algebra: let x = 0.333..., multiply by 10 to get 10x = 3.333..., subtract to get 9x = 3, so x = 1/3. Our calculator detects repeating patterns automatically.

How do I convert a decimal to a percent?

Multiply the decimal by 100 and add a % sign. For example, 0.85 = 85%. Conversely, divide a percent by 100 to get the decimal.

How do I divide decimals step by step?

Move the decimal point in the divisor to make it a whole number, move the dividend's decimal the same number of places, then divide normally. For example, 1.44 / 1.2 becomes 14.4 / 12 = 1.2.

How do I multiply decimals?

Multiply as whole numbers, then count total decimal places in both factors and place the decimal point that many places from the right in the product.

How do I round to 2 decimal places?

Look at the third decimal digit: if it is 5 or more, round up; otherwise, round down. For example, 3.14159 rounds to 3.14.

How do I convert a fraction to a decimal?

Divide the numerator by the denominator. For example, 3/8 = 0.375. Some fractions produce repeating decimals, like 1/3 = 0.333...

What is the difference between terminating and repeating decimals?

A terminating decimal has a finite number of digits (like 0.25). A repeating decimal has a pattern that repeats forever (like 0.333...). A fraction in lowest terms terminates only if the denominator has no prime factors other than 2 and 5.

Decimal Calculator

Our free decimal calculator handles two core tasks: decimal arithmetic (add, subtract, multiply, divide) with detailed step-by-step breakdowns, and bidirectional conversion between decimals, fractions, and percentages. It detects repeating decimals like 0.333... and converts them to exact fractions like 1/3.

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calendar_today Updated: April 2026

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New

First Decimal

Second Decimal

Round to

Result

4.25

As Fraction

17/4

As Percent

425%

Mixed Number

4 1/4

format_list_numbered Step-by-Step

Decimal Value

Repeating decimal

Conversion Result

3/8

Decimal

0.375

Fraction

3/8

Percent

37.5%

format_list_numbered Step-by-Step

Quick:

How to Use This Calculator

tune

Choose Mode

Select Arithmetic for +, -, x, / on decimals, or Conversion to switch between decimals, fractions, and percents.

edit

Enter Values

Type your decimal numbers and choose an operation, or enter a value to convert.

calculate

Calculate

Press Calculate to see the result with a step-by-step explanation.

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View Steps

Review the detailed breakdown to understand each step of the calculation.

The Formula

Convert a decimal to a fraction by expressing it over a power of 10, then simplifying with GCD. For repeating decimals, use algebra: let x = 0.333..., then 10x = 3.333..., so 9x = 3, x = 1/3. Multiply by 100 for percent.

decimal = numerator / denominator; percent = decimal x 100

lightbulb Variables Explained

decimal The decimal value
numerator Top of the fraction
denominator Bottom of the fraction
percent Percentage equivalent

tips_and_updates Pro Tips

To convert a decimal to a fraction, count the decimal places and put the number over 10^n, then simplify.

A repeating decimal like 0.333... equals 1/3. Enter the repeating pattern in conversion mode.

Percent is simply the decimal multiplied by 100.

When dividing decimals, move the decimal point to make the divisor a whole number.

Line up decimal points when adding or subtracting decimals.

Use this calculator alongside the fraction calculator for cross-verification.

Decimal Calculator - Arithmetic & Conversion Tool

Perform decimal arithmetic and convert between decimals, fractions, and percentages instantly. Our free online decimal calculator shows step-by-step solutions for every operation.

Decimal Arithmetic Operations

Add, subtract, multiply, and divide decimals with ease. The calculator shows each step including decimal alignment for addition/subtraction, place-value counting for multiplication, and long-division technique for division.

Decimal to Fraction Conversion

Convert any decimal to its simplest fraction form. The tool expresses the decimal over a power of 10, then reduces using the GCD. Repeating decimals like 0.333... are detected and converted to exact fractions like 1/3.

Fraction to Decimal Conversion

Enter any fraction and get its decimal equivalent instantly. The calculator performs the division and identifies whether the result is a terminating or repeating decimal.

Decimal to Percent and Percent to Decimal

Multiply by 100 to go from decimal to percent, or divide by 100 for the reverse. The calculator handles both directions with clear step-by-step explanations.

Repeating Decimals

Repeating (recurring) decimals have a digit or block that repeats infinitely. This calculator uses the algebraic method to convert them to exact fractions. For example, 0.142857142857... = 1/7.

Rounding Decimals

Round results to any number of decimal places. The calculator shows the rounding rule applied and the final value, useful for financial and scientific calculations.

Frequently Asked Questions

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