The DAV Class 5 Maths Book Solutions Pdf and DAV Class 5 Maths Chapter 4 Worksheet 10 Solutions of Fractional Numbers offer comprehensive answers to textbook questions.
DAV Class 5 Maths Ch 4 Worksheet 10 Solutions
Question 1.
Find the reciprocals of the following:
(a) \(\frac{2}{3}\)
Solution:
To make the reciprocal of a given fraction, we interchange the numerator and the denominator.
\(\frac{2}{3}=\frac{3}{2}\)
(Interchanging numerator and denominator)
(b) \(\frac{5}{12}\)
Solution:
\(\frac{5}{12}=\frac{12}{5}\)
(Interchanging numerator and denominator)
(c) \(\frac{1}{12}\)
Solution:
\(\frac{1}{12}\) = \(\frac{12}{1}\) = 12
(Interchanging numerator and denominator)
(d) \(\frac{1}{18}\)
Solution:
\(\frac{1}{18}\) = \(\frac{18}{1}\) = 18
(Interchanging numerator and denominator)
(e) 1
Solution:
1 = \(\frac{1}{1}\) = 1
(Interchanging numerator and denominator)
(f) 8
Solution:
8 = \(\frac{1}{8}\)
(Interchanging numerator and denominator)
(g) 5\(\frac{2}{3}\)
Solution:
5\(\frac{2}{3}\) = \(\frac{17}{3}\) = \(\frac{3}{17}\)
(Interchanging numerator and denominator)
(h) 33\(\frac{1}{3}\)
Solution:
33\(\frac{1}{3}\) = \(\frac{100}{3}\) = \(\frac{3}{100}\)
(Interchanging numerator and denominator)
(i) 3\(\frac{5}{8}\)
Solution:
3\(\frac{5}{8}\) = \(\frac{29}{8}\) = \(\frac{8}{29}\)
(Interchanging numerator and denominator)
Question 2.
State whether these are reciprocals of each other.
(a) \(\frac{1}{2}\), 2
Solution:
Yes
(b) \(\frac{3}{2}\), \(\frac{3}{2}\)
Solution:
No
(c) \(\frac{5}{9}\), \(\frac{9}{5}\)
Solution:
Yes
(d) \(\frac{4}{11}\), \(\frac{3}{11}\)
Solution:
No
(e) 5\(\frac{1}{3}\), \(\frac{16}{3}\)
Solution:
No
(f) \(\frac{2}{3}\), 1\(\frac{1}{2}\)
Solution:
Yes
Question 3.
Fill in the blanks.
(a) \(\frac{1}{8}\) × _______ = 1
Solution:
8
(b) \(\frac{1}{3}\) × 3 = _________
Solution:
1
(c) \(\frac{5}{11}\) × ______ = 1
Solution:
\(\frac{11}{5}\) or 2\(\frac{1}{5}\)
(d) _____ × \(\frac{6}{13}\) = 1
Solution:
\(\frac{13}{6}\) or 2\(\frac{1}{6}\)
(e) _____ × 3\(\frac{1}{3}\) = 1
Solution:
\(\frac{3}{10}\)
(f) 7\(\frac{1}{3}\) × ______ = 1
Solution:
\(\frac{3}{22}\)
DAV Class 5 Maths Chapter 4 Worksheet 10 Notes
If we interchange the numerator and the denominator, we get the reciprocal of the given fraction.
When we multiply reciprocals, the product is one.
E.g., Multiply and find the product of 3 and \(\frac{1}{3}\)
i.e., 3 × \(\frac{1}{3}\) = \(\frac{3}{1} \times \frac{1}{3}\)
= \(\frac{3 \times 1}{1 \times 3}\)
= \(\frac{3}{3}\)
= 1