Final answer:
Eleanor practices piano for ¾ of an hour daily, totaling to 5¼ hours of practice over the course of a seven-day week.
Step-by-step explanation:
To calculate how long Eleanor practices piano in a week, we need to multiply the daily practice time by the number of days she practices in a week.
Eleanor practices for ¾ hour every day. There are 7 days in a week. So, her total weekly practice time will be:
¾ hour/day × 7 days/week = ⅔× 7 hours/week
To perform the multiplication, convert the mixed number to an improper fraction:
¾ becomes 3/4 because it is already a fraction
Now, multiply the fractions:
3/4 × 7/1 = 21/4 hours
To convert this improper fraction to a mixed number, divide the numerator by the denominator:
21 ÷ 4 = 5 with a remainder of 1. So, 21/4 hours is equal to 5¼ hours.
Therefore, Eleanor practices for 5¼ hours in a week.