Answer:
B (-1) (1/2) (-1) (1)
Step-by-step explanation:
Given expression,
[tex](\frac{-4}{5})( \frac{3}{5})( \frac{-6}{7} )(\frac{5}{6})[/tex]
By the product rule of fractions,
[tex]=\frac{-4\times 3\times -6\times 5}{5\times 5\times 7\times 6}[/tex]
[tex]=\frac{12}{35}[/tex]
[tex]\approx 0.3429[/tex]
In option A,
[tex](-1)( \frac{1}{4})(-1 )(-1 )[/tex]
[tex]=-\frac{1}{4}=-0.25[/tex]
In option B,
[tex](-1) \frac{1}{2} (-1) (1)[/tex]
[tex]=\frac{1}{2}=0.50[/tex]
In option C,
[tex](-\frac{4}{2})( \frac{3}{2})( \frac{-2}{5} )(\frac{5}{2})[/tex]
[tex]=3[/tex]
In option D,
[tex](-\frac{3}{4})( -\frac{3}{4})( -\frac{1}{5} )(\frac{1}{2})[/tex]
[tex]=-\frac{9}{160}=-0.05625[/tex]
Hence, the result of expression B would best estimate the actual product in given expression.
