Shadowing Practice: Subtracting Fractions - Learn English Speaking with Video

In this lesson, we're going to focus on how to subtract two or three fractions.

So let's start with this example.

3 over 5 minus 1 over 2.

How can we subtract those two fractions?

The first thing we need to do is multiply the two denominators of the fractions.

5 times 2 is 10.

And then we need to cross multiply.

3 times 2 is 6.

5 times negative 1 is negative 5.

So now we need to subtract 6 and 5, which will give us 1.

So the final answer is 1 over 10.

So that is the solution to this problem.

Now let's work on another one.

So let's subtract 4 over 3 by 3 over 4.

And let's use the same technique.

So first, let's multiply the two denominators of the fractions.

3 times 4 is 12. And then cross multiply.

4 times 4 is 16.

3 times negative 3 is negative 9.

Now, 16 minus 9 is 7.

So the answer is going to be 7 divided by 12.

So now it's your turn.

Go ahead and subtract these two fractions.

3 over 8 minus 1 over 7 and also 5 over 7 minus 2 over 5.

So starting with the first example, let's multiply 8 by 7.

So 8 times 7 is 56.

and then let's cross multiply.

3 times 7 is 21 and 8 times negative 1 is negative 8.

So now we need to subtract.

21 minus 8 is 13.

So the answer to the first problem is going to be 13 over 56.

Now for the next example let's multiply 5, I mean 7 and 5.

7 times 5 is 35 5 times 5 is 25 and then we have 7 times 2 which is 14

so now let's subtract 25 and 14 25 minus 14 is 11

and so this is going to be 11 over 35 by the way I'm going to post some links

in the description section of this video where you can find more of my videos on fractions, like how to multiply fractions and how to divide them as well and some other stuff too.

But before we go into subtracting three fractions, let's talk about another method in which we can subtract two fractions.

So in the previous method we would multiply 9 and 4

and that will give us 36 and then we would cross multiply.

5 times 4 is 20 and then 9 times 1 is 9

but 9 times 1 is negative 9 so it's gonna be 20 minus 9

which is 11 and so this will give us 11 over 36 now another way in

which you can do the same problem

and get the same results is to get the common denominators first before combining the two fractions 9 times 4 is 36.

So to get a common denominator of 36, we need to multiply the first fraction by 4 over 4, and the second one by 9 over 9.

4 times 5 is 20, 4 times 9 is 36.

And so we're going to get this.

So now that these two are the same, we can combine the numerators of the two fractions.

So 20 minus 9 is 11.

And so we're going to get the same answer, 11 over 36.

Now, this technique is useful if you have multiple fractions.

Let's say if you want to subtract 3 or 4 fractions, you could do that.

So let's say if we have 8 over 9 minus 1 over 3 minus 2 over 5.

So we'll need to find a common denominator of those three fractions So what is the least common multiple of 9, 3, and 5?

3 already goes into 9 So any multiple of 9 is a multiple of 3

So we don't really need to worry about this So what is the common multiple between 9 and 5?

Well, 9 times 5 is 45 So 45 is the lowest number that can go into 9,

3, and 5 Now 45 divided by 9 is 5 So I'm going to multiply this fraction by 5 over 5

Now 45 divided by 3 is 15 So I'm going to multiply the second fraction by 15 over 15.

And 45 divided by 5 is 9.

So I'm going to multiply the last fraction by 9 over 9.

5 times 8 is 40.

5 times 9 is 45.

15 times 1 is 15, 15 times 3 is 45, 2 times 9 is 18, 5 times 9 is 45.

And now we need to subtract.

So 40 minus 15 is 25, and 25 minus 18 is 7.

So this is going to be 7 over 45. And that's the answer.

Let's try another example.

9 over 10 minus 1 over 5 minus 2 over 7.

Feel free to pause the video and work on that example.

So let's get a common denominator between 10, 5, and 7.

So 5 goes into 10, so we don't have to worry about the 5.

Any multiple of 10 is going to be a multiple of 5.

So multiples of 10 are 10, 20, 30, 40, all the way to 70.

Multiples of 7 are 7, 14, 21, 28, all the way to 70.

If you multiply 10 and 7, you're going to get a common multiple between 10 and 7, which is 70.

So it turns out that 70 is the common denominator that we want to get to.

70 divided by 10 is 7.

So let's multiply the first fraction by 7 over 7.

70 divided by 5.

Let's see what that is.

So let's use long division.

5 goes into 7 one time.

5 times 1 is 5.

And then subtract.

7 minus 5 is 2.

Bring that into 0.

5 goes into 24 times.

So 70 divided by 5 is 14.

So we need to multiply this fraction by 14 over 14.

70 divided by 7 is 10.

So we're going to multiply the last fraction by 10 over 10.

7 times 9 is 63.

And we know 7 times 10 is 70.

And 5 times 14 is 70.

And 2 times 10 is 20. So now let's subtract.

63 minus 14.

That's 49.

And 49 minus 20 is 29.

100

So the final answer for this problem is 29 divided by 70.

101

Let's work on one last example.

102

3 over 4 minus 1 over 2 plus 5 over 3 minus 2 over 5.

103

Go ahead and try that example.

104

So what is a common multiple between 2, 3, 4, and 5?

105

Well, we don't have to worry about the 2 because 2 goes into 4.

106

So all we need to do is multiply 4 times 3 times 5, which is 60.

107

And so 60 is going to be the common denominator that we need to get to.

108

60 divided by 4 is 15.

109

So we're going to multiply this fraction by 15 over 15.

110

60 divided by 2 is 30, so we're going to multiply the second fraction by 30 over 30.

111

And 60 divided by 3 is 20, so let's multiply this fraction by 20 over 20.

112

And finally, 60 divided by 5 is 12.

113

Now let's multiply.

114

15 times 3 is 45, and we know 15 times 4 is 60.

115

1 times 30 is 30, and 2 times 30 is 60.

116

5 times 20 is 100.

117

320 is 60.

118

2 times 12 is 24, and 5 times 12 is 60.

119

So now we'll need to subtract So first let's subtract these two numbers 45 minus 30 is 15

120

So we have 15 over 60 And then let's subtract these two 100 minus 24

121

100 minus 20 is 80 80 minus 4 is 76 So now we need to add 15 and 76

122

15 plus 76 is going to be 91 and so

123

that is the final answer it's a 91 over 60

124

so that's all i got for this video be sure to

125

check out my next video on multiplying fractions thanks for watching

📺 Mismo canal

Multiplying Fractions - The Easy Way!

High School StudentsUniversity Students

Adding Fractions With Unlike Denominators

High School StudentsUniversity Students

First Law of Thermodynamics, Basic Introduction - Internal Energy, Heat and Work - Chemistry

IELTS PrepTOEFL PrepCambridge Exam Prep

✨ Recomendar Video

62 oraciones

Vocabulario y notas de pronunciación para esta lección

Esta lección de conversación de nivel B1 se basa en el vídeo “Subtracting Fractions”. Las palabras que más se repiten: fraction, multiply, minus, subtract, divided. Este vídeo tiene 125 frases y 1005 palabras para practicar shadowing. La parte hablada dura 10:58. El hablante habla despacio, unas 92 palabras por minuto, así que hay tiempo para imitar cada sonido. El 87 % de las palabras está entre las 3.000 más comunes del inglés, por lo que el vocabulario es fácil de seguir.

Vocabulario clave de este vídeo

Las 15 palabras más avanzadas del vídeo, con su pronunciación y significado:

Palabra	Pronunciación	Significado
fraction sustantivo	/ˈfɹæk.ʃən/	fracción
minus	/ˈmaɪ.nəs/	menos
divide verbo	/dɪˈvaɪd/	desunir, dividir
technique sustantivo	/tɛkˈniːk/	técnica
combine verbo	/kəmˈbaɪn/	combinar, juntar
lesson sustantivo	/ˈlɛs.ən/	lección
pause sustantivo	/pɔːz/	pausa
multiply verbo	/ˈmʌltɪplaɪ/	multiplicar, amochiguar
subtract verbo	/səbˈtɹækt/	restar, sustraer
denominator sustantivo	/dɪˈnɒmɪneɪtə(ɹ)/	denominador
numerator sustantivo	/ˈnuː.məɹˌeɪ̯.təɹ/	numerador
multiple adjetivo	/ˈmʌltɪpəl/	múltiple
negative adjetivo	/ˈnɛɡ.ə.tɪv/	negativo
cross sustantivo	/kɹɑs/	cruz
worry verbo	/ˈwʌ.ɹi/	preocuparse, estar preocupado

Phrasal verbs que vas a escuchar

Palabra	Pronunciación	Significado
go ahead verbo	/ˌɡoʊ əˈhɛd/	venga, adelante
check out verbo		investigar, chequear
turn out verbo		resultar

Frases que vale la pena repetir

Frases cortas y completas del vídeo que puedes reutilizar en la conversación diaria:

How can we subtract those two fractions?
Let's see what that is.
Let's work on one last example.

Gramática en este vídeo

Las estructuras que más usa el hablante, con las palabras exactas del vídeo:

Estructura	En el vídeo
Superlativos the -est / the most … — lo más alto o lo más bajo de un grupo	the least common · the lowest
Futuro con “going to” be going to + verbo — un plan o algo que se ve venir	we're going to focus · is going to be · gonna be
Obligación: must / have to / need to decir que algo es necesario	need to do · need to cross · need to subtract
Futuro con “will” will + verbo — una decisión, una promesa o una predicción	will give · we'll need

Pronunciación a tener en cuenta

El hablante usa 17 contracciones y formas reducidas, como we're, I'm, don't. Dilas en su forma corta, tal como las oyes.

Los sonidos de “sh” y “zh”: fraction /ˈfɹæk.ʃən/, section /ˈsɛkʃən/, division /dɪˈvɪʒn̩/, solution /səˈl(j)uːʃən/, description /dɪˈskɹɪpʃən/
Palabras largas — cuida el acento: denominator /dɪˈnɒmɪneɪtə(ɹ)/, numerator /ˈnuː.məɹˌeɪ̯.təɹ/

Sonidos difíciles para hispanohablantes:

/v/ — no es /b/: los dientes tocan el labio inferior: divide /dɪˈvaɪd/, negative /ˈnɛɡ.ə.tɪv/, previous /ˈpɹi.vi.əs/, division /dɪˈvɪʒn̩/

Cómo practicar con este vídeo

Escucha el vídeo entero una vez sin hablar y anota las palabras que no conoces.
Haz shadowing frase por frase a velocidad normal, repitiendo cada una hasta que tu ritmo coincida con el del hablante.
Grábate y compara con el original, prestando atención a palabras como fraction, minus, divide.

¿Qué es la Técnica de Shadowing?

Shadowing es una técnica de aprendizaje de idiomas respaldada por la ciencia, desarrollada originalmente para la formación de intérpretes profesionales y popularizada por el políglota Dr. Alexander Arguelles. El método es simple pero poderoso: escuchas audio en inglés nativo y lo repites en voz alta de inmediato, como una sombra que sigue al hablante con solo 1-2 segundos de retraso. A diferencia de la escucha pasiva o los ejercicios de gramática, el shadowing obliga a tu cerebro y músculos de la boca a procesar y reproducir simultáneamente patrones de habla reales. Las investigaciones muestran que mejora significativamente la precisión de la pronunciación, la entonación, el ritmo, el habla conectada, la comprensión auditiva y la fluidez al hablar, convirtiéndola en una de las metodologías más efectivas para la preparación del IELTS Speaking y la comunicación en inglés en el mundo real.

Técnica de shadowing: lee la guía completa paso a paso →

Shadowing Practice: Subtracting Fractions - Learn English Speaking with Video

Simplifying Fractions

Multiplying Fractions - The Easy Way!

Fractions

Adding Fractions With Unlike Denominators

First Law of Thermodynamics, Basic Introduction - Internal Energy, Heat and Work - Chemistry

B1 English Listening Practice - Tipping

Math Antics - Negative Numbers

Elements | Middle school chemistry | Khan Academy

Fractions Made EASY!

Seperating Solutions – Evaporation #shorts

English Homophones - To, Two, Too?

Cắt bánh - bài toán gây đau đầu nhiều thế kỷ

Water Pollution and How We Can Reduce It!

A TRUE beginners guide to makeup

Science in English #6 | Types of Mixtures