Answer:
The answer is,
[tex](-1) \times \frac {1}{2} \times (-1) \times (1)[/tex]
Step-by-step explanation:
The given product is,
[tex]\frac {-4}{5} \times \frac{3}{5} \times \frac{-6}{7} \times \frac {5}{6}[/tex]
= [tex]\frac {12}{35}[/tex]
[tex]\simeq 0.3429[/tex] ---------------------(1)
Now, the first product to compare is,
[tex](-1) \times \frac {1}{4} \times (-1) \times (-1)[/tex]
= - 0.25 ----------------------------(2)
The second product to compare is,
[tex](-1) \times \frac {1}{2} \times (-1) \times (1)[/tex]
= 0.5 ------------------------(3)
The 3rd product to compare is,
[tex]\frac {-4}{2} \times \frac {3}{2} \times \frac{-2}{5} \times \frac {5}{2}[/tex]
= 3 ----------------------------(4)
The 4th product to compare is,
[tex]\frac {-3}{4} \times \frac {-3}{4} \times \frac {-1}{5} \times \frac {1}{2}[/tex]
= [tex]\frac {-9}{160}[/tex]
= 0.05625 -----------------(5)
Comparing all the values , we get (3) is closest to (1).
Hence, we get, the answer is,
[tex](-1) \times \frac {1}{2} \times (-1) \times (1)[/tex]
