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此计算器目前以英文显示，翻译正在准备中。

数学

已验证计算器，公式透明

数学

Add Fractions Calculator.

Adds two fractions and returns the result in simplest form.

结果随输入实时更新。
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您的输入

工作原理

  1. 1

    Find a common denominator by multiplying the two denominators.

  2. 2

    Convert each fraction to an equivalent fraction with that common denominator.

  3. 3

    Add the numerators and keep the common denominator.

  4. 4

    Simplify the resulting fraction if possible.

(numerator1*denominator2 + numerator2*denominator1) / (denominator1*denominator2)

常见问题

What if the denominators are the same?

Then you can simply add the numerators and keep the denominator, then simplify.

Can I add more than two fractions?

This calculator handles two fractions at a time. For more, add them in pairs.

How do I simplify the result?

Divide the numerator and denominator by their greatest common divisor (GCD).

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结果

公式已检查

Sum

0.833

询问任何问题

估算仅供参考——重要决策请咨询专业人士。

工作原理

Adds two fractions and returns the result in simplest form.

  1. Find a common denominator by multiplying the two denominators.
  2. Convert each fraction to an equivalent fraction with that common denominator.
  3. Add the numerators and keep the common denominator.
  4. Simplify the resulting fraction if possible.

公式

此计算器背后的数学公式，供您核对结果。

Addition of fractions

a/b + c/d = (a*d + c*b) / (b*d)

Multiply the numerator of each fraction by the denominator of the other, sum them, and divide by the product of the denominators.

Example:

Input: 1/2 + 1/3

Calculation: (1*3 + 1*2) / (2*3) = 5/6

Result: ≈ 0.8333

实际应用场景

此计算在日常生活中的应用。

Cooking measurements

Combine fractional ingredient amounts, like 1/2 cup plus 1/3 cup.

Example: 1/2 + 1/3 = 5/6 cup

Time calculations

Add fractional hours or minutes, such as 1/4 hour plus 1/2 hour.

Example: 1/4 + 1/2 = 3/4 hour

Construction and DIY

Sum fractional lengths, like 3/8 inch plus 1/4 inch.

Example: 3/8 + 1/4 = 5/8 inch

提示与常见错误

Tips

  • Always check if the denominators are the same first.
  • Simplify the final fraction to its lowest terms.
  • Use negative numerators for negative fractions.
  • Double-check your arithmetic when multiplying large numbers.

Common Mistakes to Avoid

  • Forgetting to multiply the numerator when converting to a common denominator.
  • Adding denominators directly instead of finding a common denominator.
  • Not simplifying the final fraction.

假设与限制

  • Use the stated inputs and units.
  • Results are estimates for planning and education.
  • Check measurements and source data before making an important decision.