Final answer:
The numbers -2/25, -9/20, 8, 2/8, and 9/12 arranged from least to greatest are -9/20, -2/25, 1/4, 3/4, and 8 after simplifying the fractions where possible and comparing their values.
Step-by-step explanation:
The correct answer is option to put the numbers -2/25, -9/20, 8, 2/8, and 9/12 in order from least to greatest. First, we simplify the fractions where possible. The fraction 2/8 simplifies to 1/4, and 9/12 simplifies to 3/4. Now we have the following numbers to order: -2/25, -9/20, 8, 1/4, and 3/4.
Next, we compare their values. Since the negative fractions are less than zero and our positive numbers are greater than zero, the negative fractions will come first. Among the negative fractions, -9/20 is less than -2/25 because when comparing fractions with different denominators, you can cross multiply to find that -20 * -2 is greater than 25 * -9.
The correct order from least to greatest is therefore: -9/20, -2/25, 1/4 (or 2/8 simplified), 3/4 (or 9/12 simplified), and 8.