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Class 7 Maths Fractions Solutions

Iss page par, hum Class 7 NCERT Mathematics ke Fractions chapter ke solutions discuss karenge. Ye solutions Hinglish mein hain, jisse aap easily samajh saken.

Overview of Fractions

Fractions ek fundamental concept hai jo aage ke maths mein kaam aata hai. Hum isme basic se advanced topics cover karenge.

Kyu Important Hai?

  • Daily life mein fractions ka use hota hai.
  • Maths ki strong foundation ke liye zaroori.
  • NCERT syllabus ke according solutions.

Links for Chapter-wise Download NCERT Solution for Class 7 गणित in hindi Language

Here we have provided NCERT Solution for Class 7 गणित in hindi Language, Just select the chapters below to get solution of the same:

भिन्न एवं दशमलव

आंकड़ों का प्रबंधन

सरल समीकरण

रेखा एवं कोण

त्रिभुज और उसके गुण

त्रिभुजों की सर्वांगसमता

राशियों की तुलना

परिमेय संख्याएँ

प्रायोगिक ज्यामिती

परिमाप और क्षेत्रफल

बीजीय व्यंजक

घातांक और घात

सममिति

ठोस आकारों का चित्रण

Introduction to Fractions

Fractions, jo ki bhinn bhi kehte hain, ek number ko parts mein divide karte hain. Inme do main parts hote hain: numerator (upper part) aur denominator (lower part). For example, 1/2 mein 1 numerator hai aur 2 denominator hai.

Types of Fractions

Fractions ke kai prakar hote hain. Inhe samajhna bahut zaroori hai.

  • Proper Fractions: Jab numerator denominator se chota hota hai, jaise 3/5.
  • Improper Fractions: Jab numerator denominator se bada ya equal hota hai, jaise 7/4.
  • Mixed Fractions: Ek whole number aur fraction ka combination, jaise 2 1/3.

Operations on Fractions

Fractions par various operations perform kiye ja sakte hain. Aaiye inhe step-by-step dekhte hain.

Addition of Fractions

Fractions ko add karne ke liye, pehle denominator same karna hota hai. Agar denominators same hain, to numerators directly add kar do. Example: 1/4 + 2/4 = 3/4. Agar denominators different hain, to LCM nikal ke fractions ko equivalent banaye.

Subtraction of Fractions

Subtraction bhi addition ki tarah hota hai. Denominators same karo, fir numerators subtract karo. Example: 5/6 - 2/6 = 3/6, jisko simplify karke 1/2 kar sakte hain.

Multiplication of Fractions

Fractions ko multiply karna simple hai. Directly numerators ko multiply karo aur denominators ko multiply karo. Example: 2/3 * 3/5 = (2*3)/(3*5) = 6/15, jisko simplify karke 2/5 milta hai.

Division of Fractions

Division mein, second fraction ka reciprocal leke usse multiply karte hain. Example: 2/3 ÷ 4/5 = 2/3 * 5/4 = 10/12 = 5/6 after simplification.

NCERT Examples and Solutions

Ab hum kuch NCERT textbook se examples lete hain aur unhe solve karte hain.

Example 1: Adding Mixed Fractions

Question: 2 1/3 + 3 2/5 ko solve karo. Pehle mixed fractions ko improper fractions mein badlo: 7/3 + 17/5. Ab denominators ka LCM lo, jo 15 hai. Equivalent fractions banao: 35/15 + 51/15 = 86/15. Isse mixed fraction mein: 5 11/15.

Example 2: Word Problem

Ek cake ka 1/4 part Rahul ne khaya aur 1/3 part Sita ne khaya. Kitna cake bacha? Solution: Total khaya gaya part = 1/4 + 1/3. LCM of 4 and 3 is 12. So, 3/12 + 4/12 = 7/12. Bacha hua cake = 1 - 7/12 = 5/12.

Practice Tips

Fractions ko acchi tarah samajhne ke liye regular practice karo. NCERT exercises solve karo aur real-life situations mein apply karo. Hinglish mein explanations se aap easily concepts grasp kar sakenge.

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