Hello Dosto, Mathsmell me aapka swagat hai. Previous post me humne jana ki fractions kya hai, fractions meaning and examples in hindi aur different type of simple and decimal fractions. Aaj iss post me hum janenge simple and decimal fraction ki basic operation ki bare me.
Dosto iss post ko dhayan se pura padhe taki aap samaj jaye simple and decimal fractions ki basic operations kya hote hai.
Simple fractions kya hai:
Simple fractions hum uss fractions ko kahenge jis fractions ki denominator me hamesa 10 ke alaba dusra numbers rahegi. Simple fraction ko VULGAR fraction bhi kehte hai.
Ex:- 2/5, 3/5, 4/7,.......etc.
Simple fractions hum uss fractions ko kahenge jis fractions ki denominator me hamesa 10 ke alaba dusra numbers rahegi. Simple fraction ko VULGAR fraction bhi kehte hai.
Ex:- 2/5, 3/5, 4/7,.......etc.
Operation on simple fractions:
Aise to mathematics me four basic operations hote hai jaise addition, substractions, multiplication and division.
Aise to mathematics me four basic operations hote hai jaise addition, substractions, multiplication and division.
Addition of simple fraction:
When denominator are same:
Agar two ya usse jada fractions ki denominator same hua, to addition karne ke tarika.
First fractions ki numerators ko add kare.
Next, Numerator ki addition ko denominator se divide kare.
Agar two ya usse jada fractions ki denominator same hua, to addition karne ke tarika.
First fractions ki numerators ko add kare.
Next, Numerator ki addition ko denominator se divide kare.
For example: (1/5 + 2/5)
= (1 + 2)/5
= 3/5.
= (1 + 2)/5
= 3/5.
When denominator are different:
Agar two ya usse jada fractions ki denominator different hote hai to addition karne ki tarika.
Sabse pehle denominators ko same kare LCM karke.
Next, Numerators ko add kare.
For examples, 1/2 + 1/3 + 1/4
= {(1*6)+(1*4)+(1*3)}/12
= 13/12.
Agar two ya usse jada fractions ki denominator different hote hai to addition karne ki tarika.
Sabse pehle denominators ko same kare LCM karke.
Next, Numerators ko add kare.
For examples, 1/2 + 1/3 + 1/4
= {(1*6)+(1*4)+(1*3)}/12
= 13/12.
Substractiom of simple fractions:
Agar two ya usse jada fractions ki denominator same hua, to substraction karne ke tarika.
Sabse pehle large numerator se small numerator ko subtract kare and subtraction ko denominator se divide kare.
For examples, 3/4 - 1/4
= (3-1)/4
= 2/4
= 1/2.
Agar two ya usse jada fractions ki denominator same hua, to substraction karne ke tarika.
Sabse pehle large numerator se small numerator ko subtract kare and subtraction ko denominator se divide kare.
For examples, 3/4 - 1/4
= (3-1)/4
= 2/4
= 1/2.
Agar two ya usse jada fractions ki denominator different hote hai to subtraction karne ki tarika.
Sabse pehle denominators ko same kare LCM karke.
Next, Numerator ki subtract kare and numerator ko denominator se divide kare
Sabse pehle denominators ko same kare LCM karke.
Next, Numerator ki subtract kare and numerator ko denominator se divide kare
For example, 3/2 - 2/3
= {(3*3) - (2*2)@}/6
= (9-4)/6
= 5/6.
= {(3*3) - (2*2)@}/6
= (9-4)/6
= 5/6.
Multiplication of simple fractions:
Two ya usse jada simple fractions ki multiplicatin karne ki tarika hai.
Numerator ko numerator se multiply and denominator ko denominator se multiply kare.
Ex: (1/2)*(3/5) = 3/10.
Two ya usse jada simple fractions ki multiplicatin karne ki tarika hai.
Numerator ko numerator se multiply and denominator ko denominator se multiply kare.
Ex: (1/2)*(3/5) = 3/10.
Agar diye gaye fractions mixed fractions hua to, sabse pehle mixed fractions ko improper fraction me convert kare and next, Numerator ko numerator se multiply and denominator ko denominator se multiply kare.
Ex. 2(3/5) * 1(1/3)
= 13/5 * 4/3
= 52/15.
Ex. 2(3/5) * 1(1/3)
= 13/5 * 4/3
= 52/15.
Division of simple fractions:
Agar two ya usse jada fractions ki division karna hai to sabse pehle first fraction ko likhe and second fractions ki inverse ko multiply kare.
Ex. (2/3) ÷ (3/5)
= 2/3 * 5/3
= 10/9.
Agar two ya usse jada fractions ki division karna hai to sabse pehle first fraction ko likhe and second fractions ki inverse ko multiply kare.
Ex. (2/3) ÷ (3/5)
= 2/3 * 5/3
= 10/9.
Decimal fraction kya hai:
Decimal fractions bho fractions hote hai, jis fractions ke denominator hamesa 10 ke power me hote hai.
For example : 10th part of 7 = 7 / 10.
10th part of 3 = 3 / 10
Decimal fractions bho fractions hote hai, jis fractions ke denominator hamesa 10 ke power me hote hai.
For example : 10th part of 7 = 7 / 10.
10th part of 3 = 3 / 10
Operations on Decimal Fractions:
Addition and subtraction of decimal fractions:
Two ya usse jada decimal fraction ke addition and subtraction karne ke liye niche diye gaye method ko step by step follow kare
Two ya usse jada decimal fraction ke addition and subtraction karne ke liye niche diye gaye method ko step by step follow kare
Sabse pehle decimal fractions ko uppar niche karke likheye arranged kare but ek baat dhayan rakhe ki decimal point ek he column me ho.
Next, normal method me addition aur subtraction kare.
Ex. 353.5 + 2.32 + 43.23
= 399.50.
Next, normal method me addition aur subtraction kare.
Ex. 353.5 + 2.32 + 43.23
= 399.50.
Multiplication of Decimal fractions:
Two or more decimal fractions ki multiplication karne ke liye
Sabse pehle without decimal point dono fractions ki product nikale.
Next, Decimal place ki sum nikale.
Finally, right side se decimal point count karke put kare..
Two or more decimal fractions ki multiplication karne ke liye
Sabse pehle without decimal point dono fractions ki product nikale.
Next, Decimal place ki sum nikale.
Finally, right side se decimal point count karke put kare..
For example, 4.3 X 1.3
Soln. 43 X 13 = 559
Sum of decimal places = (1+2) = 3
Therefore required product = 0.559
Soln. 43 X 13 = 559
Sum of decimal places = (1+2) = 3
Therefore required product = 0.559
Division of Decimal fractions:
Sabse pehle decimal fractions ko 10 ki suitable multiples se gunna kare and next Numerator ko denominator se normal tarika se divide kare.
For example, 42 ÷ 0.007
= (42 * 1000) / (0.007 * 1000)
= 4200/7
= 6000
For example, 42 ÷ 0.007
= (42 * 1000) / (0.007 * 1000)
= 4200/7
= 6000
I hope basic operations on simple and decimal fractions in hindi post aapko acha laga hoga.agar ha to jarur simple and decimal fraction ki basic jankari post ko apne dosto ki satg share kare and koi question ya suggestions hai to comment katke bataye.
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