Question

What is the value of \[4-\dfrac{3}{4}\]?

Answer 1

Hint: We are given a question asking us to solve the given expression by performing the appropriate arithmetic operations as per the demand of the expression. We can see that in the expression there is a minus sign, that is, we have to carry out the subtraction operation. But we cannot directly do the subtraction operation as one of the terms in the expression is a fraction whereas the other is not. So, we will first take the LCM and make their denominators the same , then we will proceed onto solving and reducing the expression as much as possible. Hence, we will have the value for the given expression.

Complete step-by-step solution:
According to the given question, we are given an expression which we have to compute and find the value.
The given expression we have is,
\[4-\dfrac{3}{4}\]---(1)
We can see that in equation (1), we have to perform subtraction arithmetic operation, but we cannot directly do it. As in the equation (1), we can see that one of the terms is a fraction and other is an integer. So, we will have to convert both the terms either into integer form or into fractional form.
We will begin by taking the LCM, so we will get the expression as,
\[\Rightarrow \dfrac{16-3}{4}\]----(2)
Now, we will carry out the subtraction in the numerator, we get,
\[\Rightarrow \dfrac{13}{4}\]
Therefore, the value of \[4-\dfrac{3}{4}=\dfrac{13}{4}\].

Note: Do not make the mistake of directly subtracting an integer by a fraction because that’s not possible and will be incorrect for sure. Also, while making the integer as a fraction by taking the LCM, make sure that the LCM component is multiplied in the numerator as well else the answer will get wrong.