The DAV Class 5 Maths Book Solutions Pdf and DAV Class 5 Maths Chapter 4 Worksheet 6 Solutions of Fractional Numbers offer comprehensive answers to textbook questions.
DAV Class 5 Maths Ch 4 Worksheet 6 Solutions
Question 1.
Multiply.
(a) \(\frac{1}{3}\) × 2
Solution:
\(\frac{1}{3}\) × 2
= \(\frac{1 \times 2}{3}\)
= \(\frac{2}{3}\)
(Product of whole number and numerator of a fractional number)
(b) \(\frac{5}{8}\) × 9
Solution:
\(\frac{5}{8}\) × 9
= \(\frac{5 \times 9}{8}\)
= \(\frac{45}{8}\)
= 5\(\frac{5}{8}\)
(Product of whole number and numerator of a fractional number)
(c) 4\(\frac{1}{2}\) × 4
Solution:
4\(\frac{1}{2}\) × 4
= \(\frac{9}{2}\) × 4
= \(\frac{9 \times 4}{2}\)
= \(\frac{36}{2}\)
= 18
(d) 9\(\frac{1}{3}\) × 27
Solution:
(Product of whole number and numerator of a fractional number)
(e) 10\(\frac{1}{10}\) × 15
Solution:
(Product of whole number and numerator of a fractional number)
(f) 6 × \(\frac{4}{15}\)
Solution:
(Product of whole number and numerator of a fractional number)
(g) 100 × 3\(\frac{1}{10}\)
Solution:
(Product of whole number and numerator of fractional number)
(h) 52 × 2\(\frac{1}{13}\)
Solution:
(Product of whole number and numerator of fractional number)
(i) 49 × 7\(\frac{1}{7}\)
Solution:
(Product of whole number and numerator of fractional number)
(j) 3\(\frac{5}{8}\) × 32
Solution:
(Product of whole number and numerator of fractional number)
(k) 45 × 2\(\frac{1}{9}\)
Solution:
(Product of whole number and numerator of fractional number)
(l) 50 × \(\frac{17}{15}\)
Solution:
(Product of whole number and numerator of fractional number)
DAV Class 5 Maths Chapter 4 Worksheet 6 Notes
Example 1.
Multiply 4 and \(\frac{1}{5}\)
Solution:
It means we have to find what is 4 times \(\frac{1}{5}\)
We know multiplication is repeated addition.
Therefore \(4 \times \frac{1}{5}=\frac{1}{5}+\frac{1}{5}+\frac{1}{5}+\frac{1}{5}=\frac{4}{5}\)
Let us take rectangular strip of paper divided into 5 equal parts.
Therefore, 4 × \(\frac{1}{5}\) or we can use the quick method
4 × \(\frac{1}{5}\) = \(\frac{4 \times 1}{5}\) = \(\frac{4}{5}\)
Example 2.
Multiply \(\frac{1}{2}\) and 3.
Solution:
Let us consider a rectangle divided into 3 equal parts.
We further divide these 3 parts into 6 equal parts.
\(\frac{1}{2}\) of 6 parts will be 3 equal parts (shaded portion)
Thus \(\frac{1}{2}\) of 3 will be \(\frac{3}{2}\) (three out of 2 equal parts)
Thus \(\frac{1}{2}\) of 3 = \(\frac{3}{2}\)
or \(\frac{1}{2}\) × 3 = \(\frac{1 \times 3}{2}\) = \(\frac{3}{2}\)
Combining the two results we get
3 × \(\frac{1}{2}\) = \(\frac{1}{2}\) × 3 = \(\frac{3}{2}\)
Example 3.
Multiply \(\frac{2}{7}\) and 3.
Solution:
3 × \(\frac{2}{7}\) = \(\frac{2 \times 3}{7}\) = \(\frac{6}{7}\)
(Product of whole number and numerator of a fractional number)
Remember: In order to get the product of whole number and a fractional number, we multiply the whole number and numerator of the fractional number. Denominator remains the same.