Question

How do you multiply \[3 \times \dfrac{3}{5}\]?

Answer 1

Hint:
In the given question, we have been asked to calculate the product of two rational numbers – one is a fraction and the other is a natural number. When doing questions of such type, the first thing to do is check if the natural number and the denominator of the fraction have common factors. If they do, reduce it to the lowest term, i.e., cancel out all the common factors. Then multiply normally.

Complete step by step answer:
We have to calculate \[3 \times \dfrac{3}{5}\].
First, we are going to solve the denominator and the natural number, and we have
\[3 \times \dfrac{1}{5} = \dfrac{3}{5}\]

Hence, \[\dfrac{3}{5} \times 3 = \dfrac{9}{5} = 1\dfrac{4}{5}\]

Note:
So, for solving questions of such type, we first write what has been given to us. Then we write down what we have to find. Then we write the formula which connects the two things. Here, we must pay close attention when we are reducing the denominator and the natural number part. We should not divide the numbers twice – once divided, they are not to be repeated.