Fractions From Recurring Decimals - Casio fx-3650P Programming Manual

02

Fractions from recurring decimals

Recurring decimals may be converted to fraction by proceeding in the following way:
1
0.111111111111
=
-- -
9
1
-------- - 0.001001001001001
=
999
For example, 0.345345345......
0.345345345 ......
ON MODE MODE
？→ Ａ：？→ Ｂ：１０＾ Ａ －１→ Ａ：Ａ → Ｘ：Ｂ → Ｙ：Ｌｂｌ １：Ａ － Ｂ → Ａ：Ａ ≧
Ｂ ⇒ Ｇｏｔｏ １：Ａ ＝０⇒ Ｇｏｔｏ ２：Ａ → Ｃ：Ｂ → Ａ：Ｃ → Ｂ：Ｇｏｔｏ １：Ｌｂｌ
Ｘ ÷ Ｂ ＜ 73 STEP ＞
２：Ｙ ÷ Ｂ
Write 0.345345••• as a fraction.
Ａ？ : The number of digits in the repeated pattern (e.g. 3 in the example)
Ｂ？ : The recurring sequence of digits (e.g. 345 in the example)
Prog 1
3 EXE
3 4 5 EXE
EXE
*This program deals only with the case in which the 1st to Ath digits immediately following
the decimal point are repeated.
i.e. 0.033333...= 1/30 and 0.166666...= 1/6 cannot be converted.
4
1
......
----- -
99
1
......
----------- -
9999
is
345 115
-------- - = -------- -
=
999 333
PRGM
MODE 1
......
0.01010101010
=
0.000100010001
=
COMP
MODE 1
S A
S A
S A
S A
......
1
P1 P1 P2 P3 P4 D R G
P1 P1 P2 P3 P4 D R G
P1 P1 P2 P3 P4 D R G
P1 P1 P2 P3 P4 D R G
Disp