The DAV Class 5 Maths Book Solutions Pdf and DAV Class 5 Maths Chapter 4 Worksheet 7 Solutions of Fractional Numbers offer comprehensive answers to textbook questions.
DAV Class 5 Maths Ch 4 Worksheet 7 Solutions
Question 1.
Multiply the following fractional numbers.
(a) \(\frac{2}{3} \times \frac{4}{5}\)
Solution:
(b) \(\frac{4}{7} \times \frac{1}{3}\)
Solution:
(c) \(\frac{3}{8} \times \frac{5}{11}\)
Solution:
(d) \(\frac{2}{5} \times \frac{15}{16}\)
Solution:
(e) \(3 \frac{1}{4} \times \frac{8}{9}\)
Solution:
(f) \(7 \frac{1}{2} \times 8 \frac{1}{3}\)
Solution:
(g) \(2 \frac{2}{5} \times \frac{2}{15}\)
Solution:
(h) \(\frac{6}{7} \times 3 \frac{1}{2}\)
Solution:
(i) \(\frac{1}{10} \times \frac{2}{3} \times \frac{5}{8}\)
Solution:
(j) \(1 \frac{2}{5} \times \frac{4}{21}\)
Solution:
(k) \(5 \frac{5}{6} \times 2 \frac{1}{7}\)
Solution:
(l) \(\frac{4}{5} \times \frac{7}{8} \times \frac{24}{35}\)
Solution:
DAV Class 5 Maths Chapter 4 Worksheet 7 Notes
Example 1.
Find \(\frac{3}{4}\) of \(\frac{1}{2}\).
Solution:
Consider a rectangle. Make it half. Divide each part into four equal parts.
We want to find out \(\frac{3}{4}\) of \(\frac{1}{2}\). So we shade three parts of four parts of the half.
The shaded portion is \(\frac{3}{8}\) of the whole.
Hence, \(\frac{3}{4}\) of \(\frac{1}{2}\) is \(\frac{3}{8}\).
Example 2.
Let us multiply \(\frac{1}{5}\) of \(\frac{2}{7}\).
Solution:
\(\frac{1}{5} \times \frac{2}{7}=\frac{1 \times 2}{5 \times 7}\) = \(\frac{2}{35}\)
(Multiply the numerator separately 35 Multiply the denominator separately)
Example 3.
Multiply \(2 \frac{2}{5}\) and \(8 \frac{1}{2}\)
Solution:
Example 4.
Multiply \(\frac{1}{5}\), \(\frac{5}{7}\) and \(\frac{2}{3}\).
Solution:
Remember: In order to multiply two fractional numbers, we multiply the numerators and the denominators separately.