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