Parts and Wholes
Gujarat Board · Class 5 · Math - Magic
Quick revision notes for Parts and Wholes — Gujarat Board Class 5 Math - Magic. Key concepts, formulas, and definitions for last-minute revision.
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Key Topics to Revise
Understanding Fractions – The Basics
- A fraction has two parts: the top number is called the NUMERATOR and the bottom number is called the DENOMINATOR.
- The denominator tells us into how many EQUAL parts the whole is divided.
- The numerator tells us how many of those equal parts we are talking about.
Fractions of a Number or Group
- To find a fraction of a number, DIVIDE the number by the denominator first, then MULTIPLY by the numerator.
- Example: 1/4 of 12 chocolates = 12 ÷ 4 = 3 chocolates.
- Example: 2/3 of 12 = (12 ÷ 3) × 2 = 4 × 2 = 8.
Equivalent Fractions
- Equivalent fractions are different fractions that represent the SAME amount.
- Example from Cutting the Halwa: 1/2 = 2/4 = 4/8 = 3/6 = 5/10. All these show the same quantity – half of the whole.
- From the coloured circles activity: 1/2 = 2/4 = 3/6 = 4/8.
Comparing Fractions
- When denominators are the SAME: the fraction with the bigger numerator is larger. Example: 3/8 > 2/8.
- When numerators are the SAME: the fraction with the SMALLER denominator is larger. Example: 1/3 > 1/4 because thirds are bigger pieces than fourths.
- When comparing to 1/2: if numerator is more than half of denominator, the fraction is more than 1/2.
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