分数計算ツール
分数の計算を解き、最も簡単な形に約分
Fraction
Mixed Number
0
Decimal
0
Step-by-Step Solution
- 1Find common denominator: LCD of 1 and 1 = 1
- 2Convert fractions: 0/1 = 0/1, 0/1 = 0/1
- 3Add numerators: 0 + 0 = 0
- 4Result: 0/1
Fraction Operations
Add/Subtract:
Find common denominator, then add/subtract numerators
Multiply:
Multiply numerators, multiply denominators
Divide:
Flip second fraction, then multiply
Simplify:
Divide both by greatest common divisor
Common Fraction Decimals
出典と方法論
a/b ± c/d = (ad ± bc) / bdFraction arithmetic operations
How to Use the Fraction Calculator
Our fraction calculator performs addition, subtraction, multiplication, and division on fractions with step-by-step solutions. It also simplifies fractions and converts between mixed numbers and improper fractions.
Operations Supported
- Add Fractions: Find common denominator, add numerators
- Subtract Fractions: Find common denominator, subtract numerators
- Multiply Fractions: Multiply numerators, multiply denominators
- Divide Fractions: Multiply by reciprocal of second fraction
Simplifying Fractions
Fractions are simplified by dividing both numerator and denominator by their greatest common divisor (GCD). For example: 6/8 → divide both by 2 → 3/4
Mixed Numbers
A mixed number combines a whole number and a fraction (e.g., 2 1/2). To convert:
- Mixed to Improper: (whole × denominator) + numerator, keep denominator. 2 1/2 = (2×2+1)/2 = 5/2
- Improper to Mixed: Divide numerator by denominator. 5/2 = 2 remainder 1 = 2 1/2
Finding Common Denominators
To add or subtract fractions, they need the same denominator. Find the least common multiple (LCM) of both denominators, then convert each fraction.
Related Math Calculators
For percentage calculations, use our percentage calculator. For advanced math including trigonometry and logarithms, try our scientific calculator.
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