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If [tex]a=0.\overline{6}[/tex] and [tex]b=0.75[/tex], then [tex]a \cdot b = \square[/tex] and [tex]\frac{a}{b} = \square[/tex].


Sagot :

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]