Fraction ko percent me kaise convert karte hai? | 3 best methods

Hello friend!! Apne last lesson me humne aapko Percentage ka basic concept, Defination aur Examples ke baare me sikhaya tha. Hume ummid hai ki, aapko achhe se samjh aaya hoga. Aaj ke lesson me hum aapko sikhayenge ki, fraction ko percent me kaise convert (change) karte hai? 
Percentage ke problem ya questions me aksar hume fraction ko percent me convert karna padata hai. Isliye aapko fraction to percent me convert karne aana chahiye. Agar aapko nahi aata to koi baat nahi. Iss lesson ko padh kar aur thodi practice karke aap bhi issko sikh sakte hai. Hum aapko fraction to percent convert (change) karne ke 3 easy and best methods batayenge.

Inn 3 methods ka use karke aap aashani se fraction ko percent me convert karana sikh sakte hai. To phir chaliye aaj ka lesson start karte hai:

 Fraction ko Percent me kaise Convert karte hai? | 3 best methods 

Hum jaante hai ki, jo fraction number hota hai wo, p/q ke form ka hota hai. Jisme p and q (q ≠ 0) dono integer numbers hote hai. Fraction number p/q me p ko numerator (Ansh) aur q ko denominator (Har) kahte hai.
Jaise-:    P  =   Numerator (Ansh) 
                Q       Denominator (Har)

Example-: 3/5 ek fraction number hai. Jisme 3 ko numerator (Ansh) aur 5 ko denominator (Har) kahte hai.

  Fraction ko Percent me Convert karne ke 3 easy method : 

Fraction ko Percent me convert karne ke 3 easy method iss prakar se hai:
(1). Numerator (Ansh) ko Denominator (Har) se Divide phir 100 se multiply karke.
(2). Denominator (Har) ko 100 banakar.
(3). Numerator (Ansh) me 100 se multiply phir Denominator (Har) se Divide karke.

Ab hum aapko inn sabhi 3 method ko ek-ek karke step-by-step aapko sikhate hai.

Method-1.  Numerator (Ansh) ko Denominator (Har) se Divide phir 100 se multiply karke-:
Step-1. Sabse pahle diye huye fraction ke Numerator (Ansh) ko Denominator (Har) se Divide kare.
Step-2. Bhaagphal (Quotient) me 100 se multiply kariye. Multiplication result hi humara required percent hoga.

Question-1. Nichey diye huye fraction ko percent me convert kariye:
(i) 1/3                    (ii) 2/7
(iii) 3/11                (iv) 1¹/₂
(v) 2²/3
Solution-: (i) 1/3
⇒  1  × 100
      3
⇒0.33×100 = 33%    Ans. 
_____________________________________

(ii) 2/7
⇒  2  × 100
      7
⇒0.28×100 = 28%    Ans. 
_____________________________________

(iii) 3/11
⇒  3  × 100
     11
⇒0.27×100 = 27%    Ans. 

_____________________________________

(iv) 1¹/₂

⇒1¹/₂ = 3/2

⇒  3  × 100
      2
⇒1.5×100 = 150%    Ans. 

_____________________________________

(v) 2²/₃

⇒2²/₃ = 8/3

⇒  8  × 100
      3

⇒2.67×100 = 267%    Ans. 

Method-2.  Denominator (Har) ko 100 banakar-: 
Iss method me diye huye fraction ke Denominator (Har) ko 100 banate hai. Fraction ke Denominator (Har) ko 100 banane se hume direct percent me answer mil jaata hai. Kyuki percentage ka basic concept ke lesson me humne sikha tha ki, x/100 = x% hota hai. Iss method ka use ke liye nichey diye step ko follow kariye.
Step-1. Sabse pahle ye soche ki, diye huye fraction ke denominator (har) me kon-se number ka multiply kare ? Jisse denominator (Har) 100 ho jaaye.
Step-2. Jab aapko number maalum ho jaaye tab uss number ka fraction ke numerator (Ansh) aur denominator (Har) dono me multiply kare.
Step-3. Jab aap step-2 complete kar lenge tab aapko x/100 type ka fraction milega. x ko % ke saath x% likhna hai. Yahi aapka answer hai.

Question-2. Diye huye fraction ko percent me convert kariye:
(i) 1/2                    (ii) 1/4
(iii) 1/5                 (iv) 3³/₈

(v) 4⁶/₁₀

Solution-: (i) 1/2
Denominator = 2 , 2×50 = 100
⇒ 1×50  =   50  
     2×50      100
⇒   50   = 50%       Ans. 
      100
_____________________________________

(ii) 1/4
Denominator = 4 , 4×25 = 100
⇒ 1×25  =   25  
     4×25      100
⇒   25   = 25%       Ans. 
      100
_____________________________________

(iii) 1/5
Denominator = 5, 5×20 = 100
⇒ 1×20  =   20  
     5×20      100
⇒   20   = 20%       Ans. 

      100
___________________________________

(vi) 3³/₈

 3³/₈ = 27/8
Denominator = 8, 8×12.5 = 100
⇒ 27×12.5  =  337.5 
      8×12.5         100
⇒ 337.5  = 337.5 %         Ans. 
       100
___________________________________

(v) 4⁶/₁₀
 4⁶/₁₀ = 46/10
Denominator = 10, 10×10 = 100
⇒ 46×10  =   460 
     10×10       100
⇒ 460  = 460%           Ans. 
      100

Method-3. Numerator (Ansh) me 100 se multiply phir Denominator (Har) Divide karke-: 
Isska step niche diya hai:
Step-1. Fraction ke numerator (Ansh) me 100 se multiply kare.
Step-2. Numerator ko Denominator se divide kare.

Question-3. Nichey diye huye fraction ko percent me convert kariye:
(i) 15/35                   (ii) 12/27
(iii) 20/28                (iv) 1⁷/₃
(v) 5³/19
Solution-: (i) 15/35
15/35 = 3/7
⇒  3×100 
         7
⇒  300 
        7
= 42.86%       Ans. 
_____________________________________

(ii) 12/27 = 4/9
⇒ 4×100 
        9
⇒ 400 
       9       
= 44.44%       Ans. 
_____________________________________

(iii) 20/28= 5/7
⇒ 5×100 
        7
⇒ 500 
       7       
= 71.42%       Ans. 
_____________________________________

(vi) 1⁷/₃

1⁷/₃ = 10/3
⇒ 10×100 
          3
⇒ 1000 
        3   
= 333.33%       Ans. 
_____________________________________

(v) 5³/19

5³/19 = 98/19

⇒ 98×100 
         19
⇒ 9800 
       19 
= 515.7%       Ans. 
_____________________________________

Ye bhi padhe:
❒ Fast multiplication tricks for 4 digit numbers by 2 digit numbers
❒ Interest rate kaise nikale? jab interest, principle aur time diya ho
❒ Principal calculate karna sikhiye jab interest, Rate aur time diya ho

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