Master Chapter 7 Class 6 - Fractions (Ganita Prakash) with comprehensive NCERT Solutions, Practice Questions, MCQs, Sample Papers, Case Based Questions, and Video lessons.
Start Learning NowWelcome to Chapter 7, Fractions, from your Class 6 Maths book, Ganita Prakash.
This chapter revisits a core concept in mathematics: fractions. At its simplest, a fraction tells us how much each person gets when something is shared equally. If one roti is divided equally between two children, each child gets half (1/2) a roti.
But fractions are much more than just simple sharing. They are a new kind of number, a way to represent parts of a whole or lengths that fall between whole numbers. This chapter will build a solid foundation for how to measure, represent, compare, and operate with these new numbers.
We will start with the basic idea of a "fractional unit" and build up to performing complex calculations.
Fractional Units: We begin by exploring fractional units (also called unit fractions), which are fractions with a 1 in the numerator, like 1/2, 1/4, or 1/9. You will learn the important concept that as the denominator (the bottom number) gets bigger, the share gets smaller.
Measuring with Fractions: You'll see how we use fractional units to build other fractions. For example, "3 times 1/4" gives us the fraction 3/4. We will formally learn about the numerator (the top number) and the denominator.
Fractions on the Number Line: We will move beyond thinking of fractions as just parts of a roti and learn to represent them as lengths or points on a number line. This is a key step in understanding them as actual numbers.
Mixed Fractions: This section deals with fractions greater than 1, where the numerator is larger than the denominator (like 5/2). You will learn how to express these as a mixed number, which has a whole number part and a fractional part (e.g., 5/2 = 2 + 1/2 = 2 1/2).
Equivalent Fractions: This is one of the most important ideas in the chapter. You will learn that different fractions can represent the same value. We will explore this in two ways:
Visually: Using "fraction walls" to see that the length of 1/2 is the same as 2/4 and 4/8.
By Sharing: Understanding that 1 roti shared among 2 people (1/2) is the same share as 2 rotis shared among 4 people (2/4).
Simplest Form: You will learn how to simplify a fraction (like 16/20) into its lowest terms (or simplest form, 4/5) by dividing the numerator and denominator by their common factors.
Comparing Fractions: You will learn a powerful method to compare any two fractions (like 4/5 and 7/9). The key is to convert them into equivalent fractions that have the same denominator, which makes them easy to compare.
Addition and Subtraction of Fractions: Finally, you will learn how to add and subtract fractions. This chapter introduces Brahmagupta's method, which is the formal name for the process we use today:
If the denominators are the same (e.g., 2/5 + 1/5), we simply add the numerators.
If the denominators are different (e.g., 1/4 + 1/3), we first find a common denominator by creating equivalent fractions, and then we add or subtract.
This chapter lays the groundwork for all future work with fractions, ratios, and percentages. Mastering these steps is essential, and at Teachoo, we break down every concept—from the fraction wall to Brahmagupta's method—with clear, step-by-step examples to help you understand them perfectly.
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