If I understand your question well, I suppose you mean $\frac{4}{ x^{2} -35} - \frac{1}{x+5}$
$\frac{4}{ x^{2} -35} - \frac{1}{x+5} = \frac{4}{(x+5)(x-7)}- \frac{1}{x+5} \\ = \frac{1}{x+5}( \frac{4}{x-7}-1) \\ = \frac{1}{x+5}( \frac{4}{x-7}- \frac{x-7}{x-7}) \\ = \frac{1}{x+5}( \frac{4-x+7}{x-7}) \\ = \frac{1}{x+5}( \frac{11-x}{x-7}) \\ = \frac{11-x}{ x^{2} -35}$

6 0

3 years ago

Express the recurring decimal 0.034 as a fraction in its simplest form.

LiRa [457]

Answer:

$\frac{17}{495}$ will be the fraction.

Step-by-step explanation:

Here the recurring decimal number is 0.0343434....

To convert this recurring decimal to fraction we assume,

x = 0.03434.... -------(1)

Now multiply both the sides with 100.

100x = 3.43434.... ------(2)

Now subtract equation (1) from equation (2).

100x = 3.43434

x = 0.03434

99x = 3.4

x = $\frac{3.4}{99}$

= $\frac{34}{990}$

x = $\frac{17}{495}$

Therefore, fraction that represents the decimal number is $\frac{17}{495}$

4 0

3 years ago