The DAV Class 5 Maths Book Solutions Pdf and **DAV Class 5 Maths Chapter 4 Worksheet 8** Solutions of Fractional Numbers offer comprehensive answers to textbook questions.

## DAV Class 5 Maths Ch 4 Worksheet 8 Solutions

Question 1.

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**DAV Class 5 Maths Chapter 4 Worksheet 8 Notes**

I. If two fractional numbers are multiplied in either order, the product remains the same.

E.g., Multiply two fractional numbers \(\frac{1}{5} \times \frac{2}{7}\)

\(\frac{1}{5} \times \frac{2}{7}\)

= \(\frac{2 \times 1}{7 \times 5}\)

= \(\frac{2}{35}\)

Let us interchange the places of fractional numbers.

\(\frac{2}{7} \times \frac{1}{5}\)

= \(\frac{2 \times 1}{7 \times 5}\)

= \(\frac{2}{35}\)

We observe that the product in both cases is the same.

\(\frac{1}{5} \times \frac{2}{7}=\frac{2}{7} \times \frac{1}{5}\)

II. Multiplication of a fractional number by 1.

If a fractional number is multiplied by one the product is the fractional number itself.

E.g., Find \(\frac{5}{3}\) × 1

\(\frac{5}{3}\) × 1

= \(\frac{5 \times 1}{3}\)

= \(\frac{5}{3}\)

III. Multiplication of a fractional number by 0.

If a fractional number is multiplied by zero, the product is zero.

E.g., \(\frac{3}{11}\) × 0 = ?

\(\frac{3}{11}\) × 0

= \(\frac{3 \times 0}{11}\)

= 0

IV. Multiplication of three fractional numbers.

If three fractional numbers are multiplied in any order, the product remains the same.

E.g., What is product of \(\frac{1}{3} \times \frac{1}{5} \times \frac{5}{4}\) when grouping are changed?

\(\left(\frac{1}{3} \times \frac{1}{5}\right) \times \frac{5}{4}\) = \(\frac{1}{15} \times \frac{5}{4}\) = \(\frac{1}{12}\)

Again when grouping is changed.

\(\frac{1}{3} \times\left(\frac{1}{5} \times \frac{5}{4}\right)\) = \(\frac{1}{3} \times \frac{5}{20}\) = \(\frac{1}{12}\)