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Sum Decimal
0.583333
公式
## How to Calculate with Fractions ### Addition **a/b + c/d = (a×d + b×c) / (b×d)** ### Subtraction **a/b - c/d = (a×d - b×c) / (b×d)** ### Multiplication **a/b × c/d = (a×c) / (b×d)** ### Division **a/b ÷ c/d = (a×d) / (b×c)** Results may need to be simplified by dividing both numerator and denominator by their greatest common factor.
计算示例
Calculate 1/3 + 1/4, 1/3 - 1/4, 1/3 × 1/4, and 1/3 ÷ 1/4.
- 01Sum: (1×4 + 3×1) / (3×4) = 7/12 ≈ 0.583333
- 02Difference: (1×4 - 3×1) / (3×4) = 1/12 ≈ 0.083333
- 03Product: (1×1) / (3×4) = 1/12 ≈ 0.083333
- 04Quotient: (1×4) / (3×1) = 4/3 ≈ 1.333333
常见问题
How do you add fractions with different denominators?
Find a common denominator by multiplying the two denominators together (b×d), then adjust each numerator accordingly: a/b + c/d = (a×d + b×c) / (b×d).
How do you simplify fractions?
Divide both the numerator and denominator by their greatest common factor (GCF). For example, 6/12 simplifies to 1/2 because GCF(6,12) = 6.
How do you divide fractions?
To divide fractions, multiply the first fraction by the reciprocal of the second: a/b ÷ c/d = a/b × d/c = (a×d) / (b×c). Remember "keep, change, flip" — keep the first fraction, change division to multiplication, flip the second fraction.
What is an improper fraction and how do you convert it to a mixed number?
An improper fraction has a numerator larger than its denominator (e.g., 7/4). To convert to a mixed number, divide the numerator by the denominator: 7 ÷ 4 = 1 remainder 3, so 7/4 = 1 and 3/4.
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