Class 8 Maths - RAJASTHAN
Fractions in Disguise
In the chapter Fractions in Disguise for Class 8 Rajasthan Board, students explore the fascinating world of rational numbers that look like complex fractions or recurring decimals but can be simplified into standard forms. This chapter bridges basic fraction operations and advanced algebraic concepts. It teaches you how to identify equivalent forms of rational numbers, convert terminating and non-terminating repeating decimals into simple fraction form (p/q), and handle hidden fractions in equations. Mastering this chapter is crucial for scoring high in board exams as it forms the foundation for algebra and number systems.
Start Learning FreeKey Concepts
Rational Numbers in Disguise
Fractions or decimals that look complicated or different at first glance but represent standard rational numbers when simplified.
Converting Repeating Decimals to Fractions
The mathematical process of turning recurring decimals like 0.333... into simple fractions like 1/3 using algebraic manipulation.
Equivalent Rational Numbers
Numbers that have the same value even though their numerators and denominators are different, obtained by multiplying or dividing both by the same non-zero number.
Simplification of Complex Fractions
Reducing fractions where both the numerator and denominator contain other fractions into a single irreducible fraction.
Standard Form of Rational Numbers
A rational number p/q is in standard form if q is positive and the highest common factor (HCF) of p and q is 1.
Important Formulas
Board Exam Info
In the Rajasthan Board Class 8 Mathematics examination, this chapter typically carries around 4 to 6 marks. Common question types include converting recurring decimals into p/q form, simplifying complex fractional expressions, and identifying standard forms of disguised rational numbers.
Frequently Asked Questions
How do I convert a recurring decimal like 0.6 bar into a fraction?
Let x = 0.666... Since 1 digit repeats, multiply by 10 to get 10x = 6.666... Subtract x from 10x to get 9x = 6, which gives x = 6/9 or simplified to 2/3.
Why are these fractions called 'in disguise'?
They are called 'in disguise' because they do not look like simple p/q fractions at first, appearing instead as complex fractions, nested divisions, or repeating decimals.
Is it compulsory to write answers in standard form in the RBSE exam?
Yes, whenever a question asks for a rational number or fraction as an answer, you must reduce it to its lowest terms (standard form) to avoid losing marks.
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