Over the course of four weeks Mia spent 35 1/2
hours training for a race. Michael spent 1 1/2
times that amount training for the same race. How many hours did Michael spend training?
Responses
To find out how many hours Michael spent training, we need to multiply 35 1/2 hours by 1 1/2.
To multiply a whole number by a fraction, we multiply the whole number by the numerator and divide by the denominator:
35 1/2 * 1 1/2 = (35 * 2 + 1) / 2 * 3/2
= (70 + 1) / 2 * 3/2
= 71 / 2 * 3/2
= 71 * 3 / 2 * 2
= 213 / 4
Therefore, Michael spent 53 1/4 hours training for the race.
To find out how many hours Michael spent training, we need to find 1 1/2 times the amount of time Mia spent training.
First, let's convert 35 1/2 to an improper fraction:
35 1/2 = (2 * 35 + 1) / 2 = 71/2
Next, let's find 1 1/2 times 71/2:
(3/2) * (71/2) = (3 * 71) / (2 * 2) = 213/4
So, Michael spent 213/4 hours training.
In mixed number form, this is 53 1/4 hours.
To find out how many hours Michael spent training, we need to calculate 1 1/2 times the number of hours Mia spent training.
First, let's convert 35 1/2 hours into a mixed number. The 1/2 can be represented as 1 divided by 2, which equals 0.5. So, 35 1/2 hours can be written as 35 + 0.5 = 35.5 hours.
Now, let's calculate 1 1/2 times 35.5 hours. To do this, we can first convert 1 1/2 into an improper fraction. The 1 represents one whole, so it can be written as 1 multiplied by the denominator of the fraction, which is 2. Then, we add the numerator, which is 1, to get 2. So, 1 1/2 can be written as 2/2 + 1/2 = 3/2.
To calculate 3/2 times 35.5, we simply multiply the numerators (3 * 35.5) and the denominators (2 * 1). This gives us:
(3/2) * 35.5 = (3 * 35.5) / (2 * 1) = 106.5 / 2 = 53.25
Therefore, Michael spent 53.25 hours training for the race.