Shadowing-Übung: Simplifying Fractions - Englisch Sprechen Lernen mit Video
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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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Über diese Lektion
Was ist die Shadowing-Technik?
Shadowing ist eine wissenschaftlich fundierte Sprachlerntechnik, die ursprünglich für die professionelle Dolmetscherausbildung entwickelt und durch den Polyglotten Dr. Alexander Arguelles populär gemacht wurde. Die Methode ist einfach aber wirkungsvoll: Du hörst englisches Audio von Muttersprachlern und wiederholst es sofort laut — wie ein Schatten, der dem Sprecher mit nur 1–2 Sekunden Verzögerung folgt. Anders als passives Hören oder Grammatikübungen zwingt Shadowing dein Gehirn und deine Mundmuskulatur, gleichzeitig echte Sprachmuster zu verarbeiten und zu reproduzieren. Studien zeigen, dass es Aussprachegenauigkeit, Intonation, Rhythmus, verbundene Sprache, Hörverständnis und Sprechflüssigkeit signifikant verbessert — was es zu einer der effektivsten Methoden für die IELTS Speaking-Vorbereitung und reale englische Kommunikation macht.