Evaluating the Expression: 1/9 - 0 × 3 × 5/9 + 1/3
In this article, we will evaluate the given expression: 1/9 - 0 × 3 × 5/9 + 1/3. To do this, we need to follow the order of operations (PEMDAS) and simplify the expression step by step.
Step 1: Simplify the Multiplication
First, let's simplify the multiplication part of the expression: 0 × 3 × 5/9. Since 0 multiplied by any number is 0, we can simplify this part to:
0
Step 2: Simplify the Subtraction
Now, let's simplify the subtraction part of the expression: 1/9 - 0. Since subtracting 0 from any number doesn't change the value, we can simplify this part to:
1/9
Step 3: Add the Remaining Fraction
Finally, let's add the remaining fraction: 1/3. To add fractions, we need to find the least common multiple (LCM) of the denominators, which is 9. We can convert 1/3 to an equivalent fraction with a denominator of 9:
(3/9) + (1/9) = 4/9
Final Answer
The final evaluated expression is:
4/9
Therefore, the simplified form of the expression 1/9 - 0 × 3 × 5/9 + 1/3 is 4/9.
