global • USD

Fraction Converter

Convert fractions to decimals and percentages instantly. Simplify fractions, generate equivalent fractions, and display mixed numbers. Free math tool for students and teachers.

Last revised 2 September 2026

By Team GlobalCalqulate · About our editorial standards

Conversion Settings

Input Type

Conversion Type

Decimal Value

Numerator

Denominator

Percentage Value

Decimal Places

Methodology

Formula:: Decimal to fraction
Content last updated:: September 2026
Scheduled re-verification:: September 2027

Calculation type: Exact calculation.

Formula & methodology

Formula used

Decimal to fraction

write the decimal over a power of ten, then divide both by their greatest common divisor

0.75 becomes 75/100, which simplifies to 3/4.

Simplifying

simplified = (numerator ÷ g) / (denominator ÷ g),  g = gcd(numerator, denominator)

Dividing both parts by their greatest common divisor gives lowest terms.

Mixed number

whole = ⌊n ÷ d⌋;  remainder = n − (whole × d)

An improper fraction split into a whole part and a proper fraction.

Percentage

percentage = numerator ÷ denominator × 100

A fraction expressed per hundred.

Variable definitions

Symbol	Meaning	Unit
n	Numerator. the top of the fraction	integer
d	Denominator. the bottom of the fraction; cannot be zero	integer

Step-by-step calculation

1. Choose what you are entering
A decimal, a fraction, or a percentage.
2. Read the equivalent forms
The simplified fraction, mixed number, decimal and percentage are all shown.

Limitations

A repeating decimal such as 0.333… is converted from the digits you actually type, so it gives a close fraction rather than exactly 1/3.
Very long decimals are limited by floating-point precision, which can produce a large denominator.
The denominator cannot be zero.

This page is educational. It applies the formula described above to the figures you enter and shows the arithmetic behind the result. The output is only as good as the inputs and the assumptions listed here, and it is general information rather than advice about your particular situation.

Help & FAQs

Frequently Asked Questions

Clear answers to common questions to help you use this calculator confidently.

How do I convert a fraction to a decimal?

Tap to view the answer

Divide the numerator by the denominator. Example: 3/8 = 0.375. If the denominator is zero, the conversion is invalid because division by zero is undefined.

How do I convert a decimal to a fraction?

Tap to view the answer

Write the decimal over a place-value denominator and simplify. Example: 0.75 = 75/100 = 3/4. This converter simplifies automatically using the greatest common divisor.

How do I convert a percentage to a fraction?

Tap to view the answer

Write the percentage over 100 and simplify. Example: 62.5% = 62.5/100 = 625/1000 = 5/8. The tool handles this conversion instantly.

Why should I simplify fractions after conversion?

Tap to view the answer

Simplified fractions are easier to compare and communicate. For example, 20/40 and 1/2 are equal, but 1/2 is clearer in math, exams, and measurement tasks.

Why do repeating decimals appear for some fractions?

Tap to view the answer

Some fractions cannot terminate in base-10 form, such as 1/3 = 0.333... (repeating). The calculator rounds the displayed output for practical use while preserving the equivalent value.

Need more help? Contact support or email globalcalqulate@gmail.com

We typically reply within 24–48 hours.

More everyday calculators

All everyday calculators

How to Use This Calculator

Choose Input Type

Select whether you're starting from a decimal, fraction, or percentage.

Enter Your Value

For fractions, enter the numerator and denominator. For decimals, enter the decimal value. For percentages, enter the percent number.

Select Output Format

Choose 'All Conversions' to see the result as a decimal, fraction, and percentage simultaneously.

Review Results

See the simplified fraction (with GCD reduction), equivalent fractions, decimal, and percentage.

Understanding Your Results

Fraction to Decimal
Divide numerator by denominator. 3/4 = 3 ÷ 4 = 0.75. The calculator handles repeating decimals by rounding to your specified precision.
Decimal to Fraction
Write as fraction over 10^n where n is decimal places, then simplify. 0.75 = 75/100 = 3/4 (after dividing by GCD of 25).
Fraction to Percentage
Convert to decimal first, then multiply by 100. 3/4 = 0.75 × 100 = 75%.
Simplify Fractions
Divide numerator and denominator by their greatest common divisor (GCD). 8/12 → GCD is 4 → 2/3.

Key Tips

✓
All three forms (decimal, fraction, percentage) represent the same value — use whichever is clearest for your context.
✓
Common fractions worth memorizing: 1/4=0.25=25%, 1/3≈0.333=33.3%, 1/2=0.5=50%, 3/4=0.75=75%.
✓
Recurring decimals like 1/3 (0.333...) are rounded based on your decimal places setting.
✓
Equivalent fractions help when you need a different denominator: 3/4 is also 6/8, 9/12, 12/16.

How Fraction Conversion Works

What Are Fractions, Decimals, and Percentages?

These are three ways to express the same thing: a part of a whole. A fraction uses a numerator over a denominator (3/4). A decimal uses base-10 positional notation (0.75). A percentage is parts per hundred (75%). They're fully interchangeable, and each format is useful in different contexts: fractions for cooking and construction, decimals for finance and science, percentages for statistics and discounts.

How Simplification Works

Simplifying (or reducing) a fraction means finding the greatest common divisor (GCD) of the numerator and denominator, then dividing both by it. For 75/100, the GCD is 25, so 75÷25=3 and 100÷25=4, giving 3/4. The calculator automatically simplifies all fraction outputs. You can toggle simplification off to see the raw fraction.

Mixed Numbers and Improper Fractions

An improper fraction has a numerator larger than the denominator (7/4). A mixed number combines a whole number and a proper fraction (1 3/4). These represent the same value: 7/4 = 1 3/4. The calculator can display results as mixed numbers when enabled, which is often clearer in practical contexts like recipes (1 1/2 cups rather than 3/2 cups).

Equivalent Fractions — Why They Matter

Equivalent fractions have the same value but different numerators and denominators. Multiply (or divide) both parts by the same number to generate equivalents: 3/4 × 2/2 = 6/8, × 3/3 = 9/12. The calculator generates equivalent fractions by multiplying by 2, 3, and 4. Equivalents are useful when you need a common denominator for addition, or when converting between measurement systems.

When not to use this converter

• When you need symbolic algebra with variables instead of numeric values. • When you need recurring-decimal precision beyond displayed rounded output. • When complex unit conversions are required alongside fraction conversion.

Example 1: Fraction to decimal and percent

Input: Fraction 3/8. Output: Decimal 0.375, Percentage 37.5%. This is common in test scoring and recipe portions where fractional values must be compared as percentages.

Decision insight

• If you need precise machine input, use decimals. • If you need visual part-of-whole understanding, use fractions. • If you need instant comparison across options, use percentages.

Core conversion formulas

• Fraction to decimal: decimal = numerator / denominator. • Decimal to percentage: percentage = decimal x 100. • Percentage to decimal: decimal = percentage / 100. • Percentage to fraction: percentage/100, then simplify.

Fraction simplification rule

To simplify a fraction, divide numerator and denominator by their greatest common divisor (GCD). Example: 24/36 -> GCD is 12 -> simplified fraction is 2/3.

Beginner interpretation

All three outputs represent the same numeric value in different forms. Choose the format based on task type: fraction for conceptual math, decimal for calculations, and percent for comparisons.

Practical workflows

• Homework check: Enter 5/8 to verify 0.625 and 62.5% instantly. • Recipe scaling: Convert 3/4 cup to decimal 0.75 when using digital scales. • Discount check: Convert 12.5% to 1/8 to understand value ratios clearly. • Measurement planning: Convert decimal dimensions to fractions for tools and cut lists.

Fraction Converter For School, Cooking, And Everyday Math

A fraction converter helps you switch between fractions, decimals, and percentages without manual errors. If you start with 3/8, the tool instantly shows 0.375 and 37.5%, so you can use the right format for your task. This is useful in school assignments, recipe scaling, shopping discounts, construction measurements, and spreadsheet calculations. Students use it to verify homework steps and understand number relationships. Teachers use it for quick classroom examples. Parents use it when helping children with math practice. In practical life, conversions are often necessary: recipe instructions may use fractions, product labels may show percentages, and digital tools may require decimal input. The calculator also simplifies fractions automatically, reducing values like 24/36 to 2/3. That makes it easier to compare numbers, avoid rounding confusion, and communicate answers clearly. Instead of repeating long division every time, you can convert once and focus on the decision: compare offers, choose the correct measurement, or complete your math work faster.

Formula & methodology

Formula used

Decimal to fraction

write the decimal over a power of ten, then divide both by their greatest common divisor

0.75 becomes 75/100, which simplifies to 3/4.

Simplifying

simplified = (numerator ÷ g) / (denominator ÷ g),  g = gcd(numerator, denominator)

Dividing both parts by their greatest common divisor gives lowest terms.

Mixed number

whole = ⌊n ÷ d⌋;  remainder = n − (whole × d)

An improper fraction split into a whole part and a proper fraction.

Percentage

percentage = numerator ÷ denominator × 100

A fraction expressed per hundred.

Variable definitions

Symbol	Meaning	Unit
n	Numerator. the top of the fraction	integer
d	Denominator. the bottom of the fraction; cannot be zero	integer

Step-by-step calculation

1. Choose what you are entering
A decimal, a fraction, or a percentage.
2. Read the equivalent forms
The simplified fraction, mixed number, decimal and percentage are all shown.

Limitations

A repeating decimal such as 0.333… is converted from the digits you actually type, so it gives a close fraction rather than exactly 1/3.
Very long decimals are limited by floating-point precision, which can produce a large denominator.
The denominator cannot be zero.

How Fraction Conversion Works

What Are Fractions, Decimals, and Percentages?

How Simplification Works

Mixed Numbers and Improper Fractions

Equivalent Fractions — Why They Matter

When not to use this converter

Example 1: Fraction to decimal and percent

Input: Fraction 3/8. Output: Decimal 0.375, Percentage 37.5%. This is common in test scoring and recipe portions where fractional values must be compared as percentages.

Decision insight

• If you need precise machine input, use decimals. • If you need visual part-of-whole understanding, use fractions. • If you need instant comparison across options, use percentages.

Core conversion formulas

Fraction simplification rule

To simplify a fraction, divide numerator and denominator by their greatest common divisor (GCD). Example: 24/36 -> GCD is 12 -> simplified fraction is 2/3.

Beginner interpretation

All three outputs represent the same numeric value in different forms. Choose the format based on task type: fraction for conceptual math, decimal for calculations, and percent for comparisons.

Calculator inputs

Conversion Settings

Your results

Methodology

Formula & methodology

Formula used

Decimal to fraction

Simplifying

Mixed number

Percentage

Variable definitions

Step-by-step calculation

Limitations

How do I convert a fraction to a decimal?

How do I convert a decimal to a fraction?

How do I convert a percentage to a fraction?

Why should I simplify fractions after conversion?

Why do repeating decimals appear for some fractions?

Related calculators

More everyday calculators

Calculator inputs

Conversion Settings

Your results

Methodology

How to Use This Calculator

Example: Convert 3/4 to Decimal & Percentage

Understanding Your Results

Key Tips

How Fraction Conversion Works

What Are Fractions, Decimals, and Percentages?

How Simplification Works

Mixed Numbers and Improper Fractions

Equivalent Fractions — Why They Matter

When not to use this converter

Example 1: Fraction to decimal and percent

Decision insight

Core conversion formulas

Fraction simplification rule

Beginner interpretation

Practical workflows

Fraction Converter For School, Cooking, And Everyday Math

Formula & methodology

Formula used

Decimal to fraction

Simplifying

Mixed number

Percentage

Variable definitions

Step-by-step calculation

Limitations

How to Use This Calculator

Example: Convert 3/4 to Decimal & Percentage

Understanding Your Results

Key Tips

How Fraction Conversion Works

What Are Fractions, Decimals, and Percentages?

How Simplification Works

Mixed Numbers and Improper Fractions

Equivalent Fractions — Why They Matter

When not to use this converter

Example 1: Fraction to decimal and percent

Decision insight

Core conversion formulas

Fraction simplification rule

Beginner interpretation

Practical workflows

Fraction Converter For School, Cooking, And Everyday Math