Fraction to Decimal Calculator with Steps
Convert fractions to decimals with detailed step-by-step solutions. Perfect for students, homework, and everyday math. Free calculator with explanations.
Quick Answer
To convert fractions to decimals, divide numerator by denominator. Mixed numbers require converting whole numbers to fractions first. Use our calculator for step-by-step.
Convert Fractions to Decimals
Get precise decimal conversions with detailed step-by-step solutions
Calculate With Full ToolWhat is Fraction to Decimal Conversion?
Fraction to decimal conversion transforms fractions into decimal numbers for easier calculations and comparisons. This is essential for students, engineers, and anyone working with mixed number systems.
How Fraction to Decimal Works
Simple fractions convert by dividing numerator by denominator. Mixed numbers require converting the whole number to a fraction, adding to the fractional part, then dividing by denominator.
Why Decimal Conversion Matters
Decimal numbers are standard for calculations, measurements, and data analysis. Converting fractions helps with precision, consistency, and compatibility with digital systems.
Fraction to Decimal Formula
Decimal = Numerator ÷ Denominator
Simple Fraction: Direct division of numerator by denominator
Mixed Number: (Whole × Denominator + Numerator) ÷ Denominator
Improper Fraction: Convert to mixed number first, then to decimal
Repeating Decimal: Use long division or calculator for precision
Step-by-Step Example
Example: Converting 3 3/4 to Decimal
Step 1: Mixed Number: 3 3/4 = (3 × 4 + 3) ÷ 4 = 15/4
Step 2: Improper Fraction: 15 ÷ 4 = 3.75
Step 3: Long Division: 15 ÷ 4 = 3.75
Step 4: Result: 3.75 decimal
Step 5: Verification: 3.75 = 3 75/100 = 3 3/4
This example shows how 3 3/4 converts to 3.75, useful for measurements, calculations, and understanding decimal representations of fractions.
Who Should Use This Calculator?
Students
Convert fractions for homework and exams
Teachers
Create step-by-step solutions for lessons
Engineers
Convert measurements for technical calculations
Parents
Help with math homework and understanding
Frequently Asked Questions
How do you convert mixed numbers to decimals?
Multiply whole number by denominator, add numerator, then divide by denominator. Example: 2 3/4 = (2×4+3)÷4 = 11/4 = 2.75
What are repeating decimals?
Decimals that repeat infinitely, like 0.333... for 1/3. They can be written as fractions or rounded to a specific decimal place.
How do you convert decimals back to fractions?
Write decimal as fraction over power of 10, then simplify. Example: 0.75 = 75/100 = 3/4. Use greatest common divisor to simplify.
Why are fractions important?
Fractions represent exact values without rounding errors. They're essential in construction, cooking, and precise measurements where accuracy matters.
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