Xzfracal (Exact Fraction Calculator) Online Version

精確分數計算器在線版

Xzfracal is designed to handle many complex mathematical expressions involving fractions (rational numbers) with ease and precision. You can enter a complex expression involving integers, fractions, mixed fractions and repeating decimals in various bases (between 2 and 36) directly. Last modified: 2013-Sep-23

The followings are samples of problems that can be solved easily and accurately with Xzfracal:

• Conversion between fractions and repeating decimals.
• Input, output and conversion of fractions in any bases (radix) between 2 and 36. (Not yet available to Android version)
• Complicated arithmetic of fractions, mixed fractions, and (repeating) decimals.
• Comparison of fractions, mixed fractions, and (repeating) decimals.
• Factorization of integers.
• Greatest common divisors and least common multiples of integers.
• Integer and modulo divisions of integers.
• Optimal rational approximation.
• Factorial, combination, and permutation.
• Polynomial operations: addition, subtraction, multiplication, division, power, composition, evaluation.
• Matrix operations: addition, subtraction, multiplication, trace, determinant, transpose, inverse.
• System of linear equations.
• Arithmetic of quadratic surds: addition, subtraction, multiplication, division, and conjugation.
• Multiple statements can be separated by semicolons and caculated sequentially.
• Memory: results from earlier calculations can be re-used in later calculations.

Xzfracal computes the EXACT answers to all supported operations on integers and fractions provided there is enough memory and time to complete the computations. Please refer to the video and links for more details.

Xzfracal 是一個多功能的精確分數（有理數）計算器，能夠準確處理以下的運算：

• 分數，帶分數，循環小數的互相轉換
• 二進制至三十六進制混合的算式，不同進制的互相轉換 (Android版本暫時還沒有此功能)
• 整數，分數，帶分數，循環小數混合在一起的複雜四則和整數冪運算
• 整數，分數，帶分數，循環小數的數值比較，一組數值的最大和最小值
• 整数的質因數分解
• 通分母，最大公約數，最小公倍數
• 整數除，模除
• 最佳有理近似值
• 階乘，排列和組合個數
• 多項式的運算：加，減，乘，除，餘，冪，複合運算
• 矩陣的運算：加，減，乘，轉置，逆，跡
• 行列式
• 線性方程組
• 平方根式的運算：加，減，乘，除，共軛
• 多算式串聯模式：可以用分號將多個算式串聯起來
• 記憶：後面的算式可以隨意調用前面的算式答案

下面的鏈接和視頻有更多的介紹和例子。 算式的輸入很簡單和直觀， 只要觀看視頻一次，就可以開始使用此計算器！ 如果你喜歡這個計算器，我建議你下載 Android 版。