Mixed Number to Improper Fraction Calculator
Convert mixed numbers to improper fractions with step-by-step solutions
Convert Mixed Number to Improper Fraction
The whole number part
Top number of fraction
Bottom number of fraction
Mixed Number:
Conversion Results
Improper Fraction
Decimal value: 0.000000
Formula: (Whole × Denominator + Numerator) / Denominator
Calculation: (0 × 1 + 0) / 1 = 0/1
Example Calculation
Convert 2⅗ to an improper fraction
Step 1: Multiply whole number by denominator: 2 × 5 = 10
Step 2: Add the numerator: 10 + 3 = 13
Step 3: Write as improper fraction: ¹³⁄₅
Result: 2⅗ = ¹³⁄₅
Convert 3¼ to an improper fraction
Step 1: Multiply whole number by denominator: 3 × 4 = 12
Step 2: Add the numerator: 12 + 1 = 13
Step 3: Write as improper fraction: ¹³⁄₄
Result: 3¼ = ¹³⁄₄
Fraction Types
Mixed Number
Whole number + proper fraction
Example: 2⅗
Improper Fraction
Numerator ≥ denominator
Example: ¹³⁄₅
Proper Fraction
Numerator < denominator
Example: ⅗
Quick Tips
Mixed numbers are easier to visualize
Improper fractions are easier for calculations
Always simplify your final answer
Check your work by converting back
Understanding Mixed Numbers and Improper Fractions
What is a Mixed Number?
A mixed number consists of a whole number and a proper fraction combined. It represents a quantity greater than one in a way that's easy to visualize and understand.
What is an Improper Fraction?
An improper fraction has a numerator that is greater than or equal to its denominator. It represents the same value as a mixed number but in a single fraction format.
Why Convert?
- •Easier arithmetic operations (addition, subtraction, multiplication, division)
- •Required for algebraic expressions
- •Standardized format for mathematical calculations
Conversion Formula
Improper Fraction = (Whole × Denominator + Numerator) / Denominator
New Numerator = (Whole × Denominator) + Numerator
Visual Example
2⅗ (Two and three-fifths)
Think of 2 whole chocolate bars + ⅗ of another bar
Total fifths: (2 × 5) + 3 = 10 + 3 = 13 fifths
Result: ¹³⁄₅
Remember: The denominator stays the same during conversion