Fractions & Decimals: Operations & Comparisons

A high-yield practice drill on fractions and decimal numbers for Kerala PSC examinations (LDC, LGS, CPO, Fireman, Secretariat Assistant). It covers classification (proper, improper, mixed), cross-multiplication comparison of fractions, arithmetic operations (addition, subtraction, multiplication, division), decimal alignment, and recurring decimals.

Study Scope

• Fraction Classification: Proper (numerator < denominator), improper, and mixed fraction conversions
• Fraction Comparison: Cross-multiplication method and decimal conversion to identify largest/smallest
• Fraction Operations: Unlike fraction addition/subtraction via LCM, fraction multiplication and reciprocal division
• Decimal Arithmetic: Decimal point alignment in sums, subtraction from integers, decimal multiplication and division
• Conversions: Converting fractions to decimals ($$\frac{3}{8} = 0.375$$) and recurring decimals ($$0.\bar{3} = \frac{1}{3}$$)

Tested Competencies

• Quickly determine the largest or smallest fraction in a given set without lengthy long division
• Compute multi-step fractional and decimal arithmetic accurately
• Avoid common decimal point placement traps in competitive exams