Test of Essential Academic Skills (TEAS) ATI Mathematics Practice Test

What is the simplified result of the expression: (1/4) x (3/5) / 1 (1/8)?

1. 8/15

2. 27/160

3. 2/15

4. 27/40

The correct answer is: 2/15

To simplify the expression \((1/4) \times (3/5) / 1 (1/8)\), it's important to break it down step by step. First, clarify the operations involved in the expression. The part \(1(1/8)\) implies multiplication; thus, it simplifies to just \((1/8)\). Therefore, the expression can be rewritten as: \[ \frac{(1/4) \times (3/5)}{(1/8)} \] Next, perform the multiplication in the numerator: \[ (1/4) \times (3/5) = \frac{1 \times 3}{4 \times 5} = \frac{3}{20} \] Now, we simplify the expression further by dividing \(\frac{3}{20}\) by \(\frac{1}{8}\). Dividing by a fraction is equivalent to multiplying by its reciprocal: \[ \frac{3}{20} \div \frac{1}{8} = \frac{3}{20} \times \frac{8}{1} = \frac{3 \times 8}{20 \times 1} = \frac