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2 votes
2 votes
Word Problem On Division

1. a cup can hold 2/9 ( fraction) litres of water. how many cups of water can be filled with 3 litre bottle?

User Keltar
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1 Answer

11 votes
11 votes
Answer is 13-1/2 cups
Step by step
We know 1 cup is = 2/9 of a liter
We know we are working with 3 liters = how many cups
So first I want my 3 liters in a like denominator based fraction
1 liter is = 9/9 so 3 liters is = 27/9
I want to divide 27/9 by 2/9, the part of a liter that equals 1 cup
When I divide a fraction, I flip one fraction and multiply
27/9 x 9/2 = 243/18, simplify to 13-1/2 cups
Problem solved

You can check your work
Multiply 13-1/2 cups x 2/9
Change your whole number to a mixed fraction
27/2 x 2/9 = 54/18, simplify it equals 3 liters!

User Danny Lin
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2.8k points