A carton contains 1 8/9 liters of apple juice. Rosalia drinks 1/6 liter of the juice every day. How much apple juice is left in the carton after a week?
13/18.
After a week Rosalia drinks 13/18 liters of the apple juice.
13/18
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To find out how much apple juice is left in the carton after a week, we need to calculate the amount of juice Rosalia drinks every day and then subtract it from the initial amount in the carton.
First, let's find out how much juice Rosalia drinks per day. We are given that Rosalia drinks 1/6 liter of juice every day.
To calculate the amount of juice Rosalia drinks in a week, we need to multiply the amount per day by the number of days in a week. There are 7 days in a week, so we do the following calculation:
(1/6) * 7 = 7/6 = 1 1/6
Therefore, Rosalia drinks 1 1/6 liters of juice in a week.
Now, to find out how much apple juice is left in the carton after a week, we subtract the amount Rosalia drinks from the initial amount in the carton.
Given that the carton contains 1 8/9 liters of apple juice, we subtract 1 1/6 liters from it:
1 8/9 - 1 1/6 = (17/9) - (7/6)
To subtract fractions, we need a common denominator. In this case, the lowest common denominator is 18.
(17/9) - (7/6) = (34/18) - (21/18) = 13/18
Therefore, after a week, there will be 13/18 liters of apple juice left in the carton.
1 8/9 - days*1/6= amount left
days=7