Questions: Evaluate the following expression for (x=3).
[
frac3 x+459 x
]
[
frac3 x+459 x=
]
Transcript text: Evaluate the following expression for $x=3$.
\[
\begin{array}{r}
\frac{3 x+45}{9 x} \\
\frac{3 x+45}{9 x}=
\end{array}
\]
Solution
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 \(\boxed{2.0}\).