If-a-divided-by-b-gives-q-remaining-r-Then-a-b-q-rrr-in-base-b-1-

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

I f a d i v i d e d b y b g i v e s q r e m a i n i n g r

T h e n \frac{a}{b} = q, r r r \dots i n b a s e b + 1

Commented by Frix last updated on 15/Jul/23

No problem ��

Commented by Frix last updated on 15/Jul/23

Example ?

\frac{10}{7} = 1 remaining 3 but \frac{3}{7} in base 7 is . 3

Commented by Frix last updated on 15/Jul/23

\dots on the other hand

2.11111 \dots in base 7 is \frac{13}{6} in base 10

I {don}^{'} t get it ?!

Commented by sniper237 last updated on 15/Jul/23

S o r r y f o r a l l

Answered by AST last updated on 15/Jul/23

\frac{a}{b} = q + \frac{r}{b} = q . r (b a s e b) f o r q < b (O t h e r w i s e, e x p r e s s

q i n i t s s i m p l e s t f o r m i n b a s e b)

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