Question

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

Answer 1

`\boxed{ - (5)/(7) }`

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

`x = (-5)/(7)`

Explanation:

Let the rational number be x

So The condition is:

=>
`(-7)/(85) * x = (1)/(17)`

Multiplying
`-(85)/(7)` to both sides

=> x =
`(1)/(17) * (-85)/(7)`

=> x =
`(-85)/(119)`

In simplest form , it is

=>
`x = (-5)/(7)`