Question

What fraction of an hour is 30 minutes?

Answer 1

Hint: We are asked to find what fraction of an hour is 30 minutes. We know that 1 hour is comprised of 60 minutes so from the unitary method we can say that 1 minute contains ${\displaystyle \frac{1}{60}}$ hours so 30 minutes contain ${\displaystyle \frac{30}{60}}$ hours or simplifying this fraction will give ${\displaystyle \frac{1}{2}}$ hour. Hence, 30 minutes is one half of an hour.

Complete step-by-step answer:
We are asked to find what fraction of an hour is 30 minutes so we need to know the relation between hour and minutes.
We know that 1 hour is comprised of 60 minutes or we can say that 60 minutes make 1 hour so from the unitary method we can say that 1 minute makes ${\displaystyle \frac{1}{60}}$ hour and 30 minutes will make ${\displaystyle \frac{30}{60}}$ hour and simplifying this fraction will give 30 minutes make ${\displaystyle \frac{1}{2}}$ hour.
$\begin{array}{rl}& 1\text{hour}=60\text{minutes}\\ & \Rightarrow \text{1minute}={\displaystyle \frac{1}{60}}hour\\ & \Rightarrow 30minutes={\displaystyle \frac{30}{60}}hour={\displaystyle \frac{1}{2}}hour\end{array}$
From the above conversion, we have seen that 30 minutes make ${\displaystyle \frac{1}{2}}$ hour or we can say that one half of an hour is 30 minutes.
Hence, one half of an hour is 30 minutes.

Note: Instead of doing all such calculations, you can also solve this problem as we need to find what part of 1 hour is 30 minutes. We know that 1 hour is divided into 60 minutes and 30 minutes is half of 60 minutes so we can say that 30 minutes is half of 1 hour.
From the above statement, we have found that one half of 1 hour or (an hour) is 30 minutes.