Question

How do you multiply \[\dfrac{2}{3} \times 3\]?

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 Solution:
We have to calculate \[\dfrac{2}{3} \times 3\].
First, we are going to solve the denominator and the natural number, and we have
\[\dfrac{1}{3} \times 3 = \dfrac{3}{3} = 1\]

Hence, \[\dfrac{2}{3} \times 3 = 2 \times 1 = 2\]

Note:
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.