Question

Which of the following expressions is equivalent to 4.4-3( 3/4 +1.125) ？

A. 4.4-3(2)
B. 3( 15/8 )-4.4
C. -3( 6/8 + 9/8 )+4 2/5
D. -3( 30/40 +1 15/40 )+4 16/40

Answer 1

The equivalent expression to 4.4 - 3(3/4 + 1.125) is option D, which after simplification equals 10.025.

Step-by-step explanation:

To find which expression is equivalent to 4.4 - 3(3/4 + 1.125), we need to perform the operation inside the parentheses first, and then multiply by -3 before subtracting from 4.4.

Let's solve the original expression step by step:

1. Calculate the sum inside the parentheses: 3/4 + 1.125. The decimal equivalent of 3/4 is 0.75. So 0.75 + 1.125 equals 1.875.
2. Multiply the result by -3: -3 * 1.875 equals -5.625.
3. Subtract that from 4.4: 4.4 - (-5.625) equals 4.4 + 5.625 which equals 10.025.

The equivalent expressions can be analyzed in a similar fashion:

• A. 4.4 - 3(2) simplifies to 4.4 - 6, which equals -1.6.
• B. 3(15/8) - 4.4 simplifies to 5.625 - 4.4, which equals 1.225.
• C. -3(6/8 + 9/8) + 4 2/5 simplifies to -3(15/8) + 4.4, which is equivalent to -5.625 + 4.4, resulting in -1.225.
• D. -3(30/40 + 1 15/40) + 4 16/40 simplifies to -3(1.875) + 4.4, which equals -5.625 + 4.4, and that gives us 10.025.

Therefore, option D is the correct answer because it simplifies to 10.025.