भिन्न कैलकुलेटर
भिन्नों को जोड़ें, घटाएं, गुणा और भाग करें।
उपयोग कैसे करें
- Enter the numerator and denominator of the first fraction.
- Select the operation (Add, Subtract, Multiply, or Divide).
- Enter the second fraction and click Calculate to get the simplified result.
फॉर्मूला
Add: a/b + c/d = (ad + bc) / bd
Subtract: a/b − c/d = (ad − bc) / bd
Multiply: a/b × c/d = ac / bd
Divide: a/b ÷ c/d = ad / bc
Simplify using GCD (Greatest Common Divisor)
उदाहरण गणना
Example: 1/2 + 1/3
| Step | Value |
|---|---|
| Common denominator | 2 × 3 = 6 |
| 1/2 = 3/6 | 3/6 |
| 1/3 = 2/6 | 2/6 |
| 3/6 + 2/6 | 5/6 |
| Result (simplified) | 5/6 = 0.833... |
अक्सर पूछे जाने वाले प्रश्न
Find the LCM (Lowest Common Multiple) of the denominators. Convert both fractions to have this common denominator, then add the numerators.
Multiply numerators together and denominators together: (a/b) × (c/d) = (a×c) / (b×d). Then simplify by dividing by the GCD.
Flip the second fraction (find its reciprocal) and then multiply: (a/b) ÷ (c/d) = (a/b) × (d/c) = ad/bc.
A mixed number combines a whole number and a proper fraction, e.g., 1½ (one and a half). Convert: 3/2 = 1½ since 3÷2 = 1 remainder 1.
GCD (Greatest Common Divisor) is the largest number that divides both numerator and denominator evenly. Used to simplify fractions: 6/8 ÷ GCD(6,8)=2 = 3/4.