Multiplication of Fraction | Concept Clarification | Solve within Seconds| Very Interesting
Vložit
- čas přidán 12. 09. 2024
- Multiplication of Fraction | Concept Clarification | Solve within Seconds| Very Interesting
One must watch this Lecture.This video Helps you to Clear your doubts / Concept in Multiplication of Fraction with Fractions
Welcome to Nand Kishore Classes
For 8th, 9th & 10th (Mathematics)
New Batches start w.e.f. 1st April 2021 (Online)
To Fill the Registration Form, Click at below Link
forms.gle/FFRP...
Click at below links to download the PDFs containing CZcams Links
1. Basic Math
nandkishoreclas...
2. Shortcut Tricks & Reasoning
nandkishoreclas...
3. Kids Activities
nandkishoreclas...
4. Class 4th
nandkishoreclas...
5. Class 5th
nandkishoreclas...
6. Class 8th
nandkishoreclas...
7. Class 9th
nandkishoreclas...
8. Class 10th
nandkishoreclas...
9. Class 11th
nandkishoreclas...
10. Class 12th
nandkishoreclas...
On this page, we will learn more about the Multiplication of by Fractions
To add or subtract fractions:
You must have a common denominator.
To find the Least Common Denominator (LCD),
take the least common multiple of the individual denominators.
Express each fraction as a new fraction with the common denominator,
by multiplying by one in an appropriate form.
To add fractions with the same denominator:
add the numerators, and keep the denominator the same.
That is, use the rule:
A
C
+
B
C
=
A
+
B
C
Question:
Combine into a single fraction:
2
x
+
3
−
3
x
x
−
1
Solution:
Note that the LCD is
(
x
+
3
)
(
x
−
1
)
.
2
x
+
3
−
3
x
x
−
1
(original expression)
=
2
x
+
3
⋅
x
−
1
x
−
1
−
3
x
x
−
1
⋅
x
+
3
x
+
3
(get a common denominator by multiplying by
1
)
=
2
(
x
−
1
)
−
3
x
(
x
+
3
)
(
x
+
3
)
(
x
−
1
)
(keep the denominator the same; add the numerators)
=
2
x
−
2
−
3
x
2
−
9
x
(
x
+
3
)
(
x
−
1
)
(multiply out the numerator)
=
−
3
x
2
−
7
x
−
2
(
x
+
3
)
(
x
−
1
)
(combine like terms; write numerator in standard form)
To add fractions with different denominators, we must learn how to construct the Lowest Common Multiple of a series of terms.
The Lowest Common Multiple (LCM) of a series of terms
is the smallest product that contains every factor of each term.
For example, consider this series of three terms:
pq pr ps
We will now construct their LCM -- factor by factor.
To begin, it will have the factors of the first term:
LCM = pq
Moving on to the second term, the LCM must have the factors pr. But it already has the factor p -- therefore, we need add only the factor r:
LCM = pqr
Finally, moving on to the last term, the LCM must contain the factors ps. But again it has the factor p, so we need add only the factor s:
LCM = pqrs.
That product is the Lowest Common Multiple of pq, pr, ps. It is the smallest product that contains each of them as factors.
Example 3. Construct the LCM of these three terms: x, x2, x3.
Solution. The LCM must have the factor x.
LCM = x
But it also must have the factors of x2 -- which are x ·x. Therefore, we must add one more factor of x :
LCM = x2
Finally, the LCM must have the factors of x3, which are x· x· x. Therefore,
LCM = x3.
x3 is the smallest product that contains x, x2, and x3 as factors.
We see that when the terms are powers of a variable -- x, x2, x3 -- then their LCM is the highest power.
Problem 2. Construct the LCM of each series of terms.
a) ab, bc, cd. abcd b) pqr, qrs, rst. pqrst
c) a, a2, a3, a4. a4 d) a2b, ab2. a2b2
e) ab, cd. abcd
We will now see what this has to do with adding fraction
Welcome to Nand Kishore Classes
Facebook Page -
/ nandkishorec...
CZcams Channel -
/ nandkishore...
Instagram -
/ nandkishore...
Twitter -
/ nandkisoreclasses
Website
nandkishoreclas...
Amazing lecture, thank you for sharing
Welcome
A superb teaching methodology.
Thanks
Ha
may Allah bless You.I was feeling ashamed till now , inspite of good Knowledge of other Subject with Pg yet I did not know basics of math . I sought lot of Channels but Could not find any one Suitable for me.I Got you 100%.My maths Should go right definitely I will reward You Sir
❤❤❤😊
Very❤food❤ 2:46
THKYOU
Thanquu sr .Really nice way of teaching
Thanks
Sir you are the best teacher
Thanks sir
The best video
you are best teacher and youtuber🎉🎉🎉😊😊 5:28
Thx
सर आपकी बताइए सवाल बहुत जल्दी समझ में आ जाते हैं और मैं बच्चों को भी समझा देखती हूं इसके लिए धन्यवाद
Thankyou sir
Welcome
Thank you so much sir 🙏🏻
Thanku sir 😊
Welcome
Thanks sir ❤
Sir AAP bohot achha padhate hai thanks a lot ❤
Thanks
Sir blue print agya kya class 10 ka 2024
Excellent sir
Sir aap aisae he basic maths exponents fractions decimal point shift par bana dana
❤😊
Thank you🌹🌹 sir
❤❤ awesome 💯/💯 honestly 👍🙏🙏🥰 thank u so much dear sir 🙏...
Thanks
Yhx for teaching us❤
Thank you 🙏
Very intersecting
Sir you are great
Thank you sir 😊
welcome
Thank you sir
Best lecture helped me alot❤
Thanks
Yes sir. 6:42 😊
बहुत बढ़िया धन्यवाद सर
Thank you so much sir I think it is so hard but it is easy so thank you so much 🙏🙏
Thanks for help me
Thank you
Nice Sir
Thanks
Yes
Wao very easy mathod
Thanks
👏👏
Thanks
Sir you explain it easily
Boht ache se smjh ay
Good
Sir thank you for my clear cofusion because I am very weak in math 😊
God bless you
Thank you sir ❤🙏
Thanku sir
bundal of tnx sir❤
Welcome
Why don't fractions multiplication by diagram or figures
🙏
Thanks
Qcf
😅😅
Wow
First comment
Thanks
Please send
Kaif
Thanks sir me papar mein pass ho
Add fraction. Sir please 🥺
Sir without calculator ka ÷ karna seka do nahi ata muje ye
सैटरडे समझाइए भाषा थोड़ी
Search 1632 Kahan se aay
thankyousir
Very interesting 😂
Thanks
Today is my final exam
All the best
😢😢
Sar comment dekhen
Shar. Hamko ko nahin samajh mein aaya hai
Kisi or ka video deklo
Sir mathematics cp-sp
czcams.com/video/X4i14zFDKmY/video.html
Sir ap muslim hein
Kyu?
No😂
Sar humko nahin a raha hai samajh mein
Fake video 🤬😡😠😬
What's fake in it?
Thanks sir
Thank you so much sir 🎉
Thankyou sir
Thanks you so much sir
Thanks Sir
Welcome
Thank you sir
Thank you sir
thanks you sir
Welcome
Thank you sir
Thank you sir
Thanks sir
Thank you sir❤
Welcome
Thank you 👍😊
Thanks sir
Welcome