Question

find the time-and-a-half pay rate by multiplying the hourly wage, $32 by $1\frac{1}{2}$.

when the hourly wage is $32, the time-and-a-half pay rate is $\square$.
(simplify your answer.)

Explanation:

Step1: Convert the mixed number to an improper fraction

The mixed number \(1\frac{1}{2}\) can be converted to an improper fraction. To do this, we multiply the whole number part (1) by the denominator (2) and add the numerator (1), then put it over the denominator. So, \(1\frac{1}{2}=\frac{1\times2 + 1}{2}=\frac{3}{2}\).

Step2: Multiply the hourly wage by the fraction

We need to multiply the hourly wage of \$32 by \(\frac{3}{2}\). So, \(32\times\frac{3}{2}\). We can simplify this by dividing 32 by 2 first, which gives 16, and then multiplying by 3. So, \(16\times3 = 48\).

Answer:

48