Shadowing-Übung: Multiplying Fractions - The Easy Way! - Englisch Sprechen Lernen mit Video

In this video we're going to focus on multiplying fractions.

So let's start with a simple example.

Let's multiply 3 over 5 by 4 over 7.

Now for each of these examples feel free to pause the video and try these problems yourself.

See if you can get the answer.

So what do we need to do in this problem?

How can we multiply these two fractions?

When multiplying fractions you need to multiply across.

So we're going to multiply 3 and 4 together.

3 times 4 is 12.

Next, we need to multiply the two denominators together.

5 times 7 is 35.

And so that's it for this problem.

That's all we need to do.

And the answer is 12 over 35.

Now, it's important to check and see if you could reduce the fraction.

And for this example, we can't simplify the fraction.

So the final answer is 12 over 35.

Now let's try another example.

Go ahead and multiply these two fractions.

2 over 5 times 3 over 11.

So once again, we're going to multiply across.

2 times 3 is 6.

And then we're going to multiply 5 and 11.

5 times 11 is 55.

And so this is the answer.

We can't simplify this answer.

Now let's try some examples where we have to simplify the final answer.

So let's multiply 3 over 2 by 4 over 9.

Go ahead and try this.

3 times 4 is 12.

And 2 times 9 is 18.

So we get 12 over 18.

How can we reduce that fraction?

Now, both of these numbers are even, so we can divide 12 and 18 by 2.

12 divided by 2 is 6.

18 divided by 2 is 9.

Now, can we reduce this fraction, or is that the final answer?

6 and 9 are both divisible by 3, so we could divide both numbers by 3.

6 divided by 3 is 2, 9 divided by 3 is 3.

So our final answer is 2 over 3.

Now there's another way in which you can get the same answer.

So once you got to, let's say this part, you could do it this way.

You could say 12 is 6 times 2, and 18 is 6 times 3.

So at this point, you can cancel the 6, and this will give you the final answer of 2 over 3.

So that's another way in which you could reduce a fraction.

Now let's work on another example that's similar to the last one.

4 over 3 times 9 over 8.

So pause the video and work on this example.

So let's multiply across.

What is 4 times 9?

4 times 9 is 36.

And what's 3 times 8?

3 times 8 is going to be 24.

So how can we reduce 36 over 24?

24 and 36 are multiples of 12.

12 times 3 is 36, and 12 times 2 is 24.

So it really helps to know your multiplication tables.

So at this point, we can cancel our 12.

And so the final answer is going to be 3 over 2.

Now let's talk about what to do when multiplying two fractions

that contain large numbers such as this one now what I

don't recommend is multiplying across 24 times 45 it's gonna be a big number let's see what

that number is gonna be if you multiply across that's gonna give you a thousand

and eighty and then if you multiply 27 by 32 that's gonna give you a large number as well.

That's going to be 864.

So what are you going to do to reduce this fraction?

That's not going to be fun and it's going to take a long time.

So there has to be an easier way of getting the answer for this problem.

And the key is to simplify before you multiply.

So, for instance, 28, we can write that as 8 times 3.

27, we can write it as 9 times 3, because 9 times 3 is 27.

Now, 45, you want to break it down into a number with a 9, so you can cancel this 9.

It turns out that 9 times 5 is 45.

And 32, we can represent it as 8 times 4.

So you want to break down these large numbers into smaller numbers in such a way

that you can cancel some of those smaller numbers.

So we can cancel an 8, we can cancel a 9, and we can cancel a 3.

And our final answer is just going to be 5 over 4.

we don't have to simplify any further than this as you

can see this second method is a lot easier than the first so

if you have large numbers I would avoid multiplying them to get even bigger numbers instead simplify before you multiply

so now it's your turn try this 56 over 44 times 55 over 40

go ahead and multiply these two fractions.

So let's not multiply 56 by 55.

Let's avoid that.

56, we can write that as 8 times 7.

44 is 11 times 4.

And 55 is 11 times 5.

40 is 8 times 5.

So we can cancel an 8.

We can cancel an 11.

And we can cancel a 5.

So the final answer is 7 over 4, and that's it.

Now, what if you get a problem that looks like this?

What is 8 multiplied by 5 over 3?

How can you take a whole number and multiply it by a fraction?

The key is to convert the whole number into a fraction.

8 is the same as 8 over 1.

100

In this case, 8 and 5, they're not large numbers, so we can multiply across.

101

And we can't really simplify before we multiply in this case.

102

So 8 times 5, that's going to be 40.

103

And then if we multiply 1 and 3, it's going to give us 3.

104

So our answer is 40 over 3 as an improper fraction.

105

Try this one.

106

7 over 6 multiplied by 9.

107

Go ahead and work on that example.

108

So let's rewrite 9 as 9 over 1.

109

Now this one we could simplify before we multiply if we want to.

110

6, we can write that as 3 times 2.

111

And 9 is 3 times 3.

112

So we can cancel a 3.

113

And so we're left with 7 times 3, which is 21 and 2 times 1 which is 2.

114

So the answer is 21 over 2.

115

By the way, if you want more videos on fractions, feel free to check out my next video on dividing fractions.

116

Which I'm going to post a link to that video in the description section of this video that you're currently watching.

117

But now let's get back to our next problem.

118

So let's say if we have 12 over 28 times 18 over 30 times 35 over 27.

119

How can we multiply these three fractions?

120

So go ahead and try this problem.

121

12 we can write

122

that as 6 times 2 28 we could say it's 7 times 4 18 we can write

123

that as 6 times 3

124

but yeah i'm gonna make that 9 times 2 because there's 27 and 27 is divisible by 9

125

30 is 6 times 5, 35 is 7 times 5, and 27 is 9 times 3.

126

So we can cancel a 9, we can cancel a 7,

127

we can cancel a 5, we can cancel a 6,

128

and notice that we can also cancel 4.

129

2 times 2 is 4.

130

So these 2s can cancel the 4 on the bottom.

131

So what's our final answer here?

132

Notice that every number in the numerators of the 3 fractions have been cancelled.

133

So what numbers should we put on top then if there's nothing to write?

134

Well, if we think about this, 9 divided by 9.

135

The reason why that cancels is because 9 over 9 is 1.

136

7 divided by 7 is 1 So when everything cancels, the number to right is a 1 Now we do have a 3 on the bottom,

137

so our final answer for this problem is 1 over 3 So this is the solution

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Wortschatz und Sprechhinweise zu dieser Lektion

Diese Sprechübung auf Niveau B1 basiert auf dem Video „Multiplying Fractions - The Easy Way!“. Diese Wörter kommen am häufigsten vor: multiply, fraction, cancel, answer, simplify. Dieses Video enthält 137 Sätze und 1137 Wörter zum Nachsprechen. Der gesprochene Teil dauert 10:15. Der Sprecher spricht gleichmäßig mit etwa 111 Wörtern pro Minute – ein angenehmes Tempo fürs Shadowing. 89 % der Wörter gehören zu den 3.000 häufigsten im Englischen, der Wortschatz ist also leicht zu verfolgen.

Wichtiger Wortschatz in diesem Video

Die 13 anspruchsvollsten Wörter aus dem Video, mit Aussprache und Bedeutung:

Wort	Aussprache	Bedeutung
multiply Verb	/ˈmʌltɪplaɪ/	vermehren
cancel Verb	/ˈkæn.sl̩/	ausstreichen, durchstreichen
fraction Substantiv	/ˈfɹæk.ʃən/	Bruchteil
divide Verb	/dɪˈvaɪd/	aufteilen, teilen
simplify Verb	/ˈsɪmplɪfaɪ/	vereinfachen
divisible Adjektiv	[dɪˈvɪzɪbəɫ]	teilbar, dividierbar
pause Substantiv	/pɔːz/	Pause
denominator Substantiv	/dɪˈnɒmɪneɪtə(ɹ)/	Nenner
multiplication Substantiv	/ˌmʌltɪplɪˈkeɪʃən/	Multiplikation
numerator Substantiv	/ˈnuː.məɹˌeɪ̯.təɹ/	Zähler
rewrite Verb	/ɹiˈɹaɪt/	umschreiben
improper Adjektiv	/ɪmˈpɹɑ.pɚ/	unpassend
convert Verb	/kənˈvɝt/	konvertieren, umwandeln

Phrasal Verbs, die du hören wirst

Wort	Aussprache	Bedeutung
go ahead Verb	/ˌɡoʊ əˈhɛd/	vorausgehen
break down Verb		versagen, den Geist aufgeben
check out Verb		überprüfen
get back to Verb		sich melden
get over Verb		überwinden
turn out Verb		sich herausstellen als/dass, sich erweisen als

Sätze zum Wiederholen

Kurze, vollständige Sätze aus dem Video, die du im Alltag wiederverwenden kannst:

How can we multiply these two fractions?
That's all we need to do.
We can't simplify this answer.
How can we reduce that fraction?
How can we multiply these three fractions?

Grammatik in diesem Video

Die Strukturen, die der Sprecher am häufigsten verwendet, mit den genauen Worten aus dem Video:

Struktur	Im Video
Komparativ -er than / more … than – zwei Dinge vergleichen	further than · easier than
Zukunft mit „going to“ be going to + Verb – ein Plan oder etwas, das sich abzeichnet	we're going to focus · we're going to multiply · is going to be
Verpflichtung: must / have to / need to sagen, dass etwas notwendig ist	need to do · need to multiply · have to simplify

Aussprache, auf die du achten solltest

Der Sprecher verwendet 19 Kurzformen und abgeschwächte Formen, zum Beispiel gonna, we're, can't. Sprich sie in der kurzen Form, so wie du sie hörst.

Die Laute „sh“ und „zh“: fraction /ˈfɹæk.ʃən/, multiplication /ˌmʌltɪplɪˈkeɪʃən/
Lange Wörter – auf die Betonung achten: divisible [dɪˈvɪzɪbəɫ], denominator /dɪˈnɒmɪneɪtə(ɹ)/, multiplication /ˌmʌltɪplɪˈkeɪʃən/, numerator /ˈnuː.məɹˌeɪ̯.təɹ/

Laute, die Deutschsprachigen schwerfallen:

Stimmhafter Auslaut — /b/, /d/, /g/, /z/, /v/ am Wortende nicht verhärten: divide /dɪˈvaɪd/, pause /pɔːz/
/æ/ — offener als „ä“: cancel /ˈkæn.sl̩/, fraction /ˈfɹæk.ʃən/

So übst du mit diesem Video

Höre dir das ganze Video einmal an, ohne zu sprechen, und notiere die Wörter, die du nicht kennst.
Sprich Satz für Satz in normaler Geschwindigkeit nach und wiederhole jeden, bis dein Rhythmus zum Sprecher passt.
Nimm dich auf und vergleiche mit dem Original; achte dabei auf Wörter wie multiply, cancel, fraction.

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.

Shadowing-Technik: die vollständige Schritt-für-Schritt-Anleitung lesen →

Shadowing-Übung: Multiplying Fractions - The Easy Way! - Englisch Sprechen Lernen mit Video

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