NCERT Class 6 Mathematics Ganita Prakash (Sanskrit): Chapter 7 — भग्नांशाः समभागाश्च
This chapter, "भग्नांशाः समभागाश्च" (Fractions and Equal Parts), from NCERT's Class 6 Mathematics textbook "Ganita Prakash" in Sanskrit, introduces the concept of fractions. It explains that fractions represent parts of a whole when divided equally among people or items. Through a dialogue between Shabnam and Mukta, and later Beni and Arvind, the chapter illustrates how dividing a whole into more parts results in smaller individual shares. It clarifies that a larger denominator leads to a smaller fraction, contrasting common misconceptions. The chapter defines fractions as equal parts of a whole and introduces unit fractions. It includes practice problems involving dividing quantities like seeds, rice, and sugarcane juice into equal parts, reinforcing the understanding of fractional division.
Quick info
| Board | CBSE / NCERT |
|---|---|
| Class | Class 6 |
| Subject | Mathematics |
| Book | Ganita Prakash (Sanskrit) |
| Chapter | Chapter 7 — भग्नांशाः समभागाश्च |
| Language | Sanskrit |
| PDF type | NCERT Textbook |
| Session | CBSE 2026 |
| Reading time | 2 minutes |
| Word count | 374 |
Learning outcomes
- Understand the concept of fractions as parts of a whole.
- Compare fractions based on the number of parts.
- Identify unit fractions.
- Solve simple problems involving division into equal parts.
Vocabulary
| Word | Meaning |
|---|---|
| भग्नांशः | Fraction |
| समभागः | Equal part |
| अर्धभागः | Half part |
| एक-चतुर्थांशं | One-fourth part |
| एक-पञ्चमांशं | One-fifth part |
| एक-नवमांशं | One-ninth part |
| बृहत्तरः | Greater |
| क्षुद्रतरभागं | Smaller part |
| एकक-भग्नांशाः | Unit fractions |
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Practice questions
- यदि त्रीणि दृढबीजानि सन्ति, तेषां सम्मिलितः भारः १ किलोग्राम इति। यदि तेषाम् आकाराः प्रायः समानाः सन्ति, तर्हि प्रत्येकस्य भारः भवति _____ किलोग्राम । Answer: १/३
- एकः प्रत्यक्ष-व्यवसायी १ किलोग्राम-भारयुक्तं तण्डुलं समानभारयुक्तेषु चतसृषु सञ्चिकासु पूरितवान् । तर्हि प्रत्येकसञ्चिकायाः भारः भवति _____ किलोग्राम । Answer: १/४
- चत्वारि मिलाणि चषकलयपरिमितम् इक्षुरसम् दातुं पृच्छन्ति तथा ते तत् समानरूपेण सहभागयन्ति । तर्हि तेषु प्रत्येकः _____ चषकपरिमितम् इक्षुरसं पीतवान् । Answer: १/४
Frequently asked questions
What is a fraction?
A fraction represents a part of a whole that has been divided into equal parts.
How are fractions written?
Fractions are written with a numerator (the number of parts taken) above a denominator (the total number of equal parts the whole is divided into), separated by a line. For example, 1/2.
What is a unit fraction?
A unit fraction is a fraction where the numerator is 1, representing one single part of the whole.
If a roti is divided among more children, does each child get more or less?
If a roti is divided among more children, each child gets a smaller part.
Which is greater, 1/5 or 1/9?
1/5 is greater than 1/9 because the whole is divided into fewer parts, making each part larger.
Related resources
Important topics
Topics covered
NCERT Class 6 Mathematics — Ganita Prakash (Sanskrit) — Chapter 7 — भग्नांशाः समभागाश्च. Verified by NCERT Help Editorial Team. Reviewed on 29 Jul 2026. Last updated 10 Aug 2026.