CBSE Class 3 Mathematics Fractions Worksheet Set 04

Page 1

Question 1. Fill in the blanks:-
1. Part of a whole is called a ___________.
2. The number above the bar is called ___________.
3. The number below the bar is called ___________.
4. Fractions having same denominators are ___________ fractions.
5. If two fractions have the same denominator, then the fraction with greater numerator is ___________ fraction.
6. If two fractions have the same numerator, then the fraction with smaller denominator is ___________ fraction.
7. Sum of fractions having same denominator is ___________.
8. Difference between two fractions having same denominator is ___________.
9. \( \frac{5}{9} \ \square\ \frac{2}{9} \)
10. \( \frac{6}{11} \ \square\ \frac{6}{11} \)
Answer:
1. fraction
2. numerator
3. denominator
4. like
5. greater
6. greater
7. \( \frac{\text{sum of their numerators}}{\text{common denominator}} \)
8. \( \frac{\text{difference of their numerators}}{\text{common denominator}} \)
9. \( > \)
10. \( = \)
In simple words: This section introduces basic fraction terms, like the numerator (top number) and denominator (bottom number), as well as rules for comparing and adding like fractions.

Exam Tip: Remember that when fractions have the same numerator, the one with the smaller denominator is actually the larger fraction because the whole is divided into fewer, larger pieces.

Page 2

Question 2. In how many parts are figures divided ?
(a)
(b)
(c)
(d)
Answer:
(a) 6 parts
(b) 4 parts
(c) 2 parts
(d) 3 parts
In simple words: We find how many parts a shape is divided into by counting all the equal sections inside it.

Exam Tip: Always make sure the parts are of equal size before counting them as fractional parts of a shape.

Question 3. Give the fraction for the Shaded part of each:-
(a)
(b)
(c)
(d)
(e)
(f)
Answer:
(a) \( \frac{1}{4} \)
(b) \( \frac{2}{3} \)
(c) \( \frac{2}{4} \) (or \( \frac{1}{2} \))
(d) \( \frac{3}{8} \)
(e) \( \frac{2}{5} \)
(f) \( \frac{1}{4} \)
In simple words: To write a fraction for the shaded part, count the colored pieces for the top number and all the equal pieces together for the bottom number.

Exam Tip: Count carefully so you do not miss any unshaded parts when writing the denominator at the bottom.

Question 4. Shade the portion indicated in each figure:-
(a) \( \frac{5}{6} \)
(b) \( \frac{1}{3} \)
(c) \( \frac{5}{8} \)
(d) \( \frac{1}{4} \)
(e) \( \frac{2}{4} \)
(f) \( \frac{4}{5} \)
Answer:
(a) Shade 5 out of the 6 equal triangles.
(b) Shade 1 out of the 3 equal sectors.
(c) The grid has 16 squares, so we shade: \( 16 \times \frac{5}{8} = 10 \) squares.
(d) Shade 1 out of the 4 equal squares.
(e) Shade 2 out of the 4 equal vertical bars.
(f) Shade 4 out of the 5 equal horizontal bands.
In simple words: Shading means coloring in the number of parts shown by the top number of the fraction.

Exam Tip: If the figure has more parts than the denominator (like the 16 squares in c), multiply the total parts by the fraction to find how many parts to color.

Question 5. Shade the fraction of each:-
(a) \( \frac{3}{6} \)
(b) \( \frac{4}{8} \)
(c) \( \frac{6}{12} \)
Answer:
(a) Shade 3 out of 6 ovals.
(b) Shade 4 out of 8 triangles.
(c) Shade 6 out of 12 rectangles.
In simple words: We find a fraction of a group by coloring the exact number of objects given by the top number.

Exam Tip: This is also called finding a fraction of a collection. Simply count and color only the number of items shown in the numerator.

Page 3

Question 6. Write the fraction whose:-
(a) Numerator = 5, Denominator = 7 [ ]
(b) Numerator = 1, Denominator = 9 [ ]
(c) Numerator = 4, Denominator = 7 [ ]
(d) Numerator = 4, Denominator = 9 [ ]
Answer:
(a) \( \frac{5}{7} \)
(b) \( \frac{1}{9} \)
(c) \( \frac{4}{7} \)
(d) \( \frac{4}{9} \)
In simple words: To write the fraction, place the numerator on top and the denominator below the line.

Exam Tip: Keep the numerator at the top and the denominator at the bottom. Do not swap their places.

Question 7. Put the correct sign (<, > or =) in each:-
(a) \( \frac{1}{3} \ \square\ \frac{1}{3} \)
(b) \( \frac{2}{89} \ \square\ \frac{18}{89} \)
(c) \( \frac{2}{4} \ \square\ \frac{2}{4} \)
(d) \( \frac{11}{17} \ \square\ \frac{6}{17} \)
(e) \( \frac{1}{13} \ \square\ \frac{6}{13} \)
(f) \( \frac{3}{7} \ \square\ \frac{9}{7} \)
Answer:
(a) \( = \)
(b) \( < \)
(c) \( = \)
(d) \( > \)
(e) \( < \)
(f) \( < \)
In simple words: When denominators are the same, compare the top numbers. The fraction with the larger top number is the greater one.

Exam Tip: If both the numerators and denominators are identical, the fractions are equal, so use the '=' sign.

Question 8. Colour one half
(a)
(b)
(c)
(d)
(d)
Answer:
(a) Color 4 out of 8 squares.
(b) Color 6 out of 12 circles.
(c) Color 3 out of 6 rectangles.
(d) Color 4 out of 8 capsules.
(d) Color 2 out of 4 ovals.
In simple words: One half means dividing a group of things into two equal parts and coloring one of those parts.

Exam Tip: To find half of any number of items, simply divide that total number by 2.

Question 9. Colour One third:-
(a)
(b)
(c)
Answer:
(a) Color 3 out of 9 ovals.
(b) Color 4 out of 12 squares.
(c) Color 5 out of 15 circles.
In simple words: One third means dividing a group of objects into three equal parts and coloring one of those parts.

Exam Tip: To find one third of a collection, divide the total number of objects by 3.

Page 4

Question 10. Colour one fourth
(a)
(b)
(c)
(d)
(e)
Answer:
(a) Color 2 out of 8 squares.
(b) Color 1 out of 4 rectangles.
(c) Color 4 out of 16 circles.
(d) Color 3 out of 12 squares.
(e) Color 5 out of 20 circles.
In simple words: One fourth means dividing a group of objects into four equal parts and coloring one of those parts.

Exam Tip: To find one fourth of a collection, divide the total number of items by 4.

Question 11. Solve the following:-
(i) \( \frac{1}{4} \) of 36 = ___________
(ii) \( \frac{1}{3} \) of 9 = ___________
(iii) \( \frac{1}{2} \) of 10 = ___________
(iv) \( \frac{1}{6} \) of 12 = ___________
(v) \( \frac{1}{5} \) of 25 = ___________
(vi) \( \frac{1}{7} \) of 49 = ___________
(viii) \( \frac{1}{2} \) of 44 = ___________
(ix) \( \frac{1}{3} \) of 12 = ___________
(x) \( \frac{1}{4} \) of 8 = ___________
Answer:
(i) 9
(ii) 3
(iii) 5
(iv) 2
(v) 5
(vi) 7
(viii) 22
(ix) 4
(x) 2
In simple words: To find a fraction of a number, divide the number by the denominator at the bottom.

Exam Tip: For unit fractions (where the top number is 1), finding the fraction of a number is just dividing the number by the bottom digit.