Answer :
Answer:
b) [tex]\frac{1}{2}[/tex] or 0.5
Explanation:
Let's see the actual product of the initial fractions
[tex]-\frac{4}{5}[/tex] * [tex]\frac{3}{5}[/tex] * [tex]-\frac{6}{7}[/tex] * [tex]\frac{5}{6}[/tex] = [tex]\frac{12}{35}[/tex]
= 0.3429 ≈ 0.34
Now let's see the product of the fractions from options A - D
Option A
(-1 * -1 * - 1) * [tex]\frac{1}{4}[/tex] = [tex]-\frac{1}{4}[/tex] or -0.25
Option B
(-1 * -1 * 1) * [tex]\frac{1}{2}[/tex] = [tex]\frac{1}{2}[/tex] or 0.50
Option C
[tex]-\frac{4}{2}[/tex] * [tex]\frac{3}{2}[/tex] * [tex]-\frac{2}{5}[/tex] * [tex]\frac{5}{2}[/tex] = 3
Option D
[tex]-\frac{3}{4}[/tex] * [tex]-\frac{3}{4}[/tex] * [tex]-\frac{1}{5}[/tex] * [tex]\frac{1}{2}[/tex] = [tex]-\frac{9}{160}[/tex]
= -0.05625 ≈ -0.056
The initial fraction is [tex]\frac{12}{35}[/tex] or 0.34 & Option B is [tex]\frac{1}{2}[/tex] or 0.5.
As such, Option B is the answer that best estimates the actual products of the fraction in the question