Manual A. Overview

Xzfracal is an Exact Fraction Calculator. It can perform the following tasks easily and accurately:

  • Conversion between fractions, mixed fractions, finite and repeating decimals.
  • Conversion of numbers of different basis (from 2 to 36).
  • Complicated arithmetic of fractions, mixed fractions, finite and repeating decimals.
  • Comparison of fractions, mixed fractions, finite 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.

Xzfracal 是一個多功能的精確分數計算器,能夠準確處理以下的運算:

  • 分數,帶分數,有限和循環小數的互相轉換
  • 不同進位制(2至36)的分數,有限和循環小數的互相轉換
  • 整數,分數,帶分數,有限和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,有限和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,取值,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

Xzfracal is user-friendly:

  • Xzfracal is designed to handle the input of fractions, mixed fractions, finite and repeating decimals with ease.
  • Xzfracal is designed to handle the input of numbers in different radixes (base 2 to 36) with ease.
  • Xzfracal saves answers in a history stack, you can reuse any previous result in a new expression.
  • The output is very flexible. For example, you can configure Xzfracal to display the output as a fraction in base 5, as a mixed fraction in base 10, and as a repeating decimal in base 12, all at the same time.

Xzfracal 的用戶界面人性化,用戶可以:

  • 直接輸入分數,帶分數,小數和循環小數
  • 隨意混合不同的進位制(2至36)
  • 隨意調用舊算式的結果
  • 靈活設定計算結果的表達形式

More highlights:

  • Xzfracal computes the EXACT answers to supported operations on integers and fractions (provided there is enough memory and time to complete the computations).
  • An overview/tutorial video is posted on youtube.
  • An extensive manual is posted on the home page of Xzfracal.
  • Xzfracal is free for personal, non-commercial use.
  • Xzfracal does NOT rely on advertisement, hence no distraction.
  • Xzfracal does NOT have other add-ons or plug-ins.
  • Xzfracal does NOT query, collect, store, or transmit user information.

其他特點:

  • 在充裕的時間和記憶環境下,計算結果都是精確的
  • 有配套的概觀/教程視頻
  • 有詳盡的使用手冊
  • 允許個人免費非商業用途使用
  • 不依賴或捆綁廣告
  • 不內藏或外掛其他軟件
  • 不提取,收集,存儲或傳送用戶信息

I spent a lot of time and effort developing this software; I hope you enjoy using it. If you like this product, please show your appreciation and encouragement by giving this software a favorable rating/recommendation. This product is free for personal, non-commercial use. If you find this product useful, please consider supporting my developing this software. Your support will be appreciated. In return, I'll be able to improve existing and develop new products. You can find video, manual, updates, and more details at the Home of Xzfracal.

我開發 Xzfracal 原本只是為了方便自己計算涉及分數和循環小數的複雜算式, 因此準確性, 靈活性和功能是最重要的,用戶界面是次要的。 一些朋友用過此軟件,覺得功能強,獨特和先進, 都很喜歡使用。並且建議我改善用戶界面,公開推廣。 現在我重新優化和增強此軟件的計算引擎, 大大的改善用戶界面,撰寫使用手冊和製作視頻,再包裝送給大家,希望你們喜歡。

我化了不少時間和精力開發此軟件,希望你喜歡此軟件。 如果你喜歡此軟件, 請給本軟件一個好的評價。 你可以免費非商業性的使用本軟件。如果此軟件對你有幫助,請考慮支持我開發此軟件。 我會感謝你的支持。你的支持讓我可以更快和更有效的升級和開發新的軟件。 Xzfracal 官方網站 有視頻,使用手冊,和其他資訊。

為了保證你的計算器是原裝的100%安全,以及是最新的版本,請到 Google Play Store 下載本計算器。 Xzfracal 算式的輸入很簡單和直觀,只要參考使用手冊的例子或 youtube 上的有關視頻,就可以開始使用此計算器!