## anonymous one year ago 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.

1. anonymous

1/4 / 2/3 = x            1/4 * 3/2 = x  3/8 = x My answer . Am I on the right track?

2. anonymous

@jim_thompson5910 am I the right track here

3. jim_thompson5910

Yeah you'll start off with |dw:1434583598280:dw|

4. jim_thompson5910

solving for x and simplifying does give x = 3/8

5. anonymous

3/8+1/4? not sure

6. jim_thompson5910

no it's just 3/8

7. anonymous

thanks wasn't sure about the last part of it

8. jim_thompson5910

|dw:1434583806910:dw|

9. jim_thompson5910

let's fill the bin 2/3 full |dw:1434583824576:dw|

10. jim_thompson5910

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|

11. jim_thompson5910

|dw:1434583894720:dw|

12. jim_thompson5910

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|

13. anonymous

so basically we need 1/8 more to fill bin

14. jim_thompson5910

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

15. jim_thompson5910

and yet another 1/8 fills the entire bin 1/8+1/8+1/8 = 3/8

16. anonymous

got it

17. anonymous

18. jim_thompson5910

I'm just realizing that 8 pints = 1 gallon so 1 pint = 1/8 of a gallon

19. jim_thompson5910

you can think of this in terms of pints 1 pint gets you 1/3 of the way |dw:1434584139425:dw|

20. jim_thompson5910

|dw:1434584158707:dw|

21. jim_thompson5910

|dw:1434584170459:dw|

22. anonymous