Question

The number (4.5-3/2)/(6-1/2) is equivalent to which of the following? a. 33/2 b. 0.3 c. -9/4 d. 12/13 e. 6/11

Answer 1

The number (4.5-3/2)/(6-1/2) is equivalent to 6/11 according to the order of operations.

Step-by-step explanation:

To solve this problem, we first need to understand the order of operations commonly known by the acronym PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). Let's solve the question step by step.

1. (4.5-3/2) becomes (4.5 - 1.5), so the result will be 3.
2. (6 - 1/2) becomes (6 - 0.5), so the result will be 5.5.
3. Divide 3 by 5.5, which equals to about 0.5454545. The provided answers are in fraction form, so this can be converted to the fraction 6/11.

So, the equivalent fraction is 6/11 (option e).

Learn more about Order of Operations