Class 8 Maths - KERALA

Fractions in Disguise

In the chapter Fractions in Disguise from the Class 8 Mathematics textbook of the Kerala SCERT syllabus, students explore algebraic fractions and rational expressions. This chapter helps you look beyond standard numbers and see how fractions can be disguised using variables. You will learn how to simplify complex algebraic fractions, find common denominators, and solve equations that contain fractional expressions with polynomials. Mastering this chapter is crucial for board exam success because it builds the foundational algebraic manipulation skills required for higher classes, frequently appearing in both short answer and multi-step problem-solving sections of the examination.

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Key Concepts

Algebraic Fractions

An algebraic fraction is a fraction where the numerator and/or the denominator are algebraic expressions containing variables.

Simplification by Factorization

To simplify a fraction in disguise, we factorize both the numerator and the denominator and cancel out common factors.

Operations on Algebraic Fractions

Addition, subtraction, multiplication, and division of algebraic fractions follow the same basic rules as standard numerical fractions, requiring common denominators for addition and subtraction.

Undefined Values

An algebraic fraction becomes undefined when its denominator equals zero, meaning we must identify and exclude those values of the variable.

Important Formulas

a/b + c/b = (a + c)/b
(a/b) * (c/d) = (ac)/(bd)
(a/b) / (c/d) = (a/b) * (d/c) = (ad)/(bc)
x^2 - y^2 = (x - y)(x + y)

Board Exam Info

In the Kerala (SCERT) Class 8 Mathematics examinations, this chapter typically carries around 6 to 8 marks. Common question types include simplifying complex algebraic fractions by factorisation, combining two or more fractional expressions into a single simplified form, and solving linear or quadratic fractional equations.

Frequently Asked Questions

How do I know which terms to cancel in an algebraic fraction?

You can only cancel factors that are multiplied across the entire numerator and denominator. Never cancel terms that are separated by plus or minus signs.

Why do we need to find factors before simplifying fractions?

Factorisation helps reveal hidden common terms in the numerator and denominator so you can reduce the fraction to its lowest terms.

What makes a fraction undefined?

A fraction is undefined if its denominator is zero, so you must always check which values of the variable make the denominator zero.

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