if a person walks 3/4 of a mile in each 2/3 hour how far does he walk in a hour
(3/4 mi) / (2/3 hr) = ? mi/hr
3/4 mi / (2/3) hr * (3/3 )= 3*(3 /4) / (2/3 * 3) = 9/8 = 1 1/8 mi/hr
or just
3/4 * 3/2 = 9/8
To find out how far the person walks in an hour, we can use the concept of unit rates.
First, we need to determine the distance covered during the time period of 2/3 hour. To do that, we divide 3/4 mile by 2/3 hour:
(3/4 mile) ÷ (2/3 hour)
To divide fractions, we multiply by the reciprocal of the second fraction:
(3/4 mile) × (3/2 hour)
Now, we can calculate the distance walked during the time period of 2/3 hour:
(3/4) × (3/2) = 9/8 mile
Next, we need to determine how far the person would walk in 1 hour. To do so, we multiply the distance covered in 2/3 hour by 3/2:
(9/8 mile) × (3/2 hour)
To multiply fractions, we multiply the numerators together and the denominators together:
(9/8) × (3/2) = 27/16 mile
Therefore, the person walks 27/16 mile in 1 hour.