Sure, let's break down the solution to the given problem step-by-step.
We start with the expression:
[tex]\[ \frac{-6}{7} \times \frac{8}{-25} \times \frac{35}{-18} \][/tex]
Step 1: Simplify the fractions.
The first fraction is:
[tex]\[ \frac{-6}{7} = -0.8571428571428571 \][/tex]
The second fraction is:
[tex]\[ \frac{8}{-25} = -0.32 \][/tex]
The third fraction is:
[tex]\[ \frac{35}{-18} = -1.9444444444444444 \][/tex]
Step 2: Multiply the simplified fractions.
[tex]\[ -0.8571428571428571 \times -0.32 \times -1.9444444444444444 \][/tex]
Let's multiply them one step at a time, starting with the first two:
[tex]\[ -0.8571428571428571 \times -0.32 = 0.2742857142857143 \][/tex]
Next, multiply this result by the third fraction:
[tex]\[ 0.2742857142857143 \times -1.9444444444444444 = -0.5333333333333333 \][/tex]
Step 3: Arrange the fractions and the product in their original form:
The fractions are:
[tex]\[ \frac{-6}{7}, \frac{8}{-25}, \frac{35}{-18} \][/tex]
Thus, the product of these three fractions is:
[tex]\[ -0.5333333333333333 \][/tex]
Conclusion:
The product of the three fractions [tex]\(\frac{-6}{7} \times \frac{8}{-25} \times \frac{35}{-18}\)[/tex] is [tex]\(-0.5333333333333333\)[/tex].
