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Addition of unlike fractions
異分母加法 (Addition of Unlike Fractions)
兩個分數的分母不同時,我們不能直接相加!就像兩個大小不同的薄餅,不能直接拼湊計算。我們必須先「通分母」,將它們切成相同大小的等份。我們要找兩個分數分母的最小公倍數 (L.C.M.),將兩個分數各自擴分成同樣分母後,才可以把分子加起來!
When two fractions have different denominators, we cannot add them directly! It's just like having two different-sized pizzas—you can't simply piece them together to count them. We must first "find a common denominator" to divide them into equal-sized portions. We need to find the least common multiple (L.C.M.) of the two denominators, expand each fraction to share this same denominator, and only then can we add the numerators together!
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