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