Question

What is $\dfrac{3}{4}$ of an hour?

Answer 1

Hint: In this question we have to find what part is $\dfrac{3}{4}th$ of an hour. For this we should first know the relation between hours and minutes. We know that in one hour there are sixty minutes i.e.
$1$ hour $ = 60$ minutes. We can also say this as $60$ minutes make an hour. So we will use this relation to solve the above question.

Complete step by step answer:
We should know that when we combine numbers and variables in a valid way, using the operations such as addition, subtraction, multiplication, division, exponentiation and other operations and functions then the resulting combination of mathematical symbols is called a mathematical expression.
Here we have been given a mathematical expression with the term “of” which means multiplication. So we apply this and solve the problem.
Here we have to find $\dfrac{3}{4}$ of an hour.
In this question the term “of” means to multiply i.e. $ \times $ .
Now we know that
$1$ hour $ = 60$ minutes.
So we will put this value in the question and solve it. We can write this as
$\dfrac{3}{4} \times 60$ minutes.
It gives us value in minutes, as we are putting the value in minutes.
So we have
 $\dfrac{3}{4} \times 60 = 45$ minutes.
Therefore, $\dfrac{3}{4}$ of an hour is $45$ minutes.

Note:
It should be noted that there is an alternate method to solve this question.
We know that
$1$ hour $ = 60$ minutes.
So when we divide $1$ hour into four equal parts, then we have each part as
$\dfrac{{60}}{4} = 15$ minutes.
So in $\dfrac{3}{4}$ of an hour, we have to calculate such three parts.
So we have
 $3 \times 15 = 45$ minutes.
We should keep in mind that for problems like this, it is good to break up the information and visualize how it fits in together. It should be noted that a mathematical expression does not involve any equal sign as it is an expression. We equal to signs $\left( = \right)$ in mathematical equations not in expressions.