# Converts $240$ minutes into hours.

Answer

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**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.

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