-divided-by-4.jpeg "1/3 + 4 X 2/3 + (-12) Divided By 4")
Evaluating the Expression: 1/3 + 4 x 2/3 + (-12) divided by 4
In this article, we will evaluate the expression 1/3 + 4 x 2/3 + (-12) divided by 4. To do this, we need to follow the order of operations (PEMDAS) and evaluate the expression step by step.
Step 1: Evaluate the multiplication
First, we need to evaluate the multiplication 4 x 2/3. To do this, we multiply 4 by 2/3, which gives us:
4 x 2/3 = 8/3
Step 2: Evaluate the addition
Next, we need to add 1/3 and 8/3. To do this, we need to find a common denominator, which is 3. We can rewrite 1/3 as 3/3 to have the same denominator:
1/3 = 3/3
Now, we can add 3/3 and 8/3:
3/3 + 8/3 = 11/3
Step 3: Evaluate the subtraction
Next, we need to subtract 12 from 11/3. To do this, we need to convert 12 to a fraction with a denominator of 3. We can rewrite 12 as 36/3:
12 = 36/3
Now, we can subtract 36/3 from 11/3:
11/3 - 36/3 = -25/3
Step 4: Evaluate the division
Finally, we need to divide -25/3 by 4. To do this, we can rewrite the division as a fraction:
-25/3 ÷ 4 = -25/3 × 1/4
Now, we can simplify the fraction:
-25/3 × 1/4 = -25/12
Final Answer
Therefore, the final answer is -25/12.
We hope this step-by-step guide has helped you evaluate the expression 1/3 + 4 x 2/3 + (-12) divided by 4.
