➕ 分数加减计算器（带分数、通分步骤、最简结果）Adding and Subtracting Fractions Calculator (Mixed Numbers, Common Denominator Steps)
计算两个分数或带分数的和与差：先化成假分数，用最小公倍数通分，给出每一步、最简结果、带分数和小数。整数部分可留空，分子可为负数。本地处理。Add or subtract two fractions or mixed numbers: convert to improper fractions, use the least common denominator, and see every step, the result in lowest terms, as a mixed number and as a decimal. Whole parts may be blank; numerators may be negative. Processed locally.
使用说明与常见问题How-to & FAQ
「分数加减计算器（带分数、通分步骤、最简结果）」是什么？What is the Adding and Subtracting Fractions Calculator (Mixed Numbers, Common Denominator Steps) tool?
计算两个分数或带分数的和与差：先化成假分数，用最小公倍数通分，给出每一步、最简结果、带分数和小数。整数部分可留空，分子可为负数。本地处理。Add or subtract two fractions or mixed numbers: convert to improper fractions, use the least common denominator, and see every step, the result in lowest terms, as a mixed number and as a decimal. Whole parts may be blank; numerators may be negative. Processed locally.
如何使用「分数加减计算器（带分数、通分步骤、最简结果）」？How do I use the Adding and Subtracting Fractions Calculator (Mixed Numbers, Common Denominator Steps) tool?
在「分数加减计算器（带分数、通分步骤、最简结果）」中，填写「整数部分 1（可选）」、「分子 1」、「分母 1」、「运算」、「整数部分 2（可选）」等参数，结果会随输入实时计算并显示在下方。In the Adding and Subtracting Fractions Calculator (Mixed Numbers, Common Denominator Steps): Fill in "Whole part 1 (optional)", "Numerator 1", "Denominator 1", "Operation", "Whole part 2 (optional)"; results are recalculated instantly as you type.
分母不同的分数怎么相加？How do I add fractions with different denominators?
先找两个分母的最小公倍数作为公分母，把两个分数都化成这个分母，再把分子相加。例如 3/4 + 1 5/6：化成 3/4 + 11/6，公分母 12：9/12 + 22/12 = 31/12 = 2 7/12。Find the least common multiple of the denominators, rewrite both fractions with it, then add the numerators. For 3/4 + 1 5/6: 3/4 + 11/6, common denominator 12: 9/12 + 22/12 = 31/12 = 2 7/12.
负的带分数怎么输入？How do I enter a negative mixed number?
把负号写在整数部分：−2 1/2 输入为整数部分 −2、分子 1、分母 2，表示 −(2 + 1/2) = −5/2。Put the minus sign on the whole part: −2 1/2 is whole part −2, numerator 1, denominator 2, meaning −(2 + 1/2) = −5/2.
能举个计算实例吗？Can you show a worked example?
例如在「分数加减计算器（带分数、通分步骤、最简结果）」中填 分子 1 = 3，分母 1 = 4，运算 = 加 +，整数部分 2（可选） = 1，分子 2 = 5，分母 2 = 6，结果区显示：结果：31/12；带分数：2 7/12；小数：2.5833333333；① 化成假分数：3/4 + 11/6；② 通分（最小公分母 12）：9/12 + 22/12；③ 分子相加：(9 + 22)/12 = 31/12；④ 约分：31/12 = 31/12For example, entering Numerator 1 = 3, Denominator 1 = 4, Operation = Add +, Whole part 2 (optional) = 1, Numerator 2 = 5, Denominator 2 = 6 in the Adding and Subtracting Fractions Calculator (Mixed Numbers, Common Denominator Steps) gives: Result: 31/12; Mixed number: 2 7/12; Decimal: 2.5833333333; ① Improper fractions: 3/4 + 11/6; ② Common denominator (12): 9/12 + 22/12; ③ Add numerators: (9 + 22)/12 = 31/12; ④ Simplify: 31/12 = 31/12
哪些输入会被检查？Which inputs are validated?
「分数加减计算器（带分数、通分步骤、最简结果）」会检查这些输入——「整数部分 1（可选）」、「整数部分 2（可选）」：可留空；「分子 1」、「分母 1」、「分子 2」、「分母 2」：必须填写；绝对值超过 10¹⁵ 的数也会被拒绝。不符合时结果区显示具体提示，不会给出数字。The Adding and Subtracting Fractions Calculator (Mixed Numbers, Common Denominator Steps) checks its inputs — "Whole part 1 (optional)", "Whole part 2 (optional)": optional; "Numerator 1", "Denominator 1", "Numerator 2", "Denominator 2": required; numbers above 10¹⁵ in absolute value are rejected too. When a value fails, the result area names the problem instead of showing a number.
有哪些选项可以调整？What options can I adjust?
「分数加减计算器（带分数、通分步骤、最简结果）」的设置：「整数部分 1（可选）」可留空；「分子 1」默认 3；「分母 1」默认 4；「运算」可选 加 +、减 −（默认 加 +）；「整数部分 2（可选）」默认 1；「分子 2」默认 5；「分母 2」默认 6。每次生成结果都按当前设置处理。Settings in the Adding and Subtracting Fractions Calculator (Mixed Numbers, Common Denominator Steps) — "Whole part 1 (optional)" optional; "Numerator 1" default 3; "Denominator 1" default 4; "Operation": Add +, Subtract − (default Add +); "Whole part 2 (optional)" default 1; "Numerator 2" default 5; "Denominator 2" default 6. The result always uses the current settings.
计算精度如何？How precise are the results?
「分数加减计算器（带分数、通分步骤、最简结果）」使用 JavaScript 双精度浮点数（约 15–16 位有效数字）；极大或极小的数值可能存在精度误差。The Adding and Subtracting Fractions Calculator (Mixed Numbers, Common Denominator Steps) uses double-precision floating point (about 15–16 significant digits); very large or very small values may lose precision.
「分数加减计算器（带分数、通分步骤、最简结果）」免费吗？需要注册吗？Is the Adding and Subtracting Fractions Calculator (Mixed Numbers, Common Denominator Steps) free? Do I need an account?
「分数加减计算器（带分数、通分步骤、最简结果）」完全免费，无需注册或安装，打开网页即可使用，手机和电脑都能用；输入的内容只在你的浏览器本地处理。The Adding and Subtracting Fractions Calculator (Mixed Numbers, Common Denominator Steps) is completely free with no sign-up or install and works on phones and desktops; what you enter is processed only in your browser.