Question

How do you evaluate \[\dfrac{7}{4}-\left( -\dfrac{1}{2} \right)\]?

Answer 1

Hint: We can solve this question using basic arithmetic operations. First we have to get rid of parenthesis. After that we have to apply required arithmetic operations like division and subtraction and simplifications to arrive at the solution.

Complete step-by-step solution:
Given expression is
\[\dfrac{7}{4}-\left( -\dfrac{1}{2} \right)\]
To start solving we have to remove the parentheses by multiplying the term in the parenthesis with \[-\].
We already know that \[-\times -=+\].
So we will the expression after removing parentheses as
\[\Rightarrow \dfrac{7}{4}+\dfrac{1}{2}\]
Now we have to add both the terms. We have to calculate the LCM for both terms. The LCM for 4 and 2 is 4. We will get
\[\Rightarrow \dfrac{7+2}{4}\]
By adding the terms in the numerator we will get expression as
\[\Rightarrow \dfrac{9}{4}\]
Now we can convert the expression into decimal also. We will get
\[\Rightarrow 2.25\]
So the simplified form we will get \[2.25\].

Note: We can also do it another way also by converting them as decimals.
After removing parentheses the expression is
\[\Rightarrow \dfrac{7}{4}+\dfrac{1}{2}\]
We will start from here to convert into decimals.
Now we have converted the terms in the expression as decimals.
Now we will convert the first term we will get
\[\Rightarrow 1.75+\dfrac{1}{2}\]
Now we have to convert the second term we will get
\[\Rightarrow 1.75+0.5\]
Now we have to add the terms in the expression.
By adding we will get
\[\Rightarrow 2.25\]
So the simplified form of the given equation is \[2.25\]. So we follow either ways we will get the same answer.