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CMAT Topics

Fractions, Decimals and Percentages

Fractions, decimals, and percentages are different ways of representing the same quantity. These concepts are heavily tested in TU CMAT quantitative aptitude and are essential for solving real-world mathematical problems.

Practice MCQs for Fractions, Decimals and Percentages

Fundamental Principles

Fraction

A fraction represents a part of a whole written as a/b where a is numerator and b is denominator (b ≠ 0).

Decimal

A decimal is a number expressed in base-10 form using a decimal point to represent fractions.

Percentage

Percentage means 'per hundred'. It expresses a number as a fraction of 100.

Conversion Rule

Fraction → Decimal by division. Decimal → Percentage by multiplying by 100. Percentage → Fraction by dividing by 100 and simplifying.

Percentage of a Quantity

To find x% of a number, multiply the number by x/100.

Essential Formulation Tips

  • Always simplify fractions before converting.
  • Memorize key conversions like 1/2 = 50%, 1/4 = 25%, 3/4 = 75%.
  • Use 100 as base for fast percentage calculations.
  • Convert decimals to fractions for easier CMAT calculations.

Shortcut Execution Techniques

  • 0.5 = 50%, 0.25 = 25%, 0.75 = 75%, 0.1 = 10%
  • Multiply by 100 to convert decimal to percentage instantly.
  • Divide by 100 to convert percentage to decimal.
  • For quick fraction conversion, divide numerator by denominator using approximation.

Contextual Inquiries (FAQs)

Q: How are fractions, decimals, and percentages related?

A: They are different representations of the same value and can be converted into each other using simple arithmetic operations.

Q: Are percentage questions important in TU CMAT?

A: Yes, percentage-based questions are one of the most frequently asked topics in CMAT quantitative section.

Q: What is the fastest way to solve percentage problems?

A: Use fraction equivalents and the 100-base method for quick calculation.