Question

By what rational number should -7/85 be multiplied to obtain 1/17

Answer 1

Answer:

$\boxed{ - \frac{5}{7} }$

Step-by-step explanation:

Let x be the rational number.

-7/85 × x = 1/17

Divide both sides -7/85.

x = 1/17/(-7/85)

x = 85/(-7 * 17)

x = 85/-119

x = -5/7

Answer 2

Answer:

$x = \frac{-5}{7}$

Step-by-step explanation:

Let the rational number be x

So The condition is:

=> $\frac{-7}{85} * x = \frac{1}{17}$

Multiplying $-\frac{85}{7}$ to both sides

=> x = $\frac{1}{17} * \frac{-85}{7}$

=> x = $\frac{-85}{119}$

In simplest form , it is

=> $x = \frac{-5}{7}$