ASVAB Practice Test

If (4/3) * (3/4) = 5k, then k = ?

1. 3/4

2. 1/5

3. 5

4. 1

The correct answer is: 3/4

To solve for \( k \) in the equation \( (4/3) * (3/4) = 5k \), we first simplify the left side of the equation. When you multiply \( (4/3) * (3/4) \), the \( 4 \) in the numerator cancels with the \( 4 \) in the denominator, and the \( 3 \) in the numerator cancels with the \( 3 \) in the denominator. Thus, this multiplication simplifies to: \[ 1 = 5k \] Next, to isolate \( k \), divide both sides by \( 5 \): \[ k = \frac{1}{5} \] This shows that when \( k \) is evaluated, it equals \( \frac{1}{5} \). Therefore, the correct answer is \( \frac{1}{5} \), which matches the choice provided in the set of answers.