Trina works after school and on weekends. she always works three days each week. this week she worked 2 3/4 hours on monday, 3 3/5 hours on friday and 5 1/2 hours on saturday. next week she plans to work the same number of hours as this week, but will work for the same number of hours each day. How many hours will she work each day?
total hours: 2 3/4 + 3 3/5 + 5 1/2 = 11 17/20
so, divide that by 3 for each day's work next week
3 19 over 20
Add the hour she works this week.
Divide that sum by 3 to find the number of hours she'll work each day next week.
Thanks
You're welcome.
To find out how many hours Trina will work each day next week, we need to first add up the total number of hours she worked this week.
She worked 2 3/4 hours on Monday, which can also be expressed as 11/4 hours.
She worked 3 3/5 hours on Friday, which can also be expressed as 18/5 hours.
She worked 5 1/2 hours on Saturday, which can also be expressed as 11/2 hours.
To add these fractions, we need to find a common denominator, which in this case is 20.
Converting the fractions to have a denominator of 20:
11/4 = 55/20
18/5 = 72/20
11/2 = 110/20
Now, we can add the fractions:
(55/20) + (72/20) + (110/20) = 237/20
So, Trina worked a total of 237/20 hours this week.
Next, we know that Trina will work the same number of hours as this week, but spread out over three days. To find out how many hours she will work each day, we need to divide the total number of hours by 3:
(237/20) ÷ 3
To divide fractions, we multiply the first fraction by the reciprocal of the second:
(237/20) × (1/3)
Multiply the numerators together and the denominators together:
(237 × 1) / (20 × 3) = 237/60
Now, we can simplify the fraction:
237/60 = 79/20
Therefore, Trina will work 79/20 hours each day next week.