शैडोइंग अभ्यास: Subtracting Fractions - वीडियो के साथ अंग्रेजी बोलना सीखें

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

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✨ अनुशंसित वीडियो

62 वाक्य

इस पाठ की शब्दावली और बोलने के सुझाव

यह B1 स्तर का स्पीकिंग पाठ वीडियो “Subtracting Fractions” पर आधारित है। सबसे ज़्यादा दोहराए गए शब्द ये हैं: fraction, multiply, minus, subtract, divided। इस वीडियो में शैडोइंग के लिए 125 वाक्य और 1005 शब्द हैं। बोला गया हिस्सा 10:58 लंबा है। वक्ता धीरे बोलता है, लगभग 92 शब्द प्रति मिनट, इसलिए हर ध्वनि की नकल करने का समय मिलता है। 87% शब्द अंग्रेज़ी के 3,000 सबसे आम शब्दों में से हैं, इसलिए शब्दावली आसान है।

इस वीडियो की मुख्य शब्दावली

वीडियो के 15 सबसे कठिन शब्द, उच्चारण और अर्थ के साथ:

शब्द	उच्चारण	अर्थ
fraction संज्ञा	/ˈfɹæk.ʃən/	अंश
minus	/ˈmaɪ.nəs/	कम, घटाकर
divide क्रिया	/dɪˈvaɪd/	बांटना
technique संज्ञा	/tɛkˈniːk/	तकनीक
combine क्रिया	/kəmˈbaɪn/	मिलाना
lesson संज्ञा	/ˈlɛs.ən/	पाठ, सबक़
multiply क्रिया	/ˈmʌltɪplaɪ/	गुणा करना
negative विशेषण	/ˈnɛɡ.ə.tɪv/	नकारात्मक
cross संज्ञा	/kɹɑs/	क्रूस, सलीब
method संज्ञा	/ˈmɛθəd/	विधि, तरीक़ा
previous विशेषण	/ˈpɹi.vi.əs/	पिछला
section संज्ञा	/ˈsɛkʃən/	भाग, खंड
link संज्ञा	/ˈlɪŋk/	लिंक
division संज्ञा	/dɪˈvɪʒn̩/	विभाजन, बँटवारा
solution संज्ञा	/səˈl(j)uːʃən/	विलयन, घोल

वीडियो में आने वाली फ़्रेज़ल वर्ब

शब्द	उच्चारण	अर्थ
go ahead क्रिया	/ˌɡoʊ əˈhɛd/	आगे बढ़ना

दोहराने लायक वाक्य

वीडियो के छोटे, पूरे वाक्य जिन्हें आप रोज़ की बातचीत में इस्तेमाल कर सकते हैं:

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

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
“going to” से भविष्य be going to + क्रिया — योजना या जो साफ़ होने वाला है	we're going to focus · is going to be · gonna be
ज़रूरत: must / have to / need to बताना कि कोई काम ज़रूरी है	need to do · need to cross · need to subtract
“will” से भविष्य will + क्रिया — फ़ैसला, वादा या अनुमान	will give · we'll need

ध्यान देने योग्य उच्चारण

वक्ता 17 बार संक्षिप्त रूपों का प्रयोग करता है, जैसे we're, I'm, don't। इन्हें वैसे ही छोटा बोलें जैसा आप सुनते हैं।

“sh” और “zh” की ध्वनियाँ: fraction /ˈfɹæk.ʃən/, section /ˈsɛkʃən/, division /dɪˈvɪʒn̩/, solution /səˈl(j)uːʃən/, description /dɪˈskɹɪpʃən/
लंबे शब्द — बलाघात सही रखें: denominator /dɪˈnɒmɪneɪtə(ɹ)/, numerator /ˈnuː.məɹˌeɪ̯.təɹ/

हिंदी भाषियों के लिए मुश्किल ध्वनियाँ:

/v/ और /w/ का फ़र्क़ — /v/ में ऊपर के दाँत निचले होंठ को छूते हैं, /w/ में होंठ गोल होते हैं: divide /dɪˈvaɪd/, negative /ˈnɛɡ.ə.tɪv/, worry /ˈwʌ.ɹi/, previous /ˈpɹi.vi.əs/, division /dɪˈvɪʒn̩/
/æ/ — “ऐ” से ज़्यादा खुला: fraction /ˈfɹæk.ʃən/, subtract /səbˈtɹækt/

इस वीडियो से अभ्यास कैसे करें

पहले बिना बोले पूरा वीडियो एक बार सुनें और जो शब्द नहीं आते उन्हें लिख लें।
सामान्य गति पर एक-एक वाक्य की शैडोइंग करें और हर वाक्य तब तक दोहराएँ जब तक आपकी लय वक्ता से न मिल जाए।
अपनी आवाज़ रिकॉर्ड करें और मूल से तुलना करें, ख़ासकर fraction, minus, divide जैसे शब्दों पर ध्यान दें।

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।

शैडोइंग तकनीक: पूरी चरण-दर-चरण गाइड पढ़ें →

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