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:

Answer:

Answer:

Answer:

Answer: