James left a bin outside in his garden to collect rainwater. He notices that 1 over 4 gallon of water fills 2 over 3 of the bin. Write and solve an equation to find the amount of water that will fill the entire bin.

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James left a bin outside in his garden to collect rainwater. He notices that 1 over 4 gallon of water fills 2 over 3 of the bin. Write and solve an equation to find the amount of water that will fill the entire bin.

Mathematics
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1/4 / 2/3 = x            1/4 * 3/2 = x  3/8 = x My answer . Am I on the right track?
@jim_thompson5910 am I the right track here
Yeah you'll start off with |dw:1434583598280:dw|

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Other answers:

solving for x and simplifying does give x = 3/8
3/8+1/4? not sure
no it's just 3/8
thanks wasn't sure about the last part of it
|dw:1434583806910:dw|
let's fill the bin 2/3 full |dw:1434583824576:dw|
we need 1/4 of a gallon to fill up 2/3 of the bin so we need 1/8 of a gallon to fill up 1/3 of the bin (I cut each fraction in half) |dw:1434583879585:dw|
|dw:1434583894720:dw|
since it takes 1/8 of a gallon to fill 1/3 of the bin it will take 3*(1/8) = 3/8 of a gallon to fill the entire bin (3/3 = 100% of the bin) |dw:1434583949270:dw|
so basically we need 1/8 more to fill bin
1/8 gets you a third of the way another 1/8 gets you 2/3 of the way 1/8+1/8 = 2/8 = 1/4
and yet another 1/8 fills the entire bin 1/8+1/8+1/8 = 3/8
got it
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I'm just realizing that 8 pints = 1 gallon so 1 pint = 1/8 of a gallon
you can think of this in terms of pints 1 pint gets you 1/3 of the way |dw:1434584139425:dw|
|dw:1434584158707:dw|
|dw:1434584170459:dw|
love your explanation @jim_thompson5910

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