Fraction Calculator and Whole Number: Step-by-Step Math Tool
Perform addition, subtraction, multiplication, and division on fractions, whole numbers, and mixed numbers. View complete step-by-step algebraic simplification, common denominators, and decimal equivalents.
Fractions & Whole Numbers
Enter whole numbers, numerators, and denominators
Fraction Results
Instant simplification & decimal
Step 1: Convert to improper fractions -> Fraction 1: (2 × 2 + 1)/2 = 5/2; Fraction 2: (1 × 4 + 3)/4 = 7/4
Step 2: Find common denominator (2 × 4 = 8) -> (5 × 4 + 7 × 2) / 8 = 34/8
Step 3: Simplify by greatest common divisor (2) -> 17/4
Worked Example Output & Step-by-Step Working
Sample Input Problem: Add mixed number 2 1/2 to mixed number 1 3/4.
Worked Industry Example Output:
Step 1: Convert to improper fractions Fraction 1: 2 1/2 = (2 * 2 + 1) / 2 = 5/2 Fraction 2: 1 3/4 = (1 * 4 + 3) / 4 = 7/4 Step 2: Find common denominator (4) and add numerators (5 * 2) / (2 * 2) + 7/4 = 10/4 + 7/4 = 17/4 Step 3: Convert to mixed number and decimal Mixed Number: 4 1/4 Decimal Equivalent: 4.25This worked example illustrates how our fraction calculation engine preserves exact fractional precision and clearly details every step of the mathematical solution.
Frequently Asked Questions About Fraction Calculations
To perform arithmetic with a whole number and a fraction, convert the whole number into an improper fraction by placing it over 1 (e.g. 5 becomes 5/1). Then find a common denominator for addition/subtraction, or multiply straight across for multiplication.
Explore Companion Calculators & Marketing Utilities
Solve everyday mathematics, analyze metric ratios, and optimize digital performance:
Percent Increase Calculator
Convert fractional growth into percentage gains and multipliers.
Percent Decrease Calculator
Calculate drops, cost cuts, and performance deficit reductions.
Markup Calculator
Turn fractional profit ratios into retail prices and gross margins.
Keyword Count Checker
Compute exact word frequencies and keyword concentration ratios.
How to Get Traffic for Free
Comprehensive blueprint for compounding free search visitors.
Top 12 Free Ways for Store Traffic
Free organic channels designed to scale e-commerce customer volume.