CBSE Class 6 Mathematics Chapter 7 Fractions NCERT Solutions

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NCERT Solutions PDF Class 6 PDF

CBSE Class 6 Mathematics Chapter 7: Fractions introduces students to the fundamental concepts of fractions. This chapter focuses on understanding how to represent parts of a whole, both visually and numerically. Students will learn to identify shaded portions as fractions and color parts of a whole based on given fractional values. The solutions provided aim to clarify common misconceptions and build a solid foundation in fraction representation. Mastering these initial concepts is vital for grasping more complex mathematical ideas later on. Through engaging exercises, students will enhance their visual and numerical reasoning abilities, setting them up for success in future mathematical endeavors and examinations.

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Quick info

BoardCBSE
ClassClass 6
SubjectMathematics
Session2026
LanguageEnglish
TypeNCERT Solutions
ChapterChapter 7

Chapter summary

Chapter 7 NCERT Solutions for Class 6 Mathematics introduces the concept of fractions. This chapter focuses on visually representing fractions by identifying shaded portions of figures and coloring parts of figures based on given fractions. It also addresses common misconceptions by identifying errors in fraction representation. The exercises are designed to solidify the basic understanding of what a fraction represents.

Learning outcomes

  • Understand the concept of a fraction as a part of a whole.
  • Represent fractions visually by identifying shaded portions.
  • Color parts of a figure to represent a given fraction.
  • Identify and correct errors in the representation of fractions.

Topics covered

Paper topics

  • Introduction to Fractions
  • Representing Fractions
  • Shaded Portions
  • Coloring Parts
  • Identifying Errors in Fractions

Important topics

  • Understanding Numerator and Denominator
  • Visual Representation of Fractions
  • Fraction as Part of a Whole

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Questions and Solutions

Question 1

Write the fraction representing the shaded portion for each of the given figures:

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

(viii)

(ix)

(x)

Solution:

To find the fraction representing the shaded portion, we count the number of shaded parts (which becomes the numerator) and divide it by the total number of equal parts in the figure (which becomes the denominator).

  1. The figure is divided into 4 equal parts, and 2 parts are shaded. So, the fraction is \frac{2}{4}.
  2. The figure is divided into 7 equal parts, and 3 parts are shaded. So, the fraction is \frac{3}{7}.
  3. The figure is divided into 2 equal parts, and 1 part is shaded. So, the fraction is \frac{1}{2}.
  4. The figure is divided into 8 equal parts, and 4 parts are shaded. So, the fraction is \frac{4}{8}.
  5. The figure is divided into 4 equal parts, and 1 part is shaded. So, the fraction is \frac{1}{4}.
  6. The figure is divided into 8 equal parts, and 4 parts are shaded. So, the fraction is \frac{4}{8}.
  7. The figure is divided into 9 equal parts, and 4 parts are shaded. So, the fraction is \frac{4}{9}.
  8. The figure is divided into 10 equal parts, and 10 parts are shaded. So, the fraction is \frac{10}{10}.
  9. The figure is divided into 4 equal parts, and 1 part is shaded. So, the fraction is \frac{1}{4}.
  10. The figure is divided into 8 equal parts, and 4 parts are shaded. So, the fraction is \frac{4}{8}.

Question 2

Colour the part according to the given fraction:

(i) \frac{1}{6}

(ii) \frac{1}{4}

(iii) \frac{1}{3}

(iv) \frac{3}{4}

(v) \frac{4}{9}

Solution:

To colour the part according to the given fraction, we need to identify the total number of equal parts in the figure (denominator) and then colour the number of parts indicated by the numerator.

(i) The figure is divided into 6 equal parts. We need to colour 1 part to represent \frac{1}{6}.

(ii) The figure is divided into 4 equal parts. We need to colour 1 part to represent \frac{1}{4}.

(iii) The figure is divided into 3 equal parts. We need to colour 1 part to represent \frac{1}{3}.

(iv) The figure is divided into 4 equal parts. We need to colour 3 parts to represent \frac{3}{4}.

(v) The figure is divided into 9 equal parts. We need to colour 4 parts to represent \frac{4}{9}.

Question 3

Identify the error, if any, in the given statements:

Statement 1: This is 3/4

Statement 2: This is 1/4

Statement 3: This is 1/2

Solution:

We need to examine each statement and determine if the fraction correctly represents the shaded portion of the figure.

Statement 1: "This is 3/4"

The figure is divided into 4 equal parts. The shaded portion consists of 3 parts. Therefore, the fraction representing the shaded portion is indeed \frac{3}{4}. This statement is correct.

Statement 2: "This is 1/4"

The figure is divided into 4 equal parts. However, the shaded portion consists of only 1 part. The statement correctly identifies this as \frac{1}{4}. This statement is correct.

Statement 3: "This is 1/2"

The figure is divided into 2 equal parts. The shaded portion consists of 1 part. Therefore, the fraction representing the shaded portion is \frac{1}{2}. This statement is correct.

Conclusion: There are no errors in the given statements. Each statement correctly identifies the fraction represented by the shaded portion of its respective figure.

Common mistakes

  • Incorrectly counting the total number of parts (denominator).
  • Incorrectly counting the shaded or colored parts (numerator).
  • Misinterpreting the fraction when identifying errors.

Revision tips

  • Practice drawing and shading figures to represent various fractions.
  • Review the definition of numerator and denominator for each problem.
  • Pay close attention to the total number of equal parts in each figure.
  • Use real-life examples to visualize fractions during revision.

Practice MCQs

Q1. What fraction represents the shaded portion in a figure with 4 equal parts, where 2 are shaded?

Q2. If a figure is divided into 6 equal parts and 1 part is shaded, what fraction represents the shaded portion?

Q3. To represent the fraction 3/4, how many parts should be colored out of 4 equal parts?

Q4. In the fraction 4/9, what does the number 9 represent?

Frequently asked questions

What is the main focus of CBSE Class 6 Maths Chapter 7?

Chapter 7 focuses on introducing the fundamental concept of fractions, including how to represent them visually by identifying shaded portions and coloring parts of figures.

How do these NCERT Solutions help students?

These solutions provide clear, step-by-step explanations for each question in Chapter 7, helping students understand how to correctly represent and identify fractions, and correct common errors.

What is a fraction?

A fraction represents a part of a whole. It consists of a numerator (the number of parts considered) and a denominator (the total number of equal parts).

How can I use these solutions for revision?

You can use these solutions to review the concepts of representing fractions visually, practice identifying shaded parts, and ensure you understand how to color figures according to given fractions.

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