Evaluating the Expression: (2 x 15/3) (2/3)2
In this article, we will evaluate the expression (2 x 15/3) (2/3)2 step by step.
Step 1: Evaluate the expression inside the parentheses
First, let's evaluate the expression inside the parentheses. We have:
2 x 15/3
To evaluate this expression, we need to follow the order of operations (PEMDAS):
- Multiply 2 and 15:
2 x 15 = 30 - Divide the result by 3:
30/3 = 10
So, the expression inside the parentheses evaluates to 10.
Step 2: Evaluate the second part of the expression
Next, let's evaluate the second part of the expression: (2/3)2. To do this, we need to raise 2/3 to the power of 2:
(2/3)2 = (2/3) × (2/3)
To multiply fractions, we multiply the numerators (numbers on top) and multiply the denominators (numbers on the bottom), like this:
(2/3) × (2/3) = (2 × 2) / (3 × 3) = 4/9
Step 3: Multiply the results
Finally, let's multiply the results of the two parts of the expression:
(2 x 15/3) (2/3)2 = 10 × 4/9
To multiply a whole number by a fraction, we can multiply the whole number by the numerator (number on top) and divide by the denominator (number on bottom), like this:
10 × 4/9 = 40/9
Final Answer
Therefore, the final answer is:
(2 x 15/3) (2/3)2 = 40/9
I hope this helps! Let me know if you have any questions.
