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imknutson962
22.06.2019 •
Mathematics
Answer asap and if you do you will get brainliest. catherine buys a gallon of ice cream from the store. after taking it home, she eats a fifth of a gallon of ice cream. her sister eats some of the ice cream as well. if two-thirds of the original amount of ice cream is left, then what fraction of a gallon of ice cream did her sister eat?
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Ответ:
Catherine's sister ate 2/15 gallons of the ice cream.
Step-by-step explanation:
Let
be the amount of ice cream that Catherine's sister ate, in gallons.
Original amount: 1 gallon.What Catherine ate:Consider the relationship:
That is:
Add
to both sides of this equation:
Substract
from both sides:
Convert the denominator of all three numbers on the left-hand side to![3 \times 5 = 15](/tpl/images/0002/1079/718bd.png)
In other words, Catherine's sister ate
gallons of the ice cream.
Ответ:
To solve this, we need to add the 1/5 of the ice cream to the 2/3 left of ice cream to find out how much her sister ate.
First, we need a common denominator. We can multiply 3 by 5 to get a common denominator easiest, since they are both multiples of it.
3*5=15
Now multiply the numerators by the amount the denominators were multiplied by.
1*3=3 so 3/15
2*5=10 so 10/15
Now, add them together.
10/15+3/15= 13/15.
Finally, subtract that amount from the original full amount of ice cream (15/15) to get the amount her sister ate, since that is the only unknown value left.
15/15-13/15=2/15.
Because 15 isn’t divisible by 2, we can’t simplify this fraction anymore.
Her sister ate 2/15 of a gallon of ice cream.
Hope this helps!
Ответ:
its most likely step 2