Shadowing Practice: Multiplying Fractions - The Easy Way! - Learn English Speaking with Video
Les maken...
1
In this video we're going to focus on multiplying fractions.
2
So let's start with a simple example.
3
Let's multiply 3 over 5 by 4 over 7.
4
Now for each of these examples feel free to pause the video and try these problems yourself.
5
See if you can get the answer.
6
So what do we need to do in this problem?
7
How can we multiply these two fractions?
8
When multiplying fractions you need to multiply across.
9
So we're going to multiply 3 and 4 together.
10
3 times 4 is 12.
11
Next, we need to multiply the two denominators together.
12
5 times 7 is 35.
13
And so that's it for this problem.
14
That's all we need to do.
15
And the answer is 12 over 35.
16
Now, it's important to check and see if you could reduce the fraction.
17
And for this example, we can't simplify the fraction.
18
So the final answer is 12 over 35.
19
Now let's try another example.
20
Go ahead and multiply these two fractions.
21
2 over 5 times 3 over 11.
22
So once again, we're going to multiply across.
23
2 times 3 is 6.
24
And then we're going to multiply 5 and 11.
25
5 times 11 is 55.
26
And so this is the answer.
27
We can't simplify this answer.
28
Now let's try some examples where we have to simplify the final answer.
29
So let's multiply 3 over 2 by 4 over 9.
30
Go ahead and try this.
31
3 times 4 is 12.
32
And 2 times 9 is 18.
33
So we get 12 over 18.
34
How can we reduce that fraction?
35
Now, both of these numbers are even, so we can divide 12 and 18 by 2.
36
12 divided by 2 is 6.
37
18 divided by 2 is 9.
38
Now, can we reduce this fraction, or is that the final answer?
39
6 and 9 are both divisible by 3, so we could divide both numbers by 3.
40
6 divided by 3 is 2, 9 divided by 3 is 3.
41
So our final answer is 2 over 3.
42
Now there's another way in which you can get the same answer.
43
So once you got to, let's say this part, you could do it this way.
44
You could say 12 is 6 times 2, and 18 is 6 times 3.
45
So at this point, you can cancel the 6, and this will give you the final answer of 2 over 3.
46
So that's another way in which you could reduce a fraction.
47
Now let's work on another example that's similar to the last one.
48
4 over 3 times 9 over 8.
49
So pause the video and work on this example.
50
So let's multiply across.
51
What is 4 times 9?
52
4 times 9 is 36.
53
And what's 3 times 8?
54
3 times 8 is going to be 24.
55
So how can we reduce 36 over 24?
56
24 and 36 are multiples of 12.
57
12 times 3 is 36, and 12 times 2 is 24.
58
So it really helps to know your multiplication tables.
59
So at this point, we can cancel our 12.
60
And so the final answer is going to be 3 over 2.
61
Now let's talk about what to do when multiplying two fractions
62
that contain large numbers such as this one now what I
63
don't recommend is multiplying across 24 times 45 it's gonna be a big number let's see what
64
that number is gonna be if you multiply across that's gonna give you a thousand
65
and eighty and then if you multiply 27 by 32 that's gonna give you a large number as well.
66
That's going to be 864.
67
So what are you going to do to reduce this fraction?
68
That's not going to be fun and it's going to take a long time.
69
So there has to be an easier way of getting the answer for this problem.
70
And the key is to simplify before you multiply.
71
So, for instance, 28, we can write that as 8 times 3.
72
27, we can write it as 9 times 3, because 9 times 3 is 27.
73
Now, 45, you want to break it down into a number with a 9, so you can cancel this 9.
74
It turns out that 9 times 5 is 45.
75
And 32, we can represent it as 8 times 4.
76
So you want to break down these large numbers into smaller numbers in such a way
77
that you can cancel some of those smaller numbers.
78
So we can cancel an 8, we can cancel a 9, and we can cancel a 3.
79
And our final answer is just going to be 5 over 4.
80
we don't have to simplify any further than this as you
81
can see this second method is a lot easier than the first so
82
if you have large numbers I would avoid multiplying them to get even bigger numbers instead simplify before you multiply
83
so now it's your turn try this 56 over 44 times 55 over 40
84
go ahead and multiply these two fractions.
85
So let's not multiply 56 by 55.
86
Let's avoid that.
87
56, we can write that as 8 times 7.
88
44 is 11 times 4.
89
And 55 is 11 times 5.
90
40 is 8 times 5.
91
So we can cancel an 8.
92
We can cancel an 11.
93
And we can cancel a 5.
94
So the final answer is 7 over 4, and that's it.
95
Now, what if you get a problem that looks like this?
96
What is 8 multiplied by 5 over 3?
97
How can you take a whole number and multiply it by a fraction?
98
The key is to convert the whole number into a fraction.
99
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
📺 Zelfde Kanaal
B11
Simplifying Fractions
American AccentHigh School StudentsUniversity Students
B1Fractions
American AccentHigh School StudentsUniversity Students
B1Subtracting Fractions
American AccentHigh School StudentsUniversity Students
B1Adding Fractions With Unlike Denominators
American AccentHigh School StudentsUniversity Students
C14
First Law of Thermodynamics, Basic Introduction - Internal Energy, Heat and Work - Chemistry
American AccentIELTS PrepTOEFL PrepCambridge Exam Prep
✨ Aanbevolen Video
B136
18 zinnen
The 7 Habits of Highly Successful Students (Part 2) 🏆
American AccentBusiness EnglishDaily ConversationHigh School Students
B1345 zinnen
Fractions Made EASY!
Daily ConversationHigh School StudentsUniversity Students
B141
62 zinnen
B1 English Listening Practice - Tipping
American AccentTravel EnglishTeensDaily Conversation
B11
33 zinnen
Composite Area Example 1
High School StudentsUniversity Students
B12
74 zinnen
Elements | Middle school chemistry | Khan Academy
American AccentHigh School StudentsUniversity Students
B11
57 zinnen
Stop frying eggs the old way! Here's an egg frying trick that not everyone knows | Kitchen Tips
Travel EnglishTeensDaily Conversation
B11
166 zinnen
WHAT ARE NATURAL NUMBERS?
High School StudentsUniversity Students
B238 zinnen
Extras ArcLength YouTube
American AccentHigh School StudentsUniversity Students
B13
169 zinnen
"Why Does My Makeup Look Cakey?" | Perfect Your Base Routine With These Steps!
TeensDaily ConversationHigh School Students
B14
46 zinnen
Science in English #7 | Properties of Homogeneous Mixtures
TOEFL PrepCambridge Exam PrepHigh School Students
Woordenschat en spreektips bij deze les
Deze spreekles op niveau B1 is gebaseerd op de video “Multiplying Fractions - The Easy Way!”. Deze woorden komen het vaakst terug: multiply, fraction, cancel, answer, simplify. Deze video bevat 137 zinnen en 1137 woorden om na te spreken. Het gesproken deel duurt 10:15. De spreker praat in een gelijkmatig tempo van ongeveer 111 woorden per minuut, prettig om te shadowen. 89% van de woorden hoort bij de 3.000 meest gebruikte Engelse woorden, dus de woordenschat is goed te volgen.
Belangrijke woorden in deze video
De 12 moeilijkste woorden uit de video, met uitspraak en betekenis:
| Woord | Uitspraak | Betekenis |
|---|---|---|
| multiply werkwoord | /ˈmʌltɪplaɪ/ | vermenigvuldigen |
| cancel werkwoord | /ˈkæn.sl̩/ | doorhalen, schrappen |
| fraction zelfstandig naamwoord | /ˈfɹæk.ʃən/ | fractie |
| divide werkwoord | /dɪˈvaɪd/ | verdelen |
| simplify werkwoord | /ˈsɪmplɪfaɪ/ | vereenvoudigen, versimpelen |
| divisible bijvoeglijk naamwoord | [dɪˈvɪzɪbəɫ] | deelbaar |
| pause zelfstandig naamwoord | /pɔːz/ | pauze |
| denominator zelfstandig naamwoord | /dɪˈnɒmɪneɪtə(ɹ)/ | noemer |
| multiplication zelfstandig naamwoord | /ˌmʌltɪplɪˈkeɪʃən/ | vermenigvuldiging |
| numerator zelfstandig naamwoord | /ˈnuː.məɹˌeɪ̯.təɹ/ | teller |
| rewrite werkwoord | /ɹiˈɹaɪt/ | herschrijven |
| improper bijvoeglijk naamwoord | /ɪmˈpɹɑ.pɚ/ | ongepast |
Phrasal verbs die je zult horen
| Woord | Betekenis |
|---|---|
| break down werkwoord | stukgaan, kapot gaan |
| check out werkwoord | onderzoeken |
| turn out werkwoord | uitvallen, resulteren |
Zinnen om te herhalen
Korte, volledige zinnen uit de video die je in alledaagse gesprekken kunt gebruiken:
- 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?
Grammatica in deze video
De structuren die de spreker het meest gebruikt, met de exacte woorden uit de video:
| Structuur | In de video |
|---|---|
| Vergrotende trap -er than / more … than — twee dingen vergelijken | further than · easier than |
| Toekomst met “going to” be going to + werkwoord — een plan of iets dat je ziet aankomen | we're going to focus · we're going to multiply · is going to be |
| Verplichting: must / have to / need to zeggen dat iets nodig is | need to do · need to multiply · have to simplify |
Uitspraak om op te letten
De spreker gebruikt 19 samentrekkingen en verkorte vormen, zoals gonna, we're, can't. Spreek ze kort uit, zoals je ze hoort.
- De klanken “sh” en “zh”: fraction /ˈfɹæk.ʃən/, multiplication /ˌmʌltɪplɪˈkeɪʃən/
- Lange woorden — let op de klemtoon: divisible [dɪˈvɪzɪbəɫ], denominator /dɪˈnɒmɪneɪtə(ɹ)/, multiplication /ˌmʌltɪplɪˈkeɪʃən/, numerator /ˈnuː.məɹˌeɪ̯.təɹ/
Klanken die Nederlandstaligen lastig vinden:
- Stemhebbende eindmedeklinker — /b/, /d/, /g/, /z/, /v/ niet verscherpen: divide /dɪˈvaɪd/, pause /pɔːz/
- /æ/ — opener dan de Nederlandse “e”: cancel /ˈkæn.sl̩/, fraction /ˈfɹæk.ʃən/
Zo oefen je met deze video
- Luister de hele video één keer zonder te spreken en noteer de woorden die je niet kent.
- Spreek zin voor zin na op normale snelheid en herhaal elke zin tot je ritme gelijk is aan dat van de spreker.
- Neem jezelf op en vergelijk met het origineel; let daarbij op woorden als multiply, cancel, fraction.
Wat is de Shadowing-techniek?
Shadowing is een wetenschappelijk onderbouwde taalleermethode die oorspronkelijk is ontwikkeld voor professionele tolkentraining en gepopulariseerd door polyglot Dr. Alexander Arguelles. De methode is eenvoudig maar krachtig: je luistert naar native Engelse audio en herhaalt het onmiddellijk hardop — als een schaduw die de spreker volgt met slechts 1–2 seconden vertraging. In tegenstelling tot passief luisteren of grammaticadrills, dwingt shadowing je hersenen en mondspieren om echte spraakpatronen tegelijkertijd te verwerken en te reproduceren. Onderzoek toont aan dat het de uitspraaknauwkeurigheid, intonatie, ritme, verbonden spraak, luisterbegrip en spreekvaardigheid aanzienlijk verbetert — waardoor het een van de meest effectieve methoden is voor IELTS Speaking-voorbereiding en echte Engelse communicatie.