DAV Class 5 Maths Chapter 4 Worksheet 11 Solutions

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:
DAV Class 5 Maths Chapter 4 Worksheet 11 Solutions Q1(a)

(b) 2\(\frac{4}{5}\) ÷ 6
Solution:
DAV Class 5 Maths Chapter 4 Worksheet 11 Solutions Q1(b)

(c) 2\(\frac{3}{5}\) ÷ 4
Solution:
DAV Class 5 Maths Chapter 4 Worksheet 11 Solutions Q1(c)

DAV Class 5 Maths Chapter 4 Worksheet 11 Solutions

(d) 18 ÷ \(\frac{3}{4}\)
Solution:
DAV Class 5 Maths Chapter 4 Worksheet 11 Solutions Q1(d)

(e) 20 ÷ 3\(\frac{1}{3}\)
Solution:
DAV Class 5 Maths Chapter 4 Worksheet 11 Solutions Q1(e)

(f) 100 ÷ 33\(\frac{1}{3}\)
Solution:
DAV Class 5 Maths Chapter 4 Worksheet 11 Solutions Q1(f)

(g) \(\frac{4}{5} \div \frac{7}{9}\)
Solution:
DAV Class 5 Maths Chapter 4 Worksheet 11 Solutions Q1(g)

(h) \(2 \frac{2}{3} \div 1 \frac{1}{6}\)
Solution:
DAV Class 5 Maths Chapter 4 Worksheet 11 Solutions Q1(h)

DAV Class 5 Maths Chapter 4 Worksheet 11 Solutions

(i) \(10 \frac{1}{3} \div 4 \frac{1}{2}\)
Solution:
DAV Class 5 Maths Chapter 4 Worksheet 11 Solutions Q1(i)

(j) \(8 \frac{1}{4} \div 3 \frac{5}{8}\)
Solution:
DAV Class 5 Maths Chapter 4 Worksheet 11 Solutions Q1(j)

(k) \(2 \frac{1}{10} \div 1 \frac{2}{5}\)
Solution:
DAV Class 5 Maths Chapter 4 Worksheet 11 Solutions Q1(k)
DAV Class 5 Maths Chapter 4 Worksheet 11 Solutions Q1(k).1

(l) \(6 \frac{3}{5} \div 4 \frac{7}{12}\)
Solution:
DAV Class 5 Maths Chapter 4 Worksheet 11 Solutions Q1(l)

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.
DAV Class 5 Maths Chapter 4 Worksheet 11 Notes Ex 1
This represents \(\frac{3}{8}\)
Let us divide \(\frac{3}{8}\) into 2 equal halves.
DAV Class 5 Maths Chapter 4 Worksheet 11 Notes Ex 1.1
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.

DAV Class 5 Maths Chapter 4 Worksheet 11 Solutions

Example 2.
Divide 3\(\frac{1}{7}\) by 3.
Solution:
DAV Class 5 Maths Chapter 4 Worksheet 11 Notes Ex 2

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

Example 3.
Divide 5 by \(\frac{2}{3}\).
Solution:
DAV Class 5 Maths Chapter 4 Worksheet 11 Notes Ex 3

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 \(\frac{7}{5}\))
= \(\frac{20}{21}\)