Question

Evaluate the expression. $$3 \cdot 2+\frac{5}{9}$$

Short answer

The evaluated expression is approximately 6.56.

Step-by-step solution

Carry out the multiplication operation

According to the order of operations (BIDMAS / PEMDAS), multiplication comes first before addition. Therefore, multiply 3 and 2 to get 6.

Perform the addition operation

Next is the addition operation. Add 6 (from Step 1) and \(\frac{5}{9}\) to get \(6+\frac{5}{9}\). This operation results in the decimal equivalent of the fraction being added to 6.

Simplify to achieve the final answer

Simplify \(6+\frac{5}{9}\) to get the final answer. The decimal equivalent of \(\frac{5}{9}\) is approximately 0.556. Add this to 6 to obtain the final answer. This can be rounded to two decimal places, providing 6.56 as the final answer.