The DAV Class 5 Maths Book Solutions Pdf and **DAV Class 5 Maths Chapter 4 Worksheet 11** Solutions of Fractional Numbers offer comprehensive answers to textbook questions.

## DAV Class 5 Maths Ch 4 Worksheet 11 Solutions

Question 1.

Divide.

(a) \(\frac{1}{5}\) ÷ 3

Solution:

(b) 2\(\frac{4}{5}\) ÷ 6

Solution:

(c) 2\(\frac{3}{5}\) ÷ 4

Solution:

(d) 18 ÷ \(\frac{3}{4}\)

Solution:

(e) 20 ÷ 3\(\frac{1}{3}\)

Solution:

(f) 100 ÷ 33\(\frac{1}{3}\)

Solution:

(g) \(\frac{4}{5} \div \frac{7}{9}\)

Solution:

(h) \(2 \frac{2}{3} \div 1 \frac{1}{6}\)

Solution:

(i) \(10 \frac{1}{3} \div 4 \frac{1}{2}\)

Solution:

(j) \(8 \frac{1}{4} \div 3 \frac{5}{8}\)

Solution:

(k) \(2 \frac{1}{10} \div 1 \frac{2}{5}\)

Solution:

(l) \(6 \frac{3}{5} \div 4 \frac{7}{12}\)

Solution:

**DAV Class 5 Maths Chapter 4 Worksheet 11 Notes**

I. Division of a fractional number by a whole number.

Example 1.

Divide \(\frac{3}{8}\) by 2.

Solution:

Look at the figure.

This represents \(\frac{3}{8}\)

Let us divide \(\frac{3}{8}\) into 2 equal halves.

This represents \(\frac{3}{16}\)

∴ \(\frac{3}{8}\) ÷ 2 = \(\frac{3}{16}\)

In another manner

\(\frac{3}{8} \div 2=\frac{3}{8} \times \frac{1}{2}=\frac{3}{16}\)

So, dividing \(\frac{3}{8}\) by 2 actually means multiplying \(\frac{3}{8}\) with the reciprocal of 2 i.e., \(\frac{1}{2}\).

Important Note: To divide first change the division sign to the multiplication sign and multiply by the reciprocal of the divisor.

Example 2.

Divide 3\(\frac{1}{7}\) by 3.

Solution:

II. Division of a whole number by a fractional number.

Example 3.

Divide 5 by \(\frac{2}{3}\).

Solution:

III. Division of a fractional number by another fractional number.

Example 4.

Divide \(\frac{4}{3}\) by \(\frac{7}{5}\).

Solution:

\(\frac{4}{3} \div \frac{7}{5}\)

Here, dividend = \(\frac{4}{3}\), divisor = \(\frac{7}{5}\)

= \(\frac{4}{3} \times \frac{5}{7}\) (Multiplying by the reciprocal of divisor \(\frac{7}{5}\))

= \(\frac{20}{21}\)