How do you convert -1.7 (7 repeating) as a fraction?

Question

25964 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-04-16T11:58:06

$-1.7bar7-= -16/9 -> ( -1 7/9)" "$ The $-=$ means 'equivalent to'

Note that the question gives a negative value.

Write as $-1.7bar7$ the bare above the 7 means that it goes on forever.

Let $x=-1.7bar7$

Then $10x=-17.7bar7$

So $10x-x= -17.7bar7$
$" "underline(" "-1.7bar7)" "<-"Subtract$
$" "-16$

So $9x=-16$

Divide both sides by 9

$x=-16/9 -> ( -1 7/9)$