evaluate: 30/5x3-2
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2-2/3
( /= divided by)
is the correct answer 16/-4?
To evaluate the expression (30/5x3-2) / (2-2/3), we need to follow the rules of order of operations (also known as PEMDAS).
Let's break down the steps:
Step 1: Start with the parentheses.
There are no parentheses in this expression, so we move on to the next step.
Step 2: Evaluate any exponents or powers.
There are no exponents in this expression.
Step 3: Perform any multiplication and division from left to right.
First, we have 30/5, which equals 6.
Next, we multiply 6 by 3, which equals 18.
Step 4: Perform any addition and subtraction from left to right.
We subtract 2 from 18, which equals 16.
Step 5: Evaluate any remaining multiplication and division from left to right.
Now, let's move on to the denominator: 2-2/3.
We divide 2 by 3, which equals 2/3.
Next, we subtract 2/3 from 2: 2 - 2/3 is equal to 6/3 - 2/3, which equals 4/3.
Step 6: Divide the numerator by the denominator.
Now, we divide the numerator (16) by the denominator (4/3).
To divide by a fraction, we multiply by its reciprocal.
Reciprocal of 4/3 is 3/4.
Multiplying: 16 * (3/4) = 48/4 = 12.
So, the correct answer is 12, not 16/-4.