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Question Number 194779 by sniper237 last updated on 15/Jul/23

$$Ifadividedbybgivesqremainingr$$$$Then\frac{a}{b}=q,rrr...inbaseb+1$$

Commented by Frix last updated on 15/Jul/23

No problem ��

Commented by Frix last updated on 15/Jul/23

$$\mathrm{Example}?$$$$\frac{10}{7}=1\mathrm{remaining}3\mathrm{but}\frac{3}{7}\mathrm{in}\mathrm{base}7\mathrm{is}.3$$

Commented by Frix last updated on 15/Jul/23

$$...\mathrm{on}\mathrm{the}\mathrm{other}\mathrm{hand}$$$$2.11111...\mathrm{in}\mathrm{base}7\mathrm{is}\frac{13}{6}\mathrm{in}\mathrm{base}10$$$$\mathrm{I}{\mathrm{don}}^{\prime }\mathrm{t}\mathrm{get}\mathrm{it}?!$$

Commented by sniper237 last updated on 15/Jul/23

$$Sorryforall$$

Answered by deleteduser1 last updated on 15/Jul/23

$$\frac{a}{b}=q+\frac{r}{b}=q.r\left(baseb\right)forq<b(Otherwise,express$$$$qinitssimplestforminbaseb)$$

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