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分数计算器

计算分数运算并化简至最简分数

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Fraction

0
1

Mixed Number

0

Decimal

0

Step-by-Step Solution

  1. 1Find common denominator: LCD of 1 and 1 = 1
  2. 2Convert fractions: 0/1 = 0/1, 0/1 = 0/1
  3. 3Add numerators: 0 + 0 = 0
  4. 4Result: 0/1

Fraction Operations

Add/Subtract:

Find common denominator, then add/subtract numerators

Multiply:

Multiply numerators, multiply denominators

Divide:

Flip second fraction, then multiply

Simplify:

Divide both by greatest common divisor

Common Fraction Decimals

1/2 = 0.5
1/3 = 0.333
1/4 = 0.25
1/5 = 0.2
1/6 = 0.167
1/8 = 0.125
2/3 = 0.667
3/4 = 0.75
来源与方法
公式: a/b ± c/d = (ad ± bc) / bd

Fraction arithmetic operations

来源: Mathematical fraction operations

How to Use the Fraction Calculator

Our fraction calculator performs addition, subtraction, multiplication, and division on fractions with step-by-step solutions. It also simplifies fractions and converts between mixed numbers and improper fractions.

Operations Supported

  • Add Fractions: Find common denominator, add numerators
  • Subtract Fractions: Find common denominator, subtract numerators
  • Multiply Fractions: Multiply numerators, multiply denominators
  • Divide Fractions: Multiply by reciprocal of second fraction

Simplifying Fractions

Fractions are simplified by dividing both numerator and denominator by their greatest common divisor (GCD). For example: 6/8 → divide both by 2 → 3/4

Mixed Numbers

A mixed number combines a whole number and a fraction (e.g., 2 1/2). To convert:

  • Mixed to Improper: (whole × denominator) + numerator, keep denominator. 2 1/2 = (2×2+1)/2 = 5/2
  • Improper to Mixed: Divide numerator by denominator. 5/2 = 2 remainder 1 = 2 1/2

Finding Common Denominators

To add or subtract fractions, they need the same denominator. Find the least common multiple (LCM) of both denominators, then convert each fraction.

Related Math Calculators

For percentage calculations, use our percentage calculator. For advanced math including trigonometry and logarithms, try our scientific calculator.

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