Class 8 Maths - ANDHRA-PRADESH
Fractions in Disguise
The chapter 'Fractions in Disguise' in Class 8 Mathematics for Andhra Pradesh (BSEAP) students explores rational numbers, repeating decimals, and equivalent forms of fractions that look different at first glance. Students learn how to convert terminating and non-terminating recurring decimals into standard fraction form (p/q) and understand the density property of rational numbers. This chapter builds a strong foundation for algebra and real number systems. Mastery of these concepts is crucial for scoring well in both formative assessments and the annual board exams, particularly in numerical simplification and problem-solving sections.
Start Learning FreeKey Concepts
Rational Numbers
Numbers that can be expressed in the form p/q, where p and q are integers and q is not equal to 0.
Terminating Decimals
Decimals that have a finite number of digits after the decimal point and can easily be converted to fractions with powers of 10 in the denominator.
Non-Terminating Recurring Decimals
Decimals that go on infinitely but have a repeating pattern of digits, which can be disguised fractions expressed in p/q form using algebraic methods.
Equivalent Rational Numbers
Different fractions that represent the same value, obtained by multiplying or dividing both the numerator and denominator by the same non-zero integer.
Decimal Expansion
The representation of a rational number in decimal form, which is either terminating or non-terminating repeating.
Important Formulas
Board Exam Info
In the Andhra Pradesh (BSEAP) Class 8 Mathematics exams, this chapter typically carries around 4 to 6 marks. Common question types include converting recurring decimals into p/q form, identifying equivalent rational numbers, and simplifying complex fractional expressions.
Frequently Asked Questions
How do I convert a recurring decimal like 0.6bar into a fraction?
Let x = 0.666... Since one digit repeats, multiply by 10 to get 10x = 6.666... Subtract x from 10x to get 9x = 6, which gives x = 6/9 or 2/3.
Why are fractions called 'in disguise' in this chapter?
Because numbers that look like decimals (like 0.5 or 0.333...) are actually fractions in a different format, just waiting to be uncovered as p/q.
Can every fraction be written as a terminating decimal?
No, only fractions whose denominators have prime factors of only 2 and/or 5 will terminate. Others result in non-terminating recurring decimals.
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