Fractions and Decimals
Overview
Fractions and decimals form the backbone of arithmetic competency at the primary level. For CG TET Paper I, this topic tests both your conceptual understanding and your ability to teach these ideas to Classes I–V students. Questions typically involve performing operations (addition, subtraction, multiplication, division) on fractions and decimals, converting between the two forms, and understanding word problems.
Mastery here is non-negotiable because fractions and decimals connect directly to percentage, ratio-proportion, and measurement—topics that appear throughout the syllabus. Expect 3–5 questions combining direct calculations with pedagogical scenarios (e.g., "Which teaching aid best explains equivalent fractions?").
Your goal: perform operations quickly and accurately, spot common student errors, and know age-appropriate teaching strategies.
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Key Concepts
- **Fraction as part of a whole**: A fraction a/b means 'a' equal parts out of 'b' total equal parts. The denominator tells how many parts the whole is divided into; the numerator tells how many parts are taken.
- **Types of fractions**: Proper (numerator < denominator), Improper (numerator ≥ denominator), Mixed (whole number + proper fraction). Example: 3/4 is proper; 7/4 is improper; 1¾ is mixed.
- **Equivalent fractions**: Fractions that represent the same value. Multiply or divide both numerator and denominator by the same non-zero number. Example: 2/3 = 4/6 = 6/9.