Fractions ka Bhaag

Class 7 Maths · Chapter 8: Fractions ke Saath Kaam · NCERT Ganita Prakash section 8.2

Seekho

12 ÷ 4 = 3 kyunki 4 × 3 = 12. Har bhaag ko guna ke sawaal mein badla ja sakta hai. To 1 ÷ 2/3 poochhta hai: 2/3 × ? = 1. 2/3 ko 3/2 se guna karne par sab kat jaata hai: 2/3 × 3/2 = 1. To 1 ÷ 2/3 = 3/2.

2/3 × 3/2 = 1

Fraction ko ulatne se uska reciprocal milta hai: 3/5 ka 5/3, aur 7 ka 1/7. Number × uska reciprocal = 1. Phir 3 ÷ 2/3 = 3 × 3/2 = 9/2: 1 ÷ 2/3 ka teen guna.

3 ÷ 2/3 = 3 × 3/2 = 9/2

Niyam (Brahmagupta ne hi pehle likha): bhaag ke liye bhaajya ko bhaajak ke reciprocal se guna karo. a/b ÷ c/d = a/b × d/c. To 2/3 ÷ 3/5 = 2/3 × 5/3 = 10/9, aur 1/5 ÷ 1/2 = 1/5 × 2 = 2/5.

a/b ÷ c/d = a/b × d/c

Bada ya chhota? 6 ÷ 3 = 2, 6 se chhota, par 6 ÷ 1/4 = 24 bada: 6 mein kitne chauthaai samaate? 0 aur 1 ke beech wale se bhaag dene par jawaab bhaajya se bada; 1 se bade se bhaag par chhota.

6 ÷ 1/4 = 24

Explore: ulatkar bhaag.

1. Har bhaag ko uske jawaab se milaao.

Yaad rakho

• a/b ka reciprocal b/a; guna-phal 1.
• Fraction se bhaag ke liye uske reciprocal se guna karo.

Quick check

3/4 ÷ 1/2 kya hai?

1. 3/2
2. 3/8
3. 2/3
4. 1/2

Socho

1/8 ÷ 1/4, 1/8 se bada hai ya chhota?

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.