# How do you simplify 2/x-3/5?

Nov 30, 2016

$\frac{10 - 3 x}{5 x}$

#### Explanation:

The methods for working with fractions stay the same, no matter whether they are algebraic or arithmetic.
To Add or Subtract, you need a common denominator (LCD) which in this case is $5 x$

$\frac{2}{x} \times \frac{5}{5} - \frac{3}{5} \times \frac{x}{x} \text{ } \leftarrow$ make equivalent fractions

$= \frac{10}{5 x} - \frac{3 x}{5 x}$

$= \frac{10 - 3 x}{5 x}$

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