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?
To find out how many hours Michael spent training, we need to multiply Mia's training time by 1 1/2.
First, we convert Mia's training time of 35 1/2 hours to an improper fraction: 35 1/2 = 71/2.
Then, we multiply that number by 1 1/2: 71/2 * 3/2 = (71*3)/(2*2) = 213/4.
Therefore, Michael spent 213/4 hours training for the race.
To find the number of hours Michael spent training, we need to calculate 1 1/2 times the number of hours Mia spent training.
1 1/2 times 35 1/2 can be calculated as:
35 1/2 * 1 1/2
To multiply these fractions, we first need to convert them into improper fractions.
35 1/2 = (2 * 35) + 1 = 70 + 1 = 71/2
1 1/2 = (2 * 1) + 1 = 2 + 1 = 3/2
Now, multiply the two fractions:
71/2 * 3/2
To multiply fractions, multiply the numerators together and the denominators together:
71 * 3 = 213
2 * 2 = 4
So, 1 1/2 times 35 1/2 is equal to 213/4.
To convert this improper fraction into a mixed number, divide the numerator by the denominator:
213 รท 4 = 53 remainder 1
Therefore, Michael spent 53 1/4 hours training for the race.
To find out how many hours Michael spent training, we first need to calculate 1 1/2 times the amount Mia spent training.
Step 1: Convert the mixed number 1 1/2 to an improper fraction.
1 1/2 = (2 * 1 + 1) / 2 = 3/2
Step 2: Multiply the improper fraction 3/2 by the number of hours Mia spent training.
(3/2) * 35 1/2 = (3/2) * (71/2)
Step 3: Simplify the multiplication.
= (3 * 71) / (2 * 2)
= 213/4
Therefore, Michael spent 213/4 hours training for the race.