[ Ordinary fractions $]$ [ Geometric progression $\quad]$

Represent the following numbers as ordinary and decimal fractions:
a) $0,(12)+0,(122)$
b) $0,(3) \cdot 0,(4)$
c) $0,(9)-0,(85)$.
a) According to problem $\underline{60876} \quad 0,(12)+0,(122)={ }^{12} / 99+{ }^{122} / 999=121212+122122 / 999999=243334 / 999999=0,(243334)$.

b) $0,(9)-0,(85)=0,(14)=14 / 99$.

## Answer

a) $1243334 / 999999=0,(243334)$
b) $4 / 27=0,(148) ;$ c) ${ }^{14} / 99=0,(14)$.

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