Canadian Forces Aptitude Test (CFAT) Practice

What is the result of the expression: 22/9 divided by 11/3 - 1/4 divided by 1/8?

1. -3/4

2. 0

3. -4/3

4. 1/2

The correct answer is: -4/3

To find the result of the expression 22/9 divided by 11/3 - 1/4 divided by 1/8, we start by simplifying each division step separately. First, consider the term 22/9 divided by 11/3. Dividing by a fraction is equivalent to multiplying by its reciprocal, so we can rewrite this as: 22/9 * 3/11. When we simplify this, we multiply the numerators (22 * 3) and the denominators (9 * 11), resulting in: 66/99. This simplifies further since both numerator and denominator can be divided by 33, yielding: 2/3. Next, we look at the second division, 1/4 divided by 1/8. Again, we will multiply by the reciprocal: 1/4 * 8/1. Upon simplification, this equals: 8/4, which reduces to: 2. Now, we combine the results from the two calculations: 2/3 - 2. To perform the subtraction, we convert 2 into a fraction with a common denominator: 2 can be rewritten as 6/3 (since 6 divided by 3 equals 2). We