跟讀練習: Simplifying Fractions - 通過影片學習英語口語
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45 句
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1
In this lesson, I'm going to talk about how to simplify fractions.
2
So let's start with a basic example, 6 over 8.
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How can we simplify this fraction?
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Well, notice that 6 and 8 are both even numbers.
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So therefore, we can divide each number by 2.
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6 divided by 2 is 3.
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8 divided by 2 is 4.
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And so the answer is going to be 3 over 4.
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Now what about 8 over 12?
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How can we simplify that fraction?
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So 8 and 12 are even numbers, so we can divide each number by 2.
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8 divided by 2 is 4, 12 divided by 2 is 6.
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Now we still have even numbers, so we can divide it by 2 again.
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4 divided by 2 is 2, 6 divided by 2 is 3.
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so the answer is 2 over 3.
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Another way in which you can do that problem is you could realize
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that 8 is basically 4 times 2 and 12 is 4 times 3
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and so you can cancel 4 and then this will give you the final result of 2 over 3.
19
For the sake of practice go ahead and try these two examples 15 over 24 and 35 over 49
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go ahead and simplify those two fractions 15 is 5 times 3 24 is 8 times 3
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so we could cancel a 3 and
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so the final answer for the first example it's going to be 5 over 8
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Now let's move on to the next example.
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What do you know about 35 and 49?
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35 and 49 have a common number that goes into both of them, and that is 7.
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35 is 7 times 5.
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49 is 7 times 7.
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And so we could cancel a 7, giving us the answer 5 over 7.
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Try these two.
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48 over 72 and also 38 over 57.
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Now 48, what two numbers do you think is equal to 48?
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The first two numbers that come in my mind are 8 and 6.
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And 72 is 9 times 8 or 8 times 9.
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So we could cancel on 8.
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Now we could still simplify this further.
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6 is 3 times 2.
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9 is 3 times 3.
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And so these can be cancelled.
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Thus the final answer for that problem is 2 over 3.
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Now what about 38 and 57?
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Both numbers are divisible by 19.
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19 times 2 is 38.
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19 times 3 is 57.
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And once again, the final answer is 2 over 3.
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So now you know how to simplify fractions.
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本課的詞彙與口語要點
這節 B1 級別的口語課以影片“Simplifying Fractions”為素材。 影片中反覆出現的詞有：simplify, divided, answer, fraction, cancel。 這段影片共有 45 個句子、326 個單詞可供跟讀。 講話部分時長為 3:11。 說話人語速較慢，每分鐘約 102 個詞，你有足夠的時間模仿每一個音。 90% 的單詞屬於英語最常用的 3,000 詞，詞彙容易理解。
影片中的重點詞彙
影片中最難的 11 個單詞，附發音和釋義：
| 單詞 | 發音 | 釋義 |
|---|---|---|
| divide 動詞 | /dɪˈvaɪd/ | 分, 分裂 |
| cancel 動詞 | /ˈkæn.sl̩/ | 劃, 勾 |
| fraction 名詞 | /ˈfɹæk.ʃən/ | 部分 |
| lesson 名詞 | /ˈlɛs.ən/ | 課業 /課業, -課 /-課 |
| simplify 動詞 | /ˈsɪmplɪfaɪ/ | 簡化 /簡化 |
| equal 形容詞 | /ˈiːkwəl/ | 平等, 同等 |
| thus 副詞 | /ˈðʌs/ | 如此, 這樣 /這樣 |
| notice 動詞 | /ˈnoʊ.tɪs/ | 注意 |
| basic 形容詞 | /ˈbeɪsɪk/ | 基本的 |
| therefore 副詞 | /ˈðɛɹ.fɔɹ/ | 所以, 因此 |
| realize 動詞 | /ˈɹi(.ə)ˌlaɪz/ | 意識到 /意識到, 發現 /發現 |
影片中出現的短語動詞
| 單詞 | 發音 | 釋義 |
|---|---|---|
| go ahead 動詞 | /ˌɡoʊ əˈhɛd/ | 請便 /請便 |
需要注意的發音
- “th” 音: thus /ˈðʌs/, therefore /ˈðɛɹ.fɔɹ/
- 長單詞——注意重音位置: divisible [dɪˈvɪzɪbəɫ], basically /ˈbeɪ.sɪk.(ə.)li/
中文母語者容易讀錯的音：
- /v/ — 不要讀成 /w/，上齒輕觸下唇: divide /dɪˈvaɪd/, divisible [dɪˈvɪzɪbəɫ]
- 詞尾子音 — 要讀清楚，後面不要加母音: divide /dɪˈvaɪd/, sake /ˈseɪ̯k/, thus /ˈðʌs/, notice /ˈnoʊ.tɪs/, basic /ˈbeɪsɪk/
- /æ/ — 嘴張大，不要讀成 /e/: cancel /ˈkæn.sl̩/, fraction /ˈfɹæk.ʃən/
如何用這段影片練習
- 先完整聽一遍影片，不要開口，記下不認識的單詞。
- 用正常速度逐句跟讀，每句重複到你的節奏與說話人一致為止。
- 錄下自己的聲音並與原聲對比，特別注意 divide, cancel, fraction 這類單詞。
什麼是跟讀法？
跟讀法 (Shadowing) 是一種有科學依據的語言學習技巧，最初開發用於專業口譯員的培訓，並由多語言者Alexander Arguelles博士普及。這個方法簡單而強大：您在聽英語母語原聲的同時立即大聲重複——就像是一個延遲1-2秒緊跟說話者的影子。與被動聽力或語法練習不同，跟讀法強迫您的大腦和口腔肌肉同時處理並模模擬實的講話模式。研究表明它能顯著提高發音準確性，語調，節奏，連讀，聽力理解和口語流利度——使其成為雅思口語備考和真實英語交流最有效的方法之一。