Getallestelsels: RGRD#1

Skryf die volgende repeterende getalle as breuke.

a) $11.1212 with bar on top$
b) $negative 5. top enclose 3$
c) $6.123 with bar on top$

a)
$11.1212 with bar on top space space space space space x equals space space space space 11.121212 bottom enclose space 100 x equals 1112.1212 space end enclose space space space space 99 x equals 1101 space space space space space space space x equals 1101 over 99 space space space space space space space x equals 367 over 33$

b)
$negative 5. top enclose 3 space space space space space x equals negative 5.33 space bottom enclose space 10 x equals negative 53.33 space end enclose space space space space space space space space 9 x equals minus 50 space space space space space space space space space space space x equals fraction numerator negative 50 over denominator 9 end fraction space space space space space space space space space space space space x equals fraction numerator negative 50 over denominator 9 end fraction$

c)
$6.123 with bar on top space space space space space space space x equals space space space space space 6.123123 bottom enclose space 1000 x equals 6123.123123 space end enclose space space space space 999 x equals 6117 space space space space space space space x equals 6117 over 999 space space space space space space space x equals 2039 over 333$