Answer:
a*b = 1/2
a/ b = 8/9
Step-by-step explanation:
a = 0.66666 and b = 0.75
To multiply it we write the decimal numbers in fraction form
a= 0.666666...
Multiply by 10 on both sides
10 a = 6.66666...
a = 0.66666...
Subtract the second equation
9a = 6
divide by 9 on both sides
[tex]a=\frac{6}{9}=\frac{2}{3}[/tex]
so 0.6666 = 2/3
Now we convert 0.75 into fraction form
[tex]0.75=\frac{0.75}{1}[/tex]
Multiply top and bottom by 100 to remove decimal
[tex]\frac{75}{100} = \frac{3}{4}[/tex]
so 0.75 is 3/4
a= 2/3 and b = 3/4
[tex]a*b = \frac{2}{3} * \frac{3}{4} = \frac{6}{12} = \frac{1}{2}[/tex]
[tex]\frac{a}{b} = \frac{\frac{2}{3}}{\frac{3}{4}} = \frac{2}{3} * \frac{4}{3} =\frac{8}{9}[/tex]
