# How do you evaluate the expression for x = 10 given (2x + 5)/x?

Jun 22, 2016

$\frac{5}{2}$

#### Explanation:

We have to substitute the given value of $x = 10$in the given algebraic expression we have:

$\frac{2 \left(10\right) + 5}{10}$
$= \frac{20 + 5}{10}$
$= \frac{25}{10}$

The numerator and denominator have $5$ as common factor so let's calculate the simplest form:

$\frac{5}{2}$

Jun 22, 2016

$\frac{5}{2} = 2 \frac{1}{2} = 2.5$

#### Explanation:

To evaluate this expression substitute x = 10 into it.

$\Rightarrow \frac{2 x + 5}{x} = \frac{\left(2 \times 10\right) + 5}{10} = \frac{20 + 5}{10} = \frac{25}{10}$

There is a common factor of 5 which simplifies to.

$\frac{25}{10} = {\cancel{25}}^{5} / {\cancel{10}}^{2} = \frac{5}{2}$

$\frac{5}{2} \text{ may be expressed as a mixed number or as a decimal}$

$\Rightarrow \frac{5}{2} = 2 \frac{1}{2} = 2.5$

Any of these 3 is the value of the expression.