Evaluating the Expression: 18(-1/6+7/9)
In this article, we will evaluate the mathematical expression 18(-1/6+7/9). To do this, we need to follow the order of operations (PEMDAS) and perform the calculations step by step.
Step 1: Evaluate the expression inside the parentheses
First, let's evaluate the expression inside the parentheses:
-1/6 + 7/9
To add these two fractions, we need to find a common denominator. The least common multiple (LCM) of 6 and 9 is 18. So, we can rewrite the fractions with a denominator of 18:
-3/18 + 14/18
Now, we can add the fractions:
(-3 + 14)/18 = 11/18
Step 2: Multiply the result by 18
Now that we have evaluated the expression inside the parentheses, we can multiply the result by 18:
18 × 11/18
To multiply a number by a fraction, we can multiply the number by the numerator and divide by the denominator:
18 × 11 = 198 198 ÷ 18 = 11
Final Answer
Therefore, the final answer is:
18(-1/6+7/9) = 11
