Consider the expression x+6/32−(2⋅3)+5

Question

. What is the simplified denominator?(1 point)
Responses

26
26

56
56

8
8

−2

Answer 1

To simplify the expression \( x + \frac{6}{32} - (2 \cdot 3) + 5 \), we first simplify the denominator, which is from the term \( \frac{6}{32} \).

1. Simplify \( \frac{6}{32} \): \[ \frac{6}{32} = \frac{3}{16} \]

2. Next, simplify the multiplication: \[ (2 \cdot 3) = 6 \]

Now, substitute these simplified values back into the expression: \[ x + \frac{3}{16} - 6 + 5 \]

Combine like terms, focusing on the constants: \[ -6 + 5 = -1 \] Thus, the expression simplifies to: \[ x + \frac{3}{16} - 1 \]

In this expression, the denominator we are considering is \( 16 \) from the term \( \frac{3}{16} \).

However, there is no option for the number \( 16 \) provided in your choices, and it looks like the question might be asking about \( 32 - (2 \cdot 3) \):

Calculate \( 32 - (2 \cdot 3) \): \[ 32 - 6 = 26 \]

So, the simplified denominator (the operation we performed) is: 26.