According to the order of operations, expressions inside parentheses are evaluated first, while addition and subtraction are evaluated last. For the given expression, this means evaluating completely the expressions inside the numerator and the denominator before calculating the fraction.
2 * 7 + 4/9 ÷ 3Notice also that even within the numerator, we must obey the order of operations.
2 * 7 + 4
For this, we must remember to evaluate the multiplication first and the sum next.
Operation
Before Simplification
After Simplification
Multiply
2 * 7 + 4/9 ÷ 3
14 + 4/9 ÷ 3
Add terms
14 + 4/9 ÷ 3
18/9 ÷ 3
Calculate quotient
18/9 ÷ 3
18/3
Calculate quotient
18/3
6
The expression equals 6.
Alternative Solution
Using a Calculator
We can also evaluate this expression using a calculator. To do so, type it as shown below.
