The DAV Class 4 Maths Solutions and DAV Class 4 Maths Chapter 9 Worksheet 4 Solutions of Fractions offer comprehensive answers to textbook questions.
DAV Class 4 Maths Ch 9 WS 4 Solutions
Question 1.
Find if the following pairs of fractions are equivalent.
(a) \(\frac{1}{3}\) and \(\frac{3}{9}\)
Answer:
\(\frac{1}{3}\) and \(\frac{3}{9}\)
1 × 9 = 9
3 × 3 = 9
so, \(\frac{1}{3}=\frac{3}{9}\)
(b) \(\frac{2}{5}\) and \(\frac{8}{25}\)
Answer:
2 × 25 = 50
5 × 8 = 40
so, \(\frac{2}{5} \neq \frac{8}{25}\)
(c) \(\frac{10}{15}\) and \(\frac{2}{3}\)
Answer:
10 × 3 = 30
15 × 2 = 30
so, \(\frac{10}{15}>\frac{2}{3}\)
(d) \(\frac{3}{7}\) and \(\frac{24}{56}\)
Answer:
3 × 56 = 168
7 × 24 = 168
so, \(\frac{3}{7}=\frac{24}{56}\)
(e) \(\frac{1}{10}\) and \(\frac{1}{40}\)
Answer:
10 × 1 = 10
1 × 40 = 40
so, \(\frac{1}{10} \neq \frac{1}{40}\)
(f) \(\frac{3}{4}\) and \(\frac{75}{100}\)
Answer:
3 × 100 = 300
4 × 75 = 300
so, \(\frac{3}{4}=\frac{75}{100}\)
(g) \(\frac{2}{9}\) and \(\frac{18}{81}\)
Answer:
2 × 81 = 162
9 × 18 = 162
so, \(\frac{2}{9}=\frac{18}{81}\)
(h) \(\frac{15}{16}\) and \(\frac{30}{48}\)
Answer:
15 × 48 = 720
16 × 30 = 480
so, \(\frac{15}{16} \neq \frac{30}{48}\)
(i) \(\frac{7}{11}\) and \(\frac{49}{77}\)
Answer:
7 × 77 = 539
11 × 49 = 539
so, \(\frac{7}{11}=\frac{49}{77}\)
Question 2.
Write ‘True’ or ‘False’ for the following:
(a) \(\frac{7}{8}=\frac{35}{40}\)
Answer:
True
7 × 40 = 280
8 × 35 = 280
(b) \(\frac{1}{5}=\frac{8}{50}\)
Answer:
False
1 × 50 = 50
5 × 8 = 40
(c) \(\frac{11}{13}=\frac{22}{26}\)
Answer:
True
11 × 26 = 286
13 × 22 = 286
(d) \(\frac{25}{30}=\frac{5}{6}\)
Answer:
True
25 × 6 = 150
30 × 5 = 150
(e) \(\frac{100}{700}=\frac{10}{70}\)
Answer:
True
100 × 70 = 7000
700 × 10 = 7000
(f) \(\frac{12}{9}=\frac{9}{12}\)
Answer:
False
12 × 12 = 144
9 × 9 = 81
DAV Class 4 Maths Chapter 9 Worksheet 4 Notes
If the cross products of numerator of one and denominator of the other fraction are same, the two fractions are equivalent.
Example:
i.e 3 × 25 = 75
5 × 15 = 75
so, \(\frac{3}{5}=\frac{15}{25}\)