[tex]a. \: \: 3.046 = \frac{3046}{100} \\ \\ b. \: \: 3.(47) = 3 \frac{ 47}{99} = \frac{3 \times 99 + 47}{99} = \frac{344}{99} \\ \\ c. \: \: 4.(6) = 4 \frac{6}{9} = \frac{4 \times 9 + 6}{9} = \frac{36 + 6}{9} = \frac{42}{9} \\ \\ d . \: \: 21.23(3) = 21 \frac{233 - 23}{900} = \frac{21 \times 900 + 210}{900} = \frac{18900 + 210}{900} = \frac{19110}{900} [/tex]
