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
.