QuikCalcTools

Fraction to Decimal Converter 2025

Convert Fractions ⇄ Decimals

➗ Advanced Fraction Converter

✓ 2-Way Conversion - Fraction ⇄ Decimal

✓ Auto Simplify - Reduces to lowest terms

✓ Mixed Numbers - Supports whole numbers

✓ Step-by-Step - Shows calculation process

Enter Fraction

Leave as 0 for simple fractions

3/4

Result

Decimal Value

0.75

As Percentage

75.00%

Calculation Steps

Step 1: Divide numerator by denominator
3 ÷ 4 = 0.75

Common Fractions Reference

FractionDecimalPercentage
1/20.550%
1/30.333...33.33%
2/30.667...66.67%
1/40.2525%
3/40.7575%
1/50.220%
1/60.167...16.67%
1/80.12512.5%
3/80.37537.5%
5/80.62562.5%
7/80.87587.5%
1/100.110%

What is Fraction to Decimal Conversion?

Fraction to decimal conversion transforms a fraction (ratio of two numbers) into its decimal representation by dividing the numerator by the denominator. Essential for math, cooking, measurements, and everyday calculations.

Our converter supports simple fractions, mixed numbers, and reverse conversion (decimal to fraction) with automatic simplification and step-by-step solutions.

How to Use

  1. 1Select mode: Fraction→Decimal or Decimal→Fraction
  2. 2Enter numerator and denominator (or decimal)
  3. 3Add whole number for mixed fractions (optional)
  4. 4View decimal result with percentage
  5. 5See step-by-step calculation process

How to Convert Fractions

Fraction to Decimal

Method: Divide numerator by denominator
Example: 3/4 to decimal

3 ÷ 4 = 0.75

Simply divide the top number by the bottom number

Mixed Number: 2 1/2

Step 1: Convert to improper fraction

2 × 2 + 1 = 5/2

Step 2: Divide

5 ÷ 2 = 2.5

Decimal to Fraction

Method: Use place value and simplify
Example: 0.75 to fraction

Step 1: Write as fraction

0.75 = 75/100

Step 2: Simplify (GCD = 25)

75 ÷ 25 = 3

100 ÷ 25 = 4

Result: 3/4

Common Fractions to Decimals Chart

FractionDecimalPercentageUsage
1/20.550%Half
1/30.333...33.33%One third
2/30.667...66.67%Two thirds
1/40.2525%Quarter
3/40.7575%Three quarters
1/50.220%One fifth
2/50.440%Two fifths
3/50.660%Three fifths
4/50.880%Four fifths
1/80.12512.5%One eighth
3/80.37537.5%Three eighths
5/80.62562.5%Five eighths
7/80.87587.5%Seven eighths
1/100.110%One tenth

Understanding Fractions & Decimals

📚 Fraction Parts

Numerator: Top number (parts you have)
Denominator: Bottom number (total parts)
Example: In 3/4, you have 3 out of 4 parts

🔄 Types of Fractions

Proper: Numerator < Denominator (3/4)
Improper: Numerator > Denominator (5/4)
Mixed: Whole + Fraction (1 1/4)

🔢 Recurring Decimals

1/3 = 0.333... (3 repeats forever)
1/6 = 0.1666... (6 repeats)
1/9 = 0.111... (1 repeats)

Practical Applications

🍳 Cooking & Baking

  • 1/2 cup = 0.5 cups = 8 tablespoons
  • 1/4 cup = 0.25 cups = 4 tablespoons
  • 3/4 cup = 0.75 cups = 12 tablespoons
  • 1/3 cup = 0.333 cups ≈ 5.3 tablespoons
  • 2/3 cup = 0.667 cups ≈ 10.7 tablespoons

📏 Measurements

  • 1/2 inch = 0.5 inches = 1.27 cm
  • 3/4 inch = 0.75 inches = 1.905 cm
  • 1/8 inch = 0.125 inches = 3.175 mm
  • 5/16 inch = 0.3125 inches = 7.9375 mm
  • 7/8 inch = 0.875 inches = 22.225 mm

💰 Money & Shopping

  • 1/2 off = 0.5 = 50% discount
  • 1/4 off = 0.25 = 25% discount
  • 3/4 price = 0.75 = 75% of original
  • 1/3 off = 0.333 = 33.33% discount
  • 2/5 off = 0.4 = 40% discount

📊 Statistics & Grades

  • 9/10 = 0.9 = 90% (A grade)
  • 4/5 = 0.8 = 80% (B grade)
  • 7/10 = 0.7 = 70% (C grade)
  • 3/5 = 0.6 = 60% (D grade)
  • 17/20 = 0.85 = 85% (B+ grade)

Frequently Asked Questions

1. How do I convert a fraction to a decimal?

To convert a fraction to decimal, simply divide the numerator (top number) by the denominator (bottom number).

Examples:

1/2: 1 ÷ 2 = 0.5
3/4: 3 ÷ 4 = 0.75
5/8: 5 ÷ 8 = 0.625

2. How do I convert a decimal to a fraction?

To convert decimal to fraction, write the decimal as a fraction over a power of 10, then simplify.

Step-by-Step: 0.75 to fraction

Step 1: Count decimal places (2 places)

Step 2: Write as 75/100

Step 3: Find GCD (Greatest Common Divisor) = 25

Step 4: Divide both by 25

Result: 3/4

3. What is a recurring decimal?

A recurring decimal (or repeating decimal) is a decimal where digits repeat forever in a pattern.

Common Examples:

1/3 = 0.333... (3 repeats infinitely)
1/6 = 0.1666... (6 repeats)
2/9 = 0.222... (2 repeats)
5/11 = 0.454545... (45 repeats)

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