Question

Converts $240$ minutes into hours.

Answer 1

Hint: As we know that there are $60$ minutes in $1$ hour. So, we will use this concept to convert $240$ minutes into hours. First of all we will write the concept and get the value of $1$ minute in terms of hour. Then, we will multiply both sides with $240$ to get the required answer.

Complete step by step answer:
Since, there are $60$ seconds in $1$ minute and $60$ minutes in $1$ hour to understand the time process of the watch. So, the ratio of minutes and seconds is $1:60$ and similarly the ratio of hour and minute is also $1:60$.
Since, we need to convert from minutes to hours in the given question. We will use the ratio of hour and minute.
Let’s suppose that $240$ minutes are equal to $x$ hours. So, the ratio of $x$ and $240$ will be $1:60$. We can write it in mathematical terms as:
$\Rightarrow \dfrac{x}{240}=\dfrac{1}{60}$
Here, we will do the multiplication by $240$ each side of above step as:
$\Rightarrow \dfrac{x}{240}\times 240=\dfrac{1}{60}\times 240$
Now, we will cancel out the equal like term that is $240$ in left hand side and will divide $240$ by $60$in right hand side of the above step and will get quotient as $4$ as:
$\Rightarrow x=4$
Here, we get the value of $x$ that is also assumed convert hour of $240$ minute. Hence, $240$ minutes is equal to $4$ hours.

Note: Here, we will again use the concept of time as $1$ hour is equal to $60$ minutes to check if the solution is correct or not.
Since, $1$ hour is equal to $60$. We can write it as:
$\Rightarrow 1\text{ hour = 60 minutes}$
Now, we will multiply by $4$ both sides as:
$\Rightarrow 1\text{ hour }\times 4\text{= 60 minutes}\times \text{4}$
After multiplication, we will have:
$\Rightarrow 4\text{ hour = 240 minutes}$
As we got $4$ hours are equal to $240$minutes.
Hence, our solution is correct.