शैडोइंग अभ्यास: Adding Fractions With Unlike Denominators - वीडियो के साथ अंग्रेजी बोलना सीखें

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.

104

Now let's try another example.

105

So now it's your turn.

106

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

107

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.

114

Now, 12 divided by 4 is 3.

115

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

116

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.

121

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

122

2 times 6 is 12.

123

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

124

So now we need to add.

125

3 plus 10 is 13.

126

13 plus 6 is 19.

127

So the final answer is 19 over 12.

128

So that is it for this video.

129

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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Mastering English Through Fraction Addition: Context & Practice

The video focuses on teaching how to add fractions with unlike denominators, using clear examples and step-by-step explanations. It’s a great resource for learners looking to combine math skills with English practice, as the dialogue is slow, structured, and full of repeatable phrases—perfect for shadowing.

Top 5 Phrases for Daily Communication

"So how can we add these two fractions?" – A common way to ask for clarification or steps.
"Let's follow the same technique." – Useful for indicating a repeat process.
"Feel free to pause the video and try those examples." – Polite invitation to engage actively.
"Now let's try the example below." – Transitions smoothly to new content.
"What should you do?" – Encourages critical thinking in conversations.

Step-by-Step Shadowing Guide

To improve English pronunciation using this video, try the shadowing technique: 1. Listen to a 5-second clip (e.g., "In this video, we're going to talk about how to add two fractions"). 2. Pause and repeat immediately, mimicking the speaker’s tone and pace. 3. Focus on linking words like "so" and "and" to sound natural. For tricky phrases, use a shadowing app to slow down the audio. For the math examples, practice saying "3 times 4 is 12" or "8 plus 9 is 17" aloud—these structured sentences build fluency. Shadowspeak, or speaking in sync with the video, helps train your mouth to form English sounds correctly. Repeat the section where the speaker adds 27 and 35 ("5 plus 7 is 12...") to master number pronunciation. Consistency is key—spend 10 minutes daily with this video, and you’ll notice better pronunciation and confidence in both English and math terms.

इस वीडियो का व्याकरण

वक्ता जिन संरचनाओं का सबसे अधिक प्रयोग करता है, वीडियो के असली शब्दों के साथ:

संरचना	वीडियो में
Superlatives the -est / the most … — समूह में सबसे ऊपर या नीचे	the least common · the lowest
“might / may” से संभावना might/may + क्रिया — जो हो सकता है पर पक्का नहीं	might find · might even be
“going to” से भविष्य be going to + क्रिया — योजना या जो साफ़ होने वाला है	we're going to talk · we're going to add · i'm going to post
ज़रूरत: must / have to / need to बताना कि कोई काम ज़रूरी है	need to add · need to write · need to multiply

शैडोइंग तकनीक क्या है?

शैडोइंग (Shadowing) एक विज्ञान-समर्थित भाषा सीखने की तकनीक है जो मूल रूप से पेशेवर दुभाषिया प्रशिक्षण के लिए विकसित की गई थी। विधि सरल लेकिन शक्तिशाली है: आप मूल अंग्रेज़ी ऑडियो सुनते हैं और तुरंत इसे ज़ोर से दोहराते हैं — जैसे वक्ता की छाया 1-2 सेकंड की देरी से। शोध से पता चलता है कि यह उच्चारण सटीकता, स्वर, लय, जुड़ी हुई ध्वनियाँ, सुनने की समझ और बोलने की प्रवाहशीलता में काफ़ी सुधार करता है।

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