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Fractions Jodna aur Ghatana

Class 6 Maths · Chapter 7: Fractions · NCERT Ganita Prakash section 7.8, 7.9

Seekho

Divit subah baad ka 2/7 rangta hai aur shaam ko 3/7. Dono 1/7 ke tukde hain, to bas gino: 2 + 3 = 5 tukde. Usne 5/7 ranga.

2/7 + 3/7 = 5/7

Same neeche: upar wale jodo (ya ghatao) aur neeche wahi rakho. 7/9 − 4/9 = 3/9 (= 1/3). Neeche wahi rehta hai kyunki har tukde ka size nahi badalta.

7/9 − 4/9 = 3/9

Alag neeche: 1/2 + 1/3. Aadhe aur tihaai alag size ke hain, to pehle dono ko chhathe mein badlo: 1/2 = 3/6 aur 1/3 = 2/6. Ab 3/6 + 2/6 = 5/6.

1/2 + 1/3 = 3/6 + 2/6 = 5/6

Nisha ke paas bottle ka 3/4 juice hai aur wo bottle ka 1/3 nikaal deti hai. 12 wale lo: 9/12 − 4/12 = bottle ka 5/12 bacha.

3/4 − 1/3 = 9/12 − 4/12 = 5/12

Explore: number line par jump karke jodo.

  1. 0 se shuru karo. 3/8 jump, phir 2/8 aur. Kahan pahunche?
  2. 1/2 + 1/4: dono ko aathve mein badlo aur answer par pahuncho.
  3. 7/8 se shuru karke 3/8 peeche jump karo.

Itihaas se: Bhaarat ke ganitagya fractions ko ek number ke upar doosra likhte the, beech mein line ke bina. Lagbhag 1,400 saal pehle Brahmagupta ne alag neeche wale fractions jodne aur ghatane ke saaf niyam likhe: neeche wale barabar karo, phir upar wale jodo. Beech ki line baad mein North Africa ke ganitagyon ne jodi.

Yaad rakho

  • Same neeche: upar jodo ya ghatao, neeche wahi rakho.
  • Alag neeche: pehle common neeche ke saath likho, phir jodo ya ghatao.
  • Neeche wale kabhi mat jodo: 1/2 + 1/2 = 1, 2/4 nahi.

Quick check

2/5 + 1/2 = ?

  1. 9/10
  2. 3/7
  3. 3/10
  4. 1/10
Answer

9/10. Dasve lo: 2/5 = 4/10 aur 1/2 = 5/10, to 4/10 + 5/10 = 9/10. Upar-upar aur neeche-neeche jodna (3/7) aam galti hai.

Socho

Rohan Monday ko kitaab ka 1/3 padhta hai aur Tuesday ko 1/4. Kitaab ka kitna hissa abhi bina padha hai?

Ek answer

12 wale lo: 1/3 = 4/12 aur 1/4 = 3/12, to usne 7/12 padha. Poori kitaab 12/12, to 12/12 − 7/12 = 5/12 abhi baaki hai.

Practice

Teen levels (easy, medium, hard) ke naye sawaalon se practice karo, kuch hands-on, hints aur hal ke saath. Topic poora karne ke liye pichhle 5 mein se 4 sahi karo.