Question

Evaluate the expression.

$\frac{75-39}{4\cdot 3}$

Short answer

The value of the expression is3.

Step-by-step solution

Step 1  . Order of operations

To evaluate any expression involving more than one operation, follow the below order of operations:

• First evaluate expressions inside grouping symbols like parentheses ( ) or brackets [ ].
• Evaluate the exponents.
• Perform Multiplication and division from left to right.
• Perform addition and subtraction from left to right.

Step 2  . Simplify numerator and denominator expressions

To evaluate the expression$\frac{75-39}{4\cdot 3}$, first simplify the expressions in numerator and denominator and then solve further by dividing the resulting numbers as shown below,

$\begin{array}{c}\frac{75-39}{4\cdot 3}=\frac{75-39}{12}\\ =\frac{36}{12}\end{array}$

Step 3  . Divide the numbers

Now to simplify further, divide the numbers to get

$\begin{array}{c}\frac{75-39}{4\cdot 3}=\frac{36}{12}\\ =3\end{array}$

Thus, the value of the expression is 3.