Fractions in Disguise
NCERT Class 8 Mathematics Chapter 1: Fractions in Disguise (Pages 1–32)
Summary of Fractions in Disguise
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Fractions in Disguise at a Glance
CBSE
Class 8
Mathematics
Ganita Prakash Part II
1
1–32
7 study resources
Fractions in Disguise Summary
In this chapter, students will learn about the concept of fractions as percentages. The idea of 'per cent' means 'out of one hundred,' making percentages a special kind of fraction with a denominator of one hundred. For example, if we say twenty-five per cent, it means twenty-five out of every one hundred. This chapter guides students on how to express fractions as percentages, showing that any fraction can actually be converted into a percentage by finding its equivalent with a denominator of one hundred. There are different methods to achieve this, like multiplying the fraction by a specific value so that its denominator becomes one hundred. Throughout the chapter, various examples illustrate how to convert fractions such as three-fourths and two-fifths into their percentage forms, helping students grasp the process clearly. Students will also learn how to express percentages as fractions. For instance, twenty-four per cent can be simply written as twenty-four over one hundred. This will illustrate how both concepts are interconnected and show the versatility of percentages in everyday situations. Understanding percentages can make it easier to interpret data, such as comparing how sugary different varieties of biscuits are by looking at their sugar content in percentage terms rather than fractions, which may not provide immediate clarity. The chapter also covers practical applications of percentages in real life, such as in sales promotions, academic scores, and statistical data interpretations, highlighting their relevance. For example, recognizing that an advertisement stating a product is fifty per cent off means the customer pays half the original price is essential in shopping contexts. Furthermore, terms like eighty per cent of teenagers failing to meet exercise recommendations relate directly to real-world health statistics. Finally, showcasing how to apply percentages in different contexts emphasizes their importance. Recognizing that the human body contains about sixty per cent water by weight is a typical example that students can relate to. By the end of the chapter, students will have a solid understanding of how to work with fractions and percentages, enabling them to handle mathematical situations that might arise in academics and everyday life effortlessly.
