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Question

Rewrite the expression as a sum of two fractions, and simplify. 18x +35/x

Answer 1

To rewrite the expression \( \frac{18x + 35}{x} \) as a sum of two fractions, you can separate the numerator into two parts:

\[ \frac{18x + 35}{x} = \frac{18x}{x} + \frac{35}{x} \]

Now you can simplify each fraction:

\[ \frac{18x}{x} = 18 \quad \text{(since \( x \neq 0 \))} \] \[ \frac{35}{x} \text{ remains as it is.} \]

So, combining both parts, you get:

\[ 18 + \frac{35}{x} \]

Thus, the simplified form of the expression \( \frac{18x + 35}{x} \) is:

\[ 18 + \frac{35}{x} \]