Questions: Evaluate the following expression for (x=3). [ frac3 x+459 x ] [ frac3 x+459 x= ]

Evaluate the following expression for (x=3). [ frac3 x+459 x ] [ frac3 x+459 x= ]
Transcript text: Evaluate the following expression for $x=3$. \[ \begin{array}{r} \frac{3 x+45}{9 x} \\ \frac{3 x+45}{9 x}= \end{array} \]
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Solution

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Solution Steps

To evaluate the given expression for \( x = 3 \), substitute \( x \) with 3 in the expression \(\frac{3x + 45}{9x}\). Then, perform the arithmetic operations to simplify the expression and find the result.

Step 1: Substitute \( x = 3 \) into the Expression

To evaluate the expression \(\frac{3x + 45}{9x}\) for \( x = 3 \), substitute 3 for \( x \): \[ \frac{3(3) + 45}{9(3)} \]

Step 2: Simplify the Numerator and Denominator

Calculate the values in the numerator and the denominator:

  • Numerator: \(3 \times 3 + 45 = 9 + 45 = 54\)
  • Denominator: \(9 \times 3 = 27\)
Step 3: Divide the Numerator by the Denominator

Divide the simplified numerator by the simplified denominator: \[ \frac{54}{27} = 2.0 \]

Final Answer

The value of the expression for \( x = 3 \) is \(\boxed{2.0}\).

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