Select the best answer.

Ralph spends [tex]\(15 \frac{1}{3}\)[/tex] hours per month playing tennis. How many hours does he play tennis in a year?

A. [tex]\(184 \frac{1}{3}\)[/tex]
B. 164
C. 184
D. [tex]\(182 \frac{2}{3}\)[/tex]



Answer :

To determine how many hours Ralph plays tennis in a year, let's break it down step by step.

1. Understand the monthly time commitment:
Ralph spends [tex]\( 15 \frac{1}{3} \)[/tex] hours per month playing tennis. This can be converted into an improper fraction:

[tex]\[ 15 \frac{1}{3} = 15 + \frac{1}{3} \][/tex]

2. Sum the total time spent per month:
Let's write this as a decimal for ease of calculation:

[tex]\[ 15 + \frac{1}{3} \approx 15.3333 \, \text{hours} \][/tex]

3. Calculate the yearly total:
There are 12 months in a year. So, Ralph's yearly time commitment for playing tennis is:

[tex]\[ 15.3333 \times 12 \][/tex]

4. Perform the multiplication:
Multiplying these together gives:

[tex]\[ 15.3333 \times 12 = 184 \][/tex]

So, Ralph spends approximately 184 hours per year playing tennis.

Therefore, the best answer is:
C. 184