Question

Solve this problem. Reduce to lowest terms.

James trained for the Boston marathon for 3 1/2 hours every day. How many hours did he train each week?

Select the correct answer.

Question 3 options:

Mathml image hours


21 hours


Mathml image hours


Mathml image hours

Answer 1

To find the number of hours James trained each week, we need to find the product of the number of hours he trained each day (3 1/2) and the number of days in a week (7).

First, let's convert the mixed number 3 1/2 to an improper fraction.

3 1/2 = (7/2) + 1/2 = 7/2 + 2/2 = 9/2

Now we multiply the improper fraction 9/2 by 7 to get the total number of hours he trained each week.

(9/2) * 7 = (9*7) / 2 = 63/2

To reduce this fraction to lowest terms, we can divide both the numerator and denominator by their greatest common factor, which is 1.

63/2 = 63 ÷ 1 / 2 ÷ 1 = 63/2 = 31.5

Therefore, James trained for 31.5 hours each week.