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Fractions compare kaise karein?

Short mein jawab

Do fractions compare karne ke liye unka denominator ek jaisa karo, phir numerators compare karo. Denominator same ho to bade numerator wala bada hai: 5/8 > 3/8. Numerator same ho to chhote denominator wala bada hai: 4/7 > 4/8. Warna badlo: 4/5 = 36/45 aur 7/9 = 35/45, isliye 4/5 > 7/9.

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Jab denominators same hon

5/8 matlab 1/8 ke 5 hisse, aur 3/8 matlab 1/8 ke 3 hisse. Dono ek hi fractional unit use karte hain, isliye jiske units zyada, wo bada: 5/8 > 3/8. Denominator same ho to bas numerators compare karo.

Jab numerators same hon

1/5 aur 1/9 mein bada kaun? Ek roti baantne ke baare mein socho. 5 bachchon mein baanto to har tukda 9 bachchon mein baantne se bada hoga, isliye 1/9 < 1/5. Yahi baat kisi bhi numerator pe lagti hai. 4 chikki 7 bachchon mein baanto to har ek ko 4/7 milti hai; 8 bachchon mein baanto to 4/8. Zyada bachche, chhota hissa, isliye 4/7 > 4/8. Aur kyunki 4/8 = 1/2, hum ye bhi jaante hain ki 4/7 > 1/2.

Matlab numerator same ho to chhote denominator wala fraction bada hai.

Jab dono alag hon

Kise zyada chikki milegi: us group ke bachche ko jahan 1 chikki 2 bachchon mein bati, ya us group ke bachche ko jahan 5 chikki 8 bachchon mein bati? Hume 1/2 aur 5/8 compare karne hain. 1/2 = 4/8, aur 4/8 < 5/8, isliye doosre group ke har bachche ko zyada milta hai.

Zyadatar dono numbers alag hote hain, isliye pehle dono fractions ko ek hi fractional unit mein badalte hain. 3/4 aur 2/3 compare karo: 4 aur 3 dono 12 ko poora bhaag dete hain, isliye 3/4 = 9/12 aur 2/3 = 8/12.

3/4 aur 2/3 ki pattiyan, aur wahi pattiyan twelfths mein kati hui: 9/12 aur 8/12
Pehle same fractional unit, phir compare

9 twelfths, 8 twelfths se zyada hain, isliye 3/4 > 2/3.

Koi bhi fractions compare karne ke do steps

  1. Step 1: fractions ko ek jaise denominator wale equivalent fractions mein likho. Denominators ka common multiple kaam karta hai.
  2. Step 2: numerators compare karo, yaani fractional units gino.

Example 1: 4/5 ya 7/9? 45, 5 aur 9 ka common multiple hai. 4/5 = (4 × 9)/(5 × 9) = 36/45 aur 7/9 = (7 × 5)/(9 × 5) = 35/45. Isliye 4/5 > 7/9.

Example 2: 7/9 ya 17/21? 63, 9 aur 21 ka common multiple hai. 7/9 = (7 × 7)/(9 × 7) = 49/63 aur 17/21 = (17 × 3)/(21 × 3) = 51/63. Isliye 7/9 < 17/21.

Fractions ko order mein rakhna

1/2, 5/6 aur 2/3 ko ascending order mein rakhne ke liye common denominator 6 lo: 1/2 = 3/6, 5/6 = 5/6 aur 2/3 = 4/6. To order hai 1/2 < 2/3 < 5/6. Descending order ke liye bas ulta karo: 5/6 > 2/3 > 1/2.

1 se bade fractions

1 se bade fractions pe bhi yahi steps chalte hain. 8/3 aur 5/2 compare karo: denominator 6 se, 8/3 = 16/6 aur 5/2 = 15/6, isliye 8/3 > 5/2. Mixed fractions mein pehle poore hisse compare kar sakte ho: 8/3 = 2 2/3 aur 5/2 = 2 1/2 ka poora hissa same hai, isliye 2/3 aur 1/2 compare karo, aur 2/3 bada hai.

Compare karna fractions ko jodna aur ghatana se pehle ka step bhi hai, jisme yahi common denominator wala idea lagta hai.

Practice karo

  1. 5/6 aur 7/9 mein bada kaun hai?

    1. (a) 5/6
    2. (b) 7/9
    3. (c) Dono barabar hain
    4. (d) Compare nahi ho sakte
    Jawab dekho

    Jawab: (a) 5/6 Denominator 18 se: 5/6 = 15/18 aur 7/9 = 14/18.

  2. Kis group mein har bachche ko zyada juice milega: 3 glass 5 bachchon mein, ya 3 glass 4 bachchon mein?

    1. (a) 3 glass 5 bachchon mein
    2. (b) 3 glass 4 bachchon mein
    3. (c) Dono mein barabar
    4. (d) Bata nahi sakte
    Jawab dekho

    Jawab: (b) 3 glass 4 bachchon mein 3/4 > 3/5: utna hi juice kam bachchon mein bata.

  3. Kaunsi list ascending order mein hai?

    1. (a) 1/2, 2/5, 3/4
    2. (b) 2/5, 1/2, 3/4
    3. (c) 3/4, 1/2, 2/5
    4. (d) 1/2, 3/4, 2/5
    Jawab dekho

    Jawab: (b) 2/5, 1/2, 3/4 Denominator 20 se: 2/5 = 8/20, 1/2 = 10/20 aur 3/4 = 15/20.

  4. 5/12 aur 3/8 compare karo.

    Jawab dekho

    Jawab: 24, 12 aur 8 ka common multiple hai: 5/12 = 10/24 aur 3/8 = 9/24. Isliye 5/12 > 3/8.

  5. 2/3, 5/9 aur 7/12 ko descending order mein likho.

    Jawab dekho

    Jawab: Denominator 36 se: 2/3 = 24/36, 5/9 = 20/36 aur 7/12 = 21/36. Isliye 2/3 > 7/12 > 5/9.

Students ke sawal

Alag denominators wale fractions kaise compare karte hain?

Denominators ka common multiple dhoondho, dono fractions ko us denominator se likho, aur numerators compare karo. Jaise 3/4 = 15/20 aur 7/10 = 14/20, isliye 3/4 > 7/10.

1/5 aur 1/9 mein bada kaun hai?

1/5. Jab ek poora 5 mein baanta jaata hai, to har hissa 9 mein baantne se bada hota hai.

Kaunsa common denominator lena chahiye?

Denominators ka guna hamesha chalta hai. Sabse chhota common multiple numbers ko chhota rakhta hai, jaise 3/4 aur 7/10 ke liye 40 ki jagah 20.

Fractions ko ascending order mein kaise likhte hain?

Sabko ek common denominator se likho, phir numerators ke hisaab se chhote se bade ki taraf rakho. Descending order ke liye bade se chhote ki taraf.

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