Prática de Shadowing: Adding Fractions With Unlike Denominators - Aprenda a falar inglês com vídeo

In this video, we're going to talk about how to add two fractions.

So let's start with this example.

2 over 3 plus 3 over 4.

So how can we add these two fractions?

The first thing you can do is multiply the denominators of the fractions.

3 times 4 is 12. And then cross multiply.

2 times 4 is 8, and then multiply 3 times 3, and that will give you 9.

And then you could add 8 and 9.

8 plus 9 is 17.

So we get the answer 17 over 12.

And so this is our answer as an improper fraction.

Now, let's try another example.

So let's add 5 over 3 plus 1 over 2.

So let's follow the same technique.

3 times 2 is 6. And then cross multiply.

5 times 2 is 10.

3 times 1 is 3.

And then we're going to add 10 plus 3.

So 10 plus 3 is 13.

So the answer is 13 over 6. by the way

if you want more videos on fractions let's say how to subtract fractions how to multiply

or divide fractions check out the description section of this video i'm going to post some links there

that you might find useful

but now let's get back to this video let's work on another problem

so now it's your turn go ahead and add the following fractions 2 over 5 plus 1 over 4

And also try this example, 3 over 7 plus 5 over 9.

Feel free to pause the video and try those examples.

So let's start with the first one.

So first we're going to multiply 5 and 4.

5 times 4 is 20. And then cross multiply.

2 times 4 is 8.

5 times 1 is 5.

And now we can add 8 plus 5 is 13.

So the answer is 13 over 20.

Now let's try the example below.

So let's multiply 7 by 9.

7 times 9 is 63. And then cross multiply.

3 times 9 is 27.

And 7 times 5 is 35.

So now we'll need to add 27 and 35.

So you can use a calculator or you can do it the old-fashioned way.

Let's do it the old-fashioned way.

5 plus 7 is 12, so we need to write the 2, carry over the 1.

And then 3 plus 2 plus 1 is 6.

So 27 plus 35 is 62.

So the final answer for that example is 62 divided by 63.

So at this point, you know how to add 2 fractions.

But what if you need to add, let's say, 3 fractions?

What should you do?

So before we go into this example, I want to show you another example of adding 2 fractions but using a different method.

So let's start with this problem, 3 over 8 plus 5 over 7.

So let's begin by using the method that you're familiar with

and then we'll use a new method to get the same answer.

So what we did before is multiply the two denominators of the fractions.

8 times 7 is 56.

And then we would cross multiply.

3 times 7 is 21.

And 8 times 5 is 40.

And then we would add 21 plus 40 is 61.

So our answer for this example would be 61 over 56.

Now here's another method which is useful if you're adding multiple fractions.

So what you want to do is get a common denominator of 56.

In order to do so, the fraction on the left you need to multiply the top and the bottom by 7.

And for the fraction on the right, multiply the top and the bottom by 8.

So this would give you a common denominator of 56.

So 3 times 7 is 21, and 7 times 8 is 56.

5 times 8 is 40, and on the bottom, 7 times 8 is 56.

Now whenever you're adding two fractions, if the denominator is the same, then you're allowed to add the numerators of the two fractions.

So 21 plus 40 is 61.

And thus, we're going to get the same answer of 61 over 56.

This technique works if you're adding, let's say, three fractions or even four fractions.

Now, let's try this example.

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

So the first thing we need to do is identify a common denominator that we need to get to.

So we need to find the least common multiple of 5, 4, and 3.

How can we do so?

Well, a simple way is to multiply 5 times 4 times 3.

You could use any common multiple.

It doesn't really have to be the least common multiple.

But if you could find the least common multiple, then it's going to be easier.

But let's keep it simple.

so 5 times 4 times 3

5 times 4 is 20 20 times 3 is 60 so 60 is a common multiple of 5, 4, and 3 it might even be the least common multiple

and I think it is so what I'm going to do now is take 60 and divide it by 5

60 divided by 5 is 12 so therefore I'm going to multiply the second fraction, I mean the first fraction, by 12.

So that will give me a common denominator of 60.

Now 60 divided by 4 is 15.

So I need to multiply the second fraction, the top and the bottom, by 15.

Whatever you multiply the bottom of a fraction by, you need to do so also to the top.

Now 60 divided by 3 is 20.

So I'm going to multiply the third fraction by 20 over 20.

12 times 2 is 24 and we know that 12 times 5 is 60.

15 times 3 is 45 and 15 times 4 is 60.

20 times 1 is 20.

20 times 3 is 60.

So notice that we have a common denominator of 60.

So now all we need to do is add up the three numerators.

So let's find a sum of 45, 24, and 20.

5 plus 4 is 9.

100

4 plus 2 plus 2 is 8.

101

So 24 plus 45 plus 20 is 89.

102

So our answer for this problem is 89 over 60.

103

So that's how you can add three fractions together.

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Now let's try another example.

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So now it's your turn.

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Go ahead and add 1 over 4 plus 5 over 6 plus 1 over 2.

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So let's identify the least common multiple of 4, 6, and 2.

108

Multiples of 6 are 6, 12, 18, 24, and so forth.

109

Multiples of 4 are 4, 8, 12, 16, 20.

110

Multiples of 2 are 2, 4, 6, 8, 10, 12, 14.

111

So which of these are the least common multiple of 2, 4, and 6?

112

Notice that 12 is the lowest common number or lowest common multiple of 2, 4, and 6.

113

So therefore, 12 is the least common multiple.

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Now, 12 divided by 4 is 3.

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So I'm going to multiply this fraction by 3 over 3.

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And 12 divided by 6 is 2.

117

So I'm going to multiply this second fraction by 2 over 2.

118

And 12 divided by 2 is 6.

119

So I'm going to multiply this fraction.

120

Let's change that color. By 6 over 6.

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So I'm going to get 3 over 12 plus 2 times 5 is 10.

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2 times 6 is 12.

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and then 6 times 1 is 6, 6 times 2 is 12.

124

So now we need to add.

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3 plus 10 is 13.

126

13 plus 6 is 19.

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So the final answer is 19 over 12.

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So that is it for this video.

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Be sure to check out my next video on subtracting fractions.

130

I'm going to post some links in the description section of this video, so feel free to take a look at that.

131

Thank you.

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Como adicionar frações com denominadores diferentes: um cenário prático

Imagine que você está ajudando um amigo a resolver um problema de matemática ou precisa calcular uma receita que exige somar ingredientes em frações. Nesse caso, saber adicionar frações com denominadores diferentes é essencial! O vídeo que analisamos explica esse processo de forma clara, usando exemplos reais como 2/3 + 3/4 ou 5/3 + 1/2, e até mesmo como lidar com três frações. Essa situação cotidiana é perfeita para praticar shadow speech, uma técnica poderosa para melhorar a pronúncia em inglês e a fluência.

Trechos úteis e colocações para memorizar

"multiply the denominators" (multiplicar os denominadores) – uma expressão chave no processo de adição de frações.
"cross multiply" (multiplicar cruzado) – essencial para transformar as frações em um denominador comum.
"improper fraction" (fração imprópria) – termo importante para descrever resultados como 17/12.
"carry over the 1" (levar o 1) – útil ao somar números grandes, como no exemplo de 27 + 35.
"old-fashioned way" (maneira tradicional) – uma expressão coloquial para se referir a métodos sem tecnologia.

Seu desafio de shadowing: pratique agora mesmo!

Quer melhorar a pronúncia em inglês e a fluência rapidamente? Faça o shadowing em inglês com o trecho do vídeo! Siga estes passos: 1) Escute um trecho curto (30 segundos) do vídeo. 2) Repita imediatamente após, copiando a entonação, a velocidade e a pronúncia. 3) Repita 3 vezes até sentir que está fluido. Use um shadowing site para gravar sua voz e comparar com o original – isso ajuda a identificar pontos a melhorar. Essa técnica, conhecida como shadowspeaks, é uma das mais eficazes para ganhar confiança na fala. Comece agora com o exemplo "So let's start with this example. 2 over 3 plus 3 over 4" e veja como sua pronúncia melhora em minutos!

Lembre: pequenos passos levam a grandes resultados. Ao combinar a prática de shadowing com o aprendizado de conceitos matemáticos, você não só aprende inglês como desenvolve habilidades práticas. Continue praticando e veja sua progressão!

Gramática neste vídeo

As estruturas que o falante mais usa, com as palavras exatas do vídeo:

Estrutura	No vídeo
Superlativos the -est / the most … — o maior ou o menor de um grupo	the least common · the lowest
Possibilidade com “might / may” might/may + verbo — algo possível, mas não certo	might find · might even be
Futuro com “going to” be going to + verbo — um plano ou algo que dá para prever	we're going to talk · we're going to add · i'm going to post
Obrigação: must / have to / need to dizer que algo é necessário	need to add · need to write · need to multiply

O que é a Técnica de Shadowing?

Shadowing é uma técnica de aprendizado de idiomas com base científica, originalmente desenvolvida para o treinamento de intérpretes profissionais. O método é simples, mas poderoso: você ouve áudio em inglês nativo e repete imediatamente em voz alta — como uma sombra seguindo o falante com 1-2 segundos de atraso. Pesquisas mostram melhora significativa na precisão da pronúncia, entonação, ritmo, sons conectados, compreensão auditiva e fluência na fala.

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Como adicionar frações com denominadores diferentes: um cenário prático

Trechos úteis e colocações para memorizar

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O que é a Técnica de Shadowing?