ASVAB Practice Test

Question: 1 / 400

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

3/4

To determine the value of \( k \) in the equation \( (4/3) * (3/4) = 5k \), we first simplify the left side of the equation.

When we multiply \( (4/3) \) and \( (3/4) \), we can observe that the \( 3 \) in the numerator of \( (4/3) \) and the \( 3 \) in the denominator of \( (3/4) \) will cancel each other out. The same applies to the \( 4 \) in the numerator of \( (3/4) \) and the \( 4 \) in the denominator of \( (4/3) \). Hence, we are left with:

\[

(4/3) * (3/4) = (4*3)/(3*4) = 12/12 = 1

\]

Now the equation simplifies to:

\[

1 = 5k

\]

Next, to isolate \( k \), we divide both sides of the equation by \( 5 \):

\[

k = 1/5

\]

So, the value of \( k \) is \( 1

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