Write a rational number in fraction form that is equivalent to -1.\overline{5}

Question

asked Sep 20, 2021 15.2k views

1 Answer

Slothbear · Answer 1 · 2021-09-25T08:35:26+0000

Answer:

(-14)/(9) .

Explanation:

The given number is
$-1.\overline{5}$ .

We need to find a rational number in fraction form that is equivalent to given number.

Let
$x=-1.\overline{5}$

x=-1.555... ...(1)

Multiply both sides by 10.

10x=-15.555... ...(2)

Subtracting (1) from (2), we get

10x-x=-15.555...-(-1.555...)

9x=-14

Divide both sides by 9.

x=(-14)/(9)

Therefore, the required rational number is
.