Hello Dosto mathsmell ( maths tricks in hindi) me appka swagat hai. Fractions ki short tricks apki exams ke liye bahut he important hai. Aur hum sab jante hai competitive exams me time management bahut he jaruri hote hai.Iss chapters ko jada tar student chor dete hai lekin aaj iss post me maine fractions ki all types shor tricks ki bare me discuss karunge.
Isliye dosto iss post me diye gaye shortcut examples ke sath dhayan se pura read kare taki aap fractions ki shortcut tricks ko asani se samaj sake.Dosto hum sab jante hai ki mathematics competitive exams me most important part hai.Mera matlab ye nahi ki others topics important nahi hai but aap maths section se acha score kar sakte hai.
Fractions short tricks hindi me :
Dosto examples on fractions shortcut tricks janne se pehle me apko suggest karunge fractions ki basic concept and different type of fractions ki jankari hail kare. Niche fractions ki kuch important short tricks with examples ki satg diye gaye hai.
Dosto examples on fractions shortcut tricks janne se pehle me apko suggest karunge fractions ki basic concept and different type of fractions ki jankari hail kare. Niche fractions ki kuch important short tricks with examples ki satg diye gaye hai.
TRICKS:-1.
Agar kisi fractions ki simplified form me represent karna hai to iske liye numerator and deenominator ko uske HCF se divide kare.
For example, Write 9/15 in simplified form.
Soln. Sabse pehle 9 and 15 ki HCF nikale.
Hcf of 9 and 15 = 3.
Next, numerator and denominator ko 3 se divide kare.
(9÷3) = 3 and (15 ÷ 3) = 5.
Therefore, 9/15 can be simplified as 3/5.
Agar kisi fractions ki simplified form me represent karna hai to iske liye numerator and deenominator ko uske HCF se divide kare.
For example, Write 9/15 in simplified form.
Soln. Sabse pehle 9 and 15 ki HCF nikale.
Hcf of 9 and 15 = 3.
Next, numerator and denominator ko 3 se divide kare.
(9÷3) = 3 and (15 ÷ 3) = 5.
Therefore, 9/15 can be simplified as 3/5.
Tricks:2.
Agar factions ki numerator and denominator ki difference same hote hai, to jis fractions ki numerator bara hogi bho largest fraction hogi and jis fraction ki numerator chota hoga bho fraction chota hogi.
For examples, Arrange the given fractions in increasing order 3/4, 4/5, 5/6.
Soln. Sabhi fractions ki numerator and denominator ki difference same hai.
So, increasing order is 3/4, 4/5, 5/6.
Agar factions ki numerator and denominator ki difference same hote hai, to jis fractions ki numerator bara hogi bho largest fraction hogi and jis fraction ki numerator chota hoga bho fraction chota hogi.
For examples, Arrange the given fractions in increasing order 3/4, 4/5, 5/6.
Soln. Sabhi fractions ki numerator and denominator ki difference same hai.
So, increasing order is 3/4, 4/5, 5/6.
Tricks:- 3.
Agar kisi fractions ki numerator ki value ek definite value me increase ho rahe hai and sath me denominators ki value bhi ek definite value me increase hahi hai,
Agar denominator, numerator se bara hua to smallest numerator wala fraction smallest fraction hogi and large numerator wali fraction he hogi largest fraction.
Agar kisi fractions ki numerator ki value ek definite value me increase ho rahe hai and sath me denominators ki value bhi ek definite value me increase hahi hai,
Agar denominator, numerator se bara hua to smallest numerator wala fraction smallest fraction hogi and large numerator wali fraction he hogi largest fraction.
For example, Which of the following are smallest and largest among 2/5, 5/11, 8/17, 11/23.
Soln. Iss question me numerator ki value 3 inccrease ho rahi he and denominator ki value 6 increase ho rahi hai.
Therefore, 6 > 3 I.e. numerator denominator se chota hai.
So, smallest numerator wali fraction smallest fraction hogi and largest numerator wali fraction largest fraction hogi.
Therefore, Smallest fraction = 2/5 and Largest fraction = 11/23.
Soln. Iss question me numerator ki value 3 inccrease ho rahi he and denominator ki value 6 increase ho rahi hai.
Therefore, 6 > 3 I.e. numerator denominator se chota hai.
So, smallest numerator wali fraction smallest fraction hogi and largest numerator wali fraction largest fraction hogi.
Therefore, Smallest fraction = 2/5 and Largest fraction = 11/23.
Tricks:-4.
Agar kisi numbers ko a/b se multiply karne ke badle a/b se divide kare and obtained value original number se greater than x huye to bho diye gaye number hogi abx/(b^2 - a^2).
Agar kisi numbers ko a/b se multiply karne ke badle a/b se divide kare and obtained value original number se greater than x huye to bho diye gaye number hogi abx/(b^2 - a^2).
For example, Arun was find 6/7 of a fractions, instead of multiplying, he divided the fraction by 6/7 and the result obtained was 13/20 greater than original value.Find the fraction given to Arun.
Soln. Here a = 6, b = 7 and x = 13/70
Fraction = abx/(b^2 - a^2).
=(6*7*13/70)/(7^2 - 6^2)
= 6*7*13/13*70
= 3/5.
Soln. Here a = 6, b = 7 and x = 13/70
Fraction = abx/(b^2 - a^2).
=(6*7*13/70)/(7^2 - 6^2)
= 6*7*13/13*70
= 3/5.
Some quont short tricks for fractions problem:
7 + 3/7 = 7(3/7)
7 + 7/3 = 7 + 2(1/3) = 9(1/3)
7 - 3/7 = 6 + (1 - 3/7) = 6 + 4/7 = 6(4/7).
7 - 7/3 = 7 - 2(1/3) = 5 - 1/3 = 4 + (1-1/3) = 4 + 2/3 = 4(2/3).
7 + 3/7 = 7(3/7)
7 + 7/3 = 7 + 2(1/3) = 9(1/3)
7 - 3/7 = 6 + (1 - 3/7) = 6 + 4/7 = 6(4/7).
7 - 7/3 = 7 - 2(1/3) = 5 - 1/3 = 4 + (1-1/3) = 4 + 2/3 = 4(2/3).
I hope few important tricks on fractions shortcut tricks in hindi post apko acha laga hogi. agar ha to apne dosto ki sath fractions short tricks ko share kare aur agar iss topics related koi questions hai to comment section me comment kare.Thank You.....
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