📖 New to this tool? Read the step-by-step guide →

🔢 Konvertibly Math Calculator

Professional mathematical conversions and calculations. Convert fractions, decimals, number systems, and perform geometric calculations with step-by-step solutions.

Conversion Result

Step-by-Step Solution

Common Mathematical Calculations
1/2
→
0.5
0.75
→
3/4
10
→
1010₂
90°
→
π/2 rad
FF₁₆
→
255
0.25
→
25%
r = 5
→
A = 78.54
1111₂
→
15
Math Categories
🔢

Fractions & Decimals

1/2 ↔ 0.5 0.75 ↔ 3/4 25% ↔ 0.25
🧮

Number Systems

10 ↔ 1010₂ 255 ↔ FF₁₆ 8 ↔ 10₈
📐

Geometry

Circle Area Square Area Volume
📏

Trigonometry

90° ↔ π/2 sin, cos, tan Radians ↔ Degrees
📊

Algebra

Linear Equations Quadratic Solver Factoring
📈

Statistics

Mean & Median Standard Dev Probability
🔄

Sequences

Arithmetic Geometric Fibonacci
∫

Calculus

Derivatives Integrals Limits

📐 How It Works

Counts ordered arrangements of r items chosen from n. Order matters — choosing ABC is different from choosing BAC.

P(n,r) = n! / (n−r)!

🔢 Worked Examples

📋 Common Use Cases

💡 Did You Know?

The total number of permutations of a 9×9 Sudoku puzzle (before constraints) is P(81,81) = 81! ≈ 5.8×10¹²⁰ — but valid Sudokus number only about 6.7×10²¹.

⚠️ Common Mistake

Using permutations when order doesn't matter — "choose 3 toppings from 10" is a combination, not a permutation. C(10,3) = 120, not P(10,3) = 720.