1 3 × ( 9 4 × 8) − 2 =

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Jun 06, 2024

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Evaluating the Expression: 1/3 × (9/4 × 8) - 2

In this article, we will evaluate the given expression: 1/3 × (9/4 × 8) - 2. To solve this expression, we need to follow the order of operations (PEMDAS):

Step 1: Evaluate the expression inside the parentheses

First, let's evaluate the expression inside the parentheses: 9/4 × 8.

9/4 × 8 = ?

To multiply a fraction by a whole number, we can multiply the numerator (9) by the whole number (8) and keep the same denominator (4).

9/4 × 8 = 72/4

Now, we can simplify the fraction:

72/4 = 18

So, the expression inside the parentheses is equal to 18.

Step 2: Evaluate the expression outside the parentheses

Now, let's evaluate the expression outside the parentheses: 1/3 × 18 - 2.

1/3 × 18 = ?

To multiply a fraction by a whole number, we can multiply the numerator (1) by the whole number (18) and keep the same denominator (3).

1/3 × 18 = 18/3

Now, we can simplify the fraction:

18/3 = 6

So, the expression 1/3 × 18 is equal to 6.

Step 3: Subtract 2 from the result

Finally, let's subtract 2 from the result:

6 - 2 = ?

6 - 2 = 4

Therefore, the final answer is:

1/3 × (9/4 × 8) - 2 = 4