Mathematics · Class 5
Parts and Wholes
Learn Parts and Wholes with notes, examples, and practice questions.
3 sections15–25 min read3 MCQs · 1 examples
Chapter Overview
Equivalent fractions name the same amount; multiply or divide numerator and denominator by the same non-zero number.
Parts and Wholes extends fractions to equivalent forms, comparison, and fractions of quantities. Learners interpret numerator and denominator and use visual models or common denominators.
Understanding Fractions
- The denominator gives the number of equal parts in one whole.
- The numerator counts selected parts.
- Fractions such as 1/2, 2/4, and 4/8 are equivalent.
- For equal denominators, the greater numerator gives the greater fraction.
Fractions of Quantities
- To find 1/n of a number, divide by n.
- To find a/b of a number, divide by b and multiply by a.
- Use equivalent fractions with a common denominator to compare unlike fractions.
- The same whole must be used when comparing shaded fractions.
Solved Examples
Step-by-step solutions — read each step before checking the final answer.
Find Three-Fifths
What is 3/5 of 40?
- 1Divide by the denominator: 40 ÷ 5 = 8.
- 2Multiply by the numerator: 8 × 3 = 24.
- 3So three of the five equal shares total 24.
Answer
24
Key Points to Remember
- ✓ Fractions are equal parts of a whole
- ✓ Equivalent fractions have equal value
- ✓ Divide by denominator then multiply by numerator
- ✓ Use a common denominator to compare
Exam Tips
- • Check that the whole is divided equally
- • Simplify only by dividing both terms equally
- • Draw fraction bars when comparison is unclear
Practice MCQs — Parts and Wholes
Test your understanding with topic-wise multiple choice questions. Explanations appear after each answer.
Question 1 of 3Score: 0/0
Which fraction is equivalent to 3/4?