Mixed Fractions

Class 6 Maths · Chapter 7: Fractions · NCERT Ganita Prakash section 7.5

Seekho

Anjali 7 rotiyan 2 thaaliyon mein barabar baant-ti hai. Har thaali ko 3 poori rotiyan milti hain, aur aakhri roti aadhi kat-ti hai. Har thaali mein saadhe teen rotiyan, likhte hain 3 1/2.

7 ÷ 2 = 3 and 1 left → 3 1/2

Jis fraction ka upar wala number neeche se bada ho, jaise 7/2, wo ek whole se zyada hai. Whole + 1 se chhota fraction likhne par wo mixed fraction ban jaata hai: 7/2 = 3 1/2.

Fraction → mixed: 11/4. 11 mein kitne poore 4? Do (8), aur 3 bache. To 11/4 = 2 3/4.

11 = 2 × 4 + 3 → 2 3/4

Mixed → fraction: 2 1/3. Har whole mein 3 tihaai, to 2 whole = 6 tihaai; ek aur tihaai jodo: 7/3.

2 × 3 + 1 = 7 → 7/3

Explore: teen strips par rangkar 1 se bade fractions banao.

1. 5/4 rango. Ye kitni poori strips hain?
2. 2 3/4 rango.
3. Ye strips tihaai mein kati hain. 1 2/3 rango.

Yaad rakho

• 1 se bada fraction mixed fraction mein likh sakte hain: 11/4 = 2 3/4.
• Mixed → fraction: whole × neeche + upar, usi neeche ke upar: 2 3/4 = 11/4.

Quick check

Kaunsa mixed fraction 9/4 ke barabar hai?

1. 2 1/4
2. 1 4/9
3. 2 4/1
4. 4 1/2

Socho

Tenzin kehta hai 13/5, 3 se bada hai. Kya wo sahi 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.