Question

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Answer 1

1,(5)=(15-1)/9=14/9
2,5(4)=(254-25)/90=229/90

1,(5)+3,3+2,5(4)+1,23 =
=14/9 +33/10+229/90+123/100=
=(1400+2970+2290+1107)/900=
=7767/900=863/100

Answer 2

$\displaystyle 1,(5)= \frac{15-1}{9} = \frac{14}{9} \\ \\ 3,3= \frac{33}{10} \\ \\ 2,5(4)= \frac{254-25}{90} = \frac{229}{90} \\ \\ 1,23= \frac{123}{100} \\ \\ 1,(5)+3,3+2,5(4)+1,23= \frac{14}{9} + \frac{33}{10} + \frac{229}{90} + \frac{123}{100} = \\ \\ = \frac{1400}{900} + \frac{2970}{900} + \frac{2290}{900} + \frac{1107}{900} = \frac{7767}{900} =\boxed{ \frac{863}{100} }$