Pratica di Shadowing: Multiplying Fractions - The Easy Way! - Impara a parlare inglese con i 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

📺 Stesso Canale

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Vocabolario e note di pronuncia per questa lezione

Questa lezione di conversazione di livello B1 si basa sul video “Multiplying Fractions - The Easy Way!”. Le parole che ritornano più spesso: multiply, fraction, cancel, answer, simplify. Questo video contiene 137 frasi e 1137 parole da ripetere con lo shadowing. Il parlato dura 10:15. Chi parla mantiene un ritmo costante di circa 111 parole al minuto, comodo per lo shadowing. Il 89% delle parole rientra nelle 3.000 più comuni dell’inglese, quindi il lessico è facile da seguire.

Vocaboli chiave di questo video

Le 10 parole più avanzate del video, con pronuncia e significato:

Parola	Pronuncia	Significato
multiply verbo	/ˈmʌltɪplaɪ/	moltiplicare
cancel verbo	/ˈkæn.sl̩/	depennare, cancellare
fraction sostantivo	/ˈfɹæk.ʃən/	frazione
divide verbo	/dɪˈvaɪd/	dividere, dividersi
divisible aggettivo	[dɪˈvɪzɪbəɫ]	divisibile
pause sostantivo	/pɔːz/	pausa
denominator sostantivo	/dɪˈnɒmɪneɪtə(ɹ)/	denominatore
multiplication sostantivo	/ˌmʌltɪplɪˈkeɪʃən/	moltiplicazione, proliferazione
rewrite verbo	/ɹiˈɹaɪt/	riscrivere
convert verbo	/kənˈvɝt/	convertire

I phrasal verb che sentirai

Parola	Pronuncia	Significato
go ahead verbo	/ˌɡoʊ əˈhɛd/	procedere, andare avanti
check out verbo		investigare
get over verbo		superare, vincere
turn out verbo		risultare

Frasi da ripetere

Frasi brevi e complete del video che puoi riutilizzare nella conversazione di tutti i giorni:

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?

La grammatica di questo video

Le strutture che chi parla usa di più, con le parole esatte del video:

Struttura	Nel video
Comparativi -er than / more … than — confrontare due cose	further than · easier than
Futuro con “going to” be going to + verbo — un piano o qualcosa che si vede arrivare	we're going to focus · we're going to multiply · is going to be
Obbligo: must / have to / need to dire che qualcosa è necessario	need to do · need to multiply · have to simplify

Pronuncia a cui fare attenzione

Chi parla usa 19 contrazioni e forme ridotte, come gonna, we're, can't. Pronunciale nella forma breve, così come le senti.

I suoni “sh” e “zh”: fraction /ˈfɹæk.ʃən/, multiplication /ˌmʌltɪplɪˈkeɪʃən/
Parole lunghe — attenzione all’accento: divisible [dɪˈvɪzɪbəɫ], denominator /dɪˈnɒmɪneɪtə(ɹ)/, multiplication /ˌmʌltɪplɪˈkeɪʃən/, numerator /ˈnuː.məɹˌeɪ̯.təɹ/

I suoni difficili per chi parla italiano:

Consonante finale — senza aggiungere una vocale dopo: divide /dɪˈvaɪd/, pause /pɔːz/, rewrite /ɹiˈɹaɪt/, convert /kənˈvɝt/
/æ/ — più aperta della “e”: cancel /ˈkæn.sl̩/, fraction /ˈfɹæk.ʃən/

Come esercitarsi con questo video

Ascolta tutto il video una volta senza parlare e annota le parole che non conosci.
Fai shadowing frase per frase a velocità normale, ripetendo ognuna finché il tuo ritmo coincide con quello di chi parla.
Registrati e confronta con l’originale, facendo attenzione a parole come multiply, cancel, fraction.

Cos'è la tecnica dello Shadowing?

Shadowing è una tecnica di apprendimento delle lingue supportata da studi scientifici, originariamente sviluppata per la formazione dei traduttori professionisti e resa popolare dal poliglotta Dr. Alexander Arguelles. Il metodo è semplice ma potente: ascolti un audio in inglese di madrelingua e lo ripeti immediatamente ad alta voce — come un'ombra che segue il parlante con un ritardo di solo 1–2 secondi. A differenza dell'ascolto passivo o degli esercizi di grammatica, lo shadowing costringe il tuo cervello e i muscoli della bocca a elaborare e riprodurre simultaneamente i modelli di discorso reale. La ricerca dimostra che migliora significativamente la precisione della pronuncia, l'intonazione, il ritmo, il discorso connesso, la comprensione dell'ascolto e la fluidità del parlato — rendendolo uno dei metodi più efficaci per la preparazione alla prova di speaking dell'IELTS e per la comunicazione reale in inglese.

Tecnica dello shadowing: leggi la guida completa passo dopo passo →

Pratica di Shadowing: Multiplying Fractions - The Easy Way! - Impara a parlare inglese con i video

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