Complete Summary, Explanations, and Solutions for Fractions – Ganita Prakash Class VI, Chapter 7 – Numerator, Denominator, Equivalent Fractions, Operations, Questions, Answers
Detailed summary and explanation of Chapter 7 'Fractions' from the Ganita Prakash Mathematics textbook for Class VI, covering fractional units and equal shares, fractions as parts of a whole, measuring using fractional units, marking fractions on number line, mixed fractions, equivalent fractions, comparing fractions, Brahmagupta's method for addition and subtraction of fractions, expressing fractions in lowest terms—along with all NCERT questions, answers, and step-by-step solutions.
Updated: 6 months ago
Categories: NCERT, Class VI, Mathematics, Ganita Prakash, Chapter 7, Fractions, Number System, Summary, Questions, Answers, Operations on Fractions
Tags: Fractions, Ganita Prakash, NCERT, Class 6, Mathematics, Fractional Units, Unit Fractions, Numerator, Denominator, Proper Fractions, Improper Fractions, Mixed Fractions, Equivalent Fractions, Number Line, Comparing Fractions, Addition of Fractions, Subtraction of Fractions, Brahmagupta's Method, Lowest Terms, Simplest Form, Like Fractions, Unlike Fractions, Egyptian Fractions, Summary, Explanation, Questions, Answers, Solutions, Chapter 7
This chapter explains fractions as equal shares of a whole, using examples like rotis and chikkis. It covers fractional units, measuring with fractions, marking on number lines, and mixed fractions.
Main Topics Covered
Introduction to fractions as shares (e.g., 1 roti shared among 2 or 4 children: \(\frac{1}{2}\), \(\frac{1}{4}\))
Fractional units and equal shares: Comparing \(\frac{1}{5}\) and \(\frac{1}{9}\)
Knowledge from the past: Ancient Indian terms for fractions
Fractions as parts of a whole (using chikki examples)
Measuring using fractional units (paper strips, rotis)
Solution: Each part \(\frac{1}{4}\); 2 parts = \(\frac{2}{4} = \frac{1}{2}\).
Example 5: Marking \(\frac{1}{3}\) on Number Line
Solution: Divide 0-1 into 3 equal parts.
Example 6: Mixed Fraction \(\frac{5}{2}\)
Solution: \(2 + \frac{1}{2}\).
Example 7: Sum of Weights \(\frac{1}{2} + \frac{1}{4}\)
Solution: \(\frac{3}{4}\) kg.
Figure it Out Solutions (All Solved)
Section 7.1: Fractional Units and Equal Shares
1. Three guavas weigh 1 kg equally.
Ans. Each \(\frac{1}{3}\) kg.
2. 1 kg rice in 4 equal packets.
Ans. Each \(\frac{1}{4}\) kg.
3. 3 glasses juice shared by 4 friends.
Ans. Each \(\frac{3}{4}\) glass.
4. Big fish \(\frac{1}{2}\) kg, small \(\frac{1}{4}\) kg, together.
Ans. \(\frac{3}{4}\) kg.
5. Arrange fraction words: quarter, half, three quarters, one and a quarter, one and a half, two and a half.
Ans. Quarter, half, three quarters, one and a quarter, one and a half, two and a half.
Section 7.2: Fractional Units as Parts of a Whole
Figures a-h: How much of whole chikki?
Ans. a. \(\frac{1}{2}\), b. \(\frac{1}{3}\), c. \(\frac{1}{4}\), d. \(\frac{1}{5}\), e. \(\frac{1}{6}\), f. \(\frac{1}{7}\), g. \(\frac{1}{8}\), h. \(\frac{1}{9}\). (Based on divisions shown in PDF.)
Section 7.3: Measuring Using Fractional Units
Do it once more! Fill blanks for \(\frac{1}{8}\).
Ans. 2 times \(\frac{1}{8} = \frac{1}{4}\), 4 times = \(\frac{1}{2}\), 6 times = \(\frac{3}{4}\), 8 times = 1.
Section 7.4: Marking Fraction Lengths on the Number Line
