Multiplication in real - life context:
\(\text{Multiplication}\) is an arithmetic operation that is known as a \(\text{repeated addition}\).
Multiplying a fraction by a whole number:
Multiplying a \(\text{fraction}\) by a \(\text{whole number}\) is nothing but a \(\text{repeated addition}\) of that particular fraction.
It is a reverse case of multiplying a whole number by a fraction, in both ways we will get the same solution. The order of multiplication does not matter.
Example:
It take pet cat to run \(\frac{1}{3}\) \(\text{km}\) in \(\) \(\text{hour}\). How far can it run in \(4\) \(\text{hours}\)?
Solution:
It is given that,
It take pet cat to run \(\frac{1}{3}\) \(\text{km}\) in \(1\) \(\text{hour}\)
Here the distance covered in an hour is in fraction.
The total distance covered in same way as multiplication.
Distance covered in \(1\) \(\text{hour}\) \(=\) \(\frac{1}{3}\) \(\text{km}\)
Therefore, the distance covered in \(4\) \(\text{hours}\)
\(= \frac{1}{3} \times 4\)
\(=\) \(\frac{1}{3}+\frac{1}{3}+\frac{1}{3}+\frac{1}{3}\)
\(=\) \(\frac{4}{3}\)
Answer:
The cat can run \(\frac{4}{3}\) \(\text{km}\) in \(4\) \(\text{hours}\).