Question

Which of the following are equivalent to the expression 9/4(1.75-2 1/4)? Select all that apply

a) -3.375
b) -3.75
c) -3.25
d) -2.5

Answer 1

After simplifying and evaluating, none of the provided options are equivalent to the expression 9/4(1.75-2 1/4). The actual result is -1.125.

Step-by-step explanation:

The student's question involves evaluating the expression 9/4(1.75-2 1/4) to find which of the given options are equivalent to it.

First, we need to simplify the expression inside the parentheses: 1.75 - 2 1/4. Converting 2 1/4 to an improper fraction results in 9/4. So the expression becomes 1.75 - 9/4, which is equivalent to 7/4 - 9/4 = -2/4 or -0.5 when simplified.

Now, we multiply this result by 9/4: -0.5 × 9/4, which equals -9/8 or -1.125.

None of the provided options (a) -3.375, (b) -3.75, (c) -3.25, and (d) -2.5) are equivalent to -1.125.