跟读练习: Simplifying Fractions - 通过视频学习英语口语
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In this lesson, I'm going to talk about how to simplify fractions.
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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.
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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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本课的词汇与口语要点
这节 B1 级别的口语课以视频“Simplifying Fractions”为素材。 视频中反复出现的词有：simplify, divided, answer, fraction, cancel。 这段视频共有 45 个句子、326 个单词可供跟读。 讲话部分时长为 3:11。 说话人语速较慢，每分钟约 102 个词，你有足够的时间模仿每一个音。 90% 的单词属于英语最常用的 3,000 词，词汇容易理解。
视频中的重点词汇
视频中最难的 11 个单词，附发音和释义：
| 单词 | 发音 | 释义 |
|---|---|---|
| divide 动词 | /dɪˈvaɪd/ | 分, 分裂 |
| cancel 动词 | /ˈkæn.sl̩/ | 划, 勾 |
| fraction 名词 | /ˈfɹæk.ʃən/ | 部分 |
| lesson 名词 | /ˈlɛs.ən/ | 課業 /课业, -課 /-课 |
| simplify 动词 | /ˈsɪmplɪfaɪ/ | 簡化 /简化 |
| equal 形容词 | /ˈiːkwəl/ | 平等, 同等 |
| thus 副词 | /ˈðʌs/ | 如此, 這樣 /这样 |
| notice 动词 | /ˈnoʊ.tɪs/ | 注意 |
| basic 形容词 | /ˈbeɪsɪk/ | 基本的 |
| therefore 副词 | /ˈðɛɹ.fɔɹ/ | 所以, 因此 |
| realize 动词 | /ˈɹi(.ə)ˌlaɪz/ | 意識到 /意识到, 發現 /发现 |
视频中出现的短语动词
| 单词 | 发音 | 释义 |
|---|---|---|
| go ahead 动词 | /ˌɡoʊ əˈhɛd/ | 請便 /请便 |
需要注意的发音
- “th” 音: thus /ˈðʌs/, therefore /ˈðɛɹ.fɔɹ/
- 长单词——注意重音位置: divisible [dɪˈvɪzɪbəɫ], basically /ˈbeɪ.sɪk.(ə.)li/
中文母语者容易读错的音：
- /v/ — 不要读成 /w/，上齿轻触下唇: divide /dɪˈvaɪd/, divisible [dɪˈvɪzɪbəɫ]
- 词尾辅音 — 要读清楚，后面不要加元音: divide /dɪˈvaɪd/, sake /ˈseɪ̯k/, thus /ˈðʌs/, notice /ˈnoʊ.tɪs/, basic /ˈbeɪsɪk/
- /æ/ — 嘴张大，不要读成 /e/: cancel /ˈkæn.sl̩/, fraction /ˈfɹæk.ʃən/
如何用这段视频练习
- 先完整听一遍视频，不要开口，记下不认识的单词。
- 用正常速度逐句跟读，每句重复到你的节奏与说话人一致为止。
- 录下自己的声音并与原声对比，特别注意 divide, cancel, fraction 这类单词。
什么是跟读法？
跟读法 (Shadowing) 是一种有科学依据的语言学习技巧，最初开发用于专业口译员的培训，并由多语言者Alexander Arguelles博士普及。这个方法简单而强大：您在听英语母语原声的同时立即大声重复——就像是一个延迟1-2秒紧跟说话者的影子。与被动听力或语法练习不同，跟读法强迫您的大脑和口腔肌肉同时处理并模仿真实的讲话模式。研究表明它能显着提高发音准确性，语调，节奏，连读，听力理解和口语流利度——使其成为雅思口语备考和真实英语交流最有效的方法之一。