Question

express 0.38bar + 1.27 (bar on 7) as a fraction in simplest form

Answer 1

For converting bar decimal into fraction, divide by 9 or 99 or 999 according to bar digits.

So 0.38bar =
$\frac{38}{99}$
since there are two digits with bar so we divide by 99.
Second question
1 is whole number here so take it as whole number and only 7 has bar so write it like.
$1 \frac{27 - 2}{90}$
here 2 is not repeating so we used 0 in place of 2 and subtracted 2
so we have
$1 \frac{25}{90}$
now convert it into improper fraction so we have.
$1 \frac{25}{90} = \frac{115}{90}$
simplifying we have
$\frac{115}{90} = \frac{23}{18}$
so your first answer is

$\frac{38}{99}$
and second is

$\frac{23}{18}$
hope you understand