Given the numbers [tex]\( a = 0.\overline{6} \)[/tex] and [tex]\( b = 0.75 \)[/tex],
1. To find [tex]\( a \cdot b \)[/tex]:
[tex]\[ a \cdot b = 0.\overline{6} \times 0.75 = 0.5 \][/tex]
So, [tex]\( a \cdot b = 0.5 \)[/tex].
2. To find [tex]\( \frac{a}{b} \)[/tex]:
[tex]\[ \frac{a}{b} = \frac{0.\overline{6}}{0.75} = 0.8888888888888888 \][/tex]
So, [tex]\( \frac{a}{b} = 0.8888888888888888 \)[/tex].
Hence,
[tex]\[ a \cdot b = 0.5 \text{ and } \frac{a}{b} = 0.8888888888888888 \][/tex]
