The DAV Class 5 Maths Book Solutions Pdf and **DAV Class 5 Maths Chapter 4 Worksheet 6** Solutions of Fractional Numbers offer comprehensive answers to textbook questions.

## DAV Class 5 Maths Ch 4 Worksheet 6 Solutions

Question 1.

Multiply.

(a) \(\frac{1}{3}\) × 2

Solution:

\(\frac{1}{3}\) × 2

= \(\frac{1 \times 2}{3}\)

= \(\frac{2}{3}\)

(Product of whole number and numerator of a fractional number)

(b) \(\frac{5}{8}\) × 9

Solution:

\(\frac{5}{8}\) × 9

= \(\frac{5 \times 9}{8}\)

= \(\frac{45}{8}\)

= 5\(\frac{5}{8}\)

(Product of whole number and numerator of a fractional number)

(c) 4\(\frac{1}{2}\) × 4

Solution:

4\(\frac{1}{2}\) × 4

= \(\frac{9}{2}\) × 4

= \(\frac{9 \times 4}{2}\)

= \(\frac{36}{2}\)

= 18

(d) 9\(\frac{1}{3}\) × 27

Solution:

(Product of whole number and numerator of a fractional number)

(e) 10\(\frac{1}{10}\) × 15

Solution:

(Product of whole number and numerator of a fractional number)

(f) 6 × \(\frac{4}{15}\)

Solution:

(Product of whole number and numerator of a fractional number)

(g) 100 × 3\(\frac{1}{10}\)

Solution:

(Product of whole number and numerator of fractional number)

(h) 52 × 2\(\frac{1}{13}\)

Solution:

(Product of whole number and numerator of fractional number)

(i) 49 × 7\(\frac{1}{7}\)

Solution:

(Product of whole number and numerator of fractional number)

(j) 3\(\frac{5}{8}\) × 32

Solution:

(Product of whole number and numerator of fractional number)

(k) 45 × 2\(\frac{1}{9}\)

Solution:

(Product of whole number and numerator of fractional number)

(l) 50 × \(\frac{17}{15}\)

Solution:

(Product of whole number and numerator of fractional number)

**DAV Class 5 Maths Chapter 4 Worksheet 6 Notes**

Example 1.

Multiply 4 and \(\frac{1}{5}\)

Solution:

It means we have to find what is 4 times \(\frac{1}{5}\)

We know multiplication is repeated addition.

Therefore \(4 \times \frac{1}{5}=\frac{1}{5}+\frac{1}{5}+\frac{1}{5}+\frac{1}{5}=\frac{4}{5}\)

Let us take rectangular strip of paper divided into 5 equal parts.

Therefore, 4 × \(\frac{1}{5}\) or we can use the quick method

4 × \(\frac{1}{5}\) = \(\frac{4 \times 1}{5}\) = \(\frac{4}{5}\)

Example 2.

Multiply \(\frac{1}{2}\) and 3.

Solution:

Let us consider a rectangle divided into 3 equal parts.

We further divide these 3 parts into 6 equal parts.

\(\frac{1}{2}\) of 6 parts will be 3 equal parts (shaded portion)

Thus \(\frac{1}{2}\) of 3 will be \(\frac{3}{2}\) (three out of 2 equal parts)

Thus \(\frac{1}{2}\) of 3 = \(\frac{3}{2}\)

or \(\frac{1}{2}\) × 3 = \(\frac{1 \times 3}{2}\) = \(\frac{3}{2}\)

Combining the two results we get

3 × \(\frac{1}{2}\) = \(\frac{1}{2}\) × 3 = \(\frac{3}{2}\)

Example 3.

Multiply \(\frac{2}{7}\) and 3.

Solution:

3 × \(\frac{2}{7}\) = \(\frac{2 \times 3}{7}\) = \(\frac{6}{7}\)

(Product of whole number and numerator of a fractional number)

Remember: In order to get the product of whole number and a fractional number, we multiply the whole number and numerator of the fractional number. Denominator remains the same.