Question

Kurt spent $96.39 over 4 1/4 months on movie streaming services. If he spent the same amount of money each month, how much money, in dollars, did Kurt spend per month on movie streaming services?

Answer 1

To find out how much money Kurt spent per month on movie streaming services, we start by converting the total expenditure into a monthly rate.

Kurt spent a total of \( 96.39 \) dollars over \( 4 \frac{1}{4} \) months. First, we need to convert \( 4 \frac{1}{4} \) months into an improper fraction or a decimal.

\[
4 \frac{1}{4} = 4 + \frac{1}{4} = \frac{16}{4} + \frac{1}{4} = \frac{17}{4} \text{ months}
\]

Next, we divide the total amount spent by the number of months to find the monthly expenditure.

\[
\text{Monthly expenditure} = \frac{\text{Total expenditure}}{\text{Total months}} = \frac{96.39}{\frac{17}{4}}
\]

To divide by a fraction, we multiply by its reciprocal:

\[
\frac{96.39}{\frac{17}{4}} = 96.39 \times \frac{4}{17}
\]

Calculating the right side:

1. Calculate \( 96.39 \times 4 \):

\[
96.39 \times 4 = 385.56
\]

2. Now, divide \( 385.56 \) by \( 17 \):

\[
\text{Monthly expenditure} = \frac{385.56}{17}
\]

Now we perform the division:

\[
385.56 \div 17 \approx 22.678
\]

Thus, Kurt spent approximately:

\[
\boxed{22.68}
\]

dollars per month on movie streaming services (rounded to two decimal places).