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:
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21 hours
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Mathml image hours
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.
To find out how many hours James trained each week, we need to multiply the number of hours he trained in a day by the number of days in a week.
James trained for 3 1/2 hours every day, which can be written as 7/2 hours.
There are 7 days in a week.
To calculate the number of hours James trained each week, we multiply the number of hours he trained each day by the number of days in a week:
(7/2) hours/day * 7 days/week = 49/2 hours/week.
Now, let's reduce this to lowest terms.
49/2 can be simplified to 24 1/2.
So, James trained 24 1/2 hours each week.
To solve this problem, we need to find the number of hours James trained each week.
To find the number of hours James trained each week, we need to multiply the number of hours he trained each day by the number of days in a week.
Given that James trained for 3 1/2 hours every day, we need to convert the mixed number 3 1/2 to an improper fraction.
To do this, we multiply the whole number (3) by the denominator (2) and add the numerator (1). This gives us 3 * 2 + 1 = 7. So 3 1/2 is equivalent to 7/2.
Next, we multiply the resulting fraction (7/2) by the number of days in a week (7).
(7/2) * 7 = 7 * 7 / 2 = 49 / 2.
Therefore, James trained for 49/2 hours each week.
To reduce this fraction to its lowest terms, we need to find the greatest common divisor (GCD) of the numerator (49) and the denominator (2).
The GCD of 49 and 2 is 1.
We divide both the numerator and the denominator by the GCD to simplify the fraction:
(49 / 1) / (2 / 1) = 49 / 2.
So, James trained for 24 1/2 hours each week.
Therefore, the correct answer is 24 1/2 hours.