Canadian Forces Aptitude Test (CFAT) Practice

What is the result of the calculation 0.75 ÷ (3/4) - 0.75 - (3/8) + 0.375 - (3/8) - 0.0625 - (1/8)?

1. 2

2. 0

3. 1

4. -1

The correct answer is: 1

In the given expression, we start by simplifying the calculation step by step. First, we perform the division \(0.75 ÷ (3/4)\). To divide by a fraction, we multiply by its reciprocal, which gives us: \[ 0.75 ÷ (3/4) = 0.75 \times \frac{4}{3} = 1.0 \] Next, we substitute this result back into our expression, which now reads: \[ 1.0 - 0.75 - (3/8) + 0.375 - (3/8) - 0.0625 - (1/8) \] The next step is simplifying each subtraction. Starting from the left, we have: \[ 1.0 - 0.75 = 0.25 \] Now we substitute this into the equation: \[ 0.25 - (3/8) + 0.375 - (3/8) - 0.0625 - (1/8) \] To continue, we convert \(0.25\) into eighths for easier calculation: \[ 0.25 = \frac{2}{8}