DAV Board Class 3 Mathematics (Primary Mathematics) | 100% Authentic Textbook Solutions
DAV Class 3 Maths Unit 11 Solutions Fraction
Get complete, step-by-step textbook solutions for DAV Class 3 Primary Mathematics Unit 11: Fraction. This unit covers all worksheets including fractions as equal parts of a whole (one-half, one-third, one-fourth/quarter, three-fourths), fraction notation ($frac{text{Numerator}}{text{Denominator}}$), reading and writing fractional number names, finding fractional parts of a collection, and shading geometric figures strictly aligned with the DAV CMC syllabus.
| Class | Subject | Textbook | Unit Number & Title | Key Mathematical Concepts |
|---|---|---|---|---|
| Class 3 | Mathematics | Primary Mathematics | Unit 11: Fraction | Equal parts, numerator & denominator, fractional names, fraction of a collection |
Worksheet 1: Understanding Fractions & Equal Parts
Definition: A fraction is a number that represents a part of a whole. A whole can be a single object or a collection of objects divided into strictly equal parts.
| Fraction | Fraction Name | Meaning / Representation |
|---|---|---|
| $mathbf{frac{1}{2}}$ | One-half | 1 part out of 2 equal parts of a whole |
| $mathbf{frac{1}{3}}$ | One-third | 1 part out of 3 equal parts of a whole |
| $mathbf{frac{1}{4}}$ | One-fourth (Quarter) | 1 part out of 4 equal parts of a whole |
| $mathbf{frac{2}{3}}$ | Two-thirds | 2 parts out of 3 equal parts of a whole |
| $mathbf{frac{3}{4}}$ | Three-fourths (Three-quarters) | 3 parts out of 4 equal parts of a whole |
Worksheet 2: Numerator and Denominator
Rule: In any fraction $mathbf{frac{text{Numerator}}{text{Denominator}}}$:
• Numerator (top number): Tells how many equal parts are taken, chosen, or shaded.
• Denominator (bottom number): Tells the total number of equal parts into which the whole is divided.
| Given Fraction | Numerator | Denominator | Fraction in Words |
|---|---|---|---|
| $mathbf{frac{3}{5}}$ | 3 | 5 | Three-fifths |
| $mathbf{frac{5}{8}}$ | 5 | 8 | Five-eighths |
| $mathbf{frac{1}{7}}$ | 1 | 7 | One-seventh |
| $mathbf{frac{4}{9}}$ | 4 | 9 | Four-ninths |
| $mathbf{frac{6}{11}}$ | 6 | 11 | Six-elevenths |
Worksheet 3: Fraction of a Collection (Group of Objects)
Rule: To find a unit fraction of a number, divide the total number by the denominator.
$$mathbf{frac{1}{n} text{ of } A = A div n}$$
Solve the following calculations step-by-step:
- (a) $frac{1}{2} text{ of } 18 = 18 div 2 = mathbf{9}$
- (b) $frac{1}{3} text{ of } 21 = 21 div 3 = mathbf{7}$
- (c) $frac{1}{4} text{ of } 28 = 28 div 4 = mathbf{7}$
- (d) $frac{1}{5} text{ of } 35 = 35 div 5 = mathbf{7}$
- (e) $frac{3}{4} text{ of } 16 = (16 div 4) times 3 = 4 times 3 = mathbf{12}$
- (f) $frac{2}{3} text{ of } 15 = (15 div 3) times 2 = 5 times 2 = mathbf{10}$
Worksheet 4: Word Problems on Fractions (With Statements)
Problem 1: Rohit has 24 color pencils. He gave $frac{1}{4}$ of the pencils to his sister. How many pencils did his sister get?
Solution:
Total pencils = 24
Fraction given to sister = $frac{1}{4}$
Pencils sister received = $frac{1}{4} text{ of } 24 = 24 div 4 = mathbf{6}$
Answer: His sister received 6 pencils.
Problem 2: In a class of 30 students, $frac{1}{2}$ are girls. Find the number of boys in the class.
Solution:
Total students = 30
Number of girls = $frac{1}{2} text{ of } 30 = 30 div 2 = 15$
Number of boys = $30 – 15 = mathbf{15}$
Answer: There are 15 boys in the class.
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