The DAV Class 4 Maths Solutions and DAV Class 4 Maths Chapter 9 Brain Teasers Solutions of Fractions offer comprehensive answers to textbook questions.
DAV Class 4 Maths Ch 9 Brain Teasers Solutions
Question 1.
Tick (✓) the correct answer.
(a) Which of the following is a proper fraction?
(i) \(\frac{17}{19}\)
(ii) \(\frac{15}{14}\)
(iii) \(\frac{13}{9}\)
(iv) \(\frac{18}{17}\)
Answer:
(i) \(\frac{17}{19}\)
(b) Fraction whose numerator is greater than the denominator is called ___________ fraction.
(i) Unit
(ii) Proper
(iii) Improper
(iv) Mixed
Answer:
(iii) Improper
(c) 7\(\frac{1}{5}\) written as an improper fraction is ___________
(i) \(\frac{5}{36}\)
(ii) \(\frac{36}{5}\)
(iii) \(\frac{71}{5}\)
(iv) \(\frac{5}{71}\)
Answer:
(ii) \(\frac{36}{5}\)
(d) Tick (✓) the missing numerator in
(i) 10
(ii) 18
(iii) 8
(iv) 38
Answer:
(ii) 18
(e) Which of the following is not equivalent to \(\frac{3}{7}\)?
(i) \(\frac{6}{14}\)
(ii) \(\frac{30}{70}\)
(iii) \(\frac{12}{20}\)
(iv) \(\frac{15}{35}\)
Answer:
(iii) \(\frac{12}{20}\)
Question 2.
Fill in the blanks.
(a) \(\frac{5}{6}\) is a ___________ fraction.
Answer:
Proper
(b) 3\(\frac{1}{7}\) is a ___________ number.
Answer:
Mixed.
(c) \(\frac{19}{7}\) is an ___________ fraction.
Answer:
Improper
(d) \(\frac{1}{8}, \frac{1}{3}\) and \(\frac{1}{16}\) are ___________ fractions.
Answer:
Unit
(e) Fractions whose denominators are same are called ___________ fractions.
Answer:
Like
Question 3.
Write the next three equivalent fractions.
(a) \(\frac{2}{6}, \frac{4}{12}, \frac{6}{18}\), ___________, ___________, ___________ , ___________
Answer:
2 × 4 = 8 The next no. = \(\frac{8}{24}\)
6 × 4 = 24
Then \(\frac{5}{40}, \frac{6}{48}\)
\(\frac{8}{24}, \frac{10}{30}, \frac{12}{36}\)
(b) \(\frac{1}{8}, \frac{2}{16}, \frac{3}{24}\), ___________, ___________, ___________ , ___________
Answer:
1 × 4 = 4
8 × 4 = 32
The next no. = \(\frac{4}{32}\)
Then \(\frac{5}{40}, \frac{6}{48}\)
\(\frac{4}{32}, \frac{5}{40}, \frac{6}{48}\)
Question 4.
Find the missing numerator or denominator.
Answer:
Answer:
Answer:
Answer:
Question 5.
Complete the pattern:
(a) \(\frac{1}{4}, \frac{1}{16}, \frac{1}{64}\), ___________, ___________
Answer:
\(\frac{1}{256}, \frac{1}{1024}\)
(b) 1, \(\frac{2}{3}, \frac{4}{9}, \frac{8}{27}\), ___________, ___________
Answer:
\(\frac{16}{81}, \frac{32}{243}\)
Additional Questions
Question 1.
For each of following figure write the fraction.
Answer:
(a) \(\frac{4}{12}\)
(b) \(\frac{3}{8}\)
(c) \(\frac{6}{12}\)
Question 2.
Find equivalent fraction.
(a) \(\frac{2}{3}, \frac{12}{18}\)
Answer:
2 × 18 = 36
3 × 12 = 36
So, \(\frac{2}{3}=\frac{12}{18}\)
(b) \(\frac{5}{3}, \frac{15}{9}\)
Answer:
5 × 9 = 45
3 × 15 = 45
So, \(\frac{5}{3}=\frac{15}{9}\)
(c) \(\frac{2}{5}, \frac{10}{20}\)
Answer:
2 × 20 = 40
5 × 10 = 50
So, \(\frac{2}{5} \neq \frac{10}{20}\)
(d) \(\frac{3}{7}, \frac{12}{35}\)
Answer:
3 × 35 = 75
7 × 12 = 84
So, \(\frac{3}{7} \neq \frac{12}{35}\)
Question 3.
Name each pair of the fraction.
(i) \(\frac{2}{15}, \frac{7}{15}\)
Answer:
Like fraction, proper fraction.
(ii) \(\frac{1}{3}, \frac{2}{5}\)
Answer:
Unlike fraction, proper fraction.
(iii) \(\frac{1}{7}, \frac{1}{5}\)
Answer:
Unit fraction.
(iv) \(\frac{9}{6}, \frac{8}{3}\)
Answer:
Improper fraction, unlike fraction
(v) 3\(\frac{1}{2}\), 4\(\frac{1}{5}\)
Answer:
Mixed number.
(vi) \(\frac{3}{5}, \frac{1}{3}\)
Answer:
Unlike fraction, proper fraction.
Question 4.
Change the following into mixed number.
(a) \(\frac{56}{12}\)
Answer:
\(\frac{56}{12}\)
= 56 ÷ 12
= 4\(\frac{8}{12}\)
(b) \(\frac{67}{11}\)
Answer:
\(\frac{67}{11}\)
= 67 ÷ 11
= 6\(\frac{1}{11}\)
(c) \(\frac{73}{9}\)
Answer:
\(\frac{73}{9}\)
= 73 ÷ 9
= 8\(\frac{1}{9}\)
(d) \(\frac{54}{7}\)
Answer:
\(\frac{54}{7}\)
= 54 ÷ 7
= 7\(\frac{5}{7}\)
Question 5.
Find the missing numerator or denominator.
Answer:
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