What is 1 8/9189 as a decimal?

1 Answer
May 30, 2017

1 8/9=1.88888.=1.bar8189=1.88888.=1.¯8

Explanation:

When we have a denominator in a fraction, which in its smallest form and has as its factors prime numbers other than 22 and 55, you can not write the fraction as a termiinating decimal .

In such cases, we get repeating decimals. This is also true in this case as 99 has its prime factor 33.

Dividing 88 by 99 using long division, we get

" "0.8" "8" "8" "8" "8" "8 0.8 8 8 8 8 8

9" ")bar(8.0" "0" "0" "0" "0" "0)9 )¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯8.0 0 0 0 0 0
" "ul(72)" "darr
" "8" "0
" "ul(7" "2)
" "8" "0
" "ul(7" "2)
" "8" "0
" "ul(7" "2)
" "8" "0

...

...

Hence 8/9=0.88888......

and 1 8/9=1.88888......

which wecan also write as 1.bar8, which shows 8 repeats endlessly.