Question

Will give medal and will fan I you help!

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

Answer 1

@texaschic101 @iGreen

Answer 2

1/4/2/3 = x/1

Answer 3

That's a proportion..

Answer 4

\(\dfrac{0.25}{0.\overline 6} = \dfrac{x}{1}\)

Answer 5

it might be less confusing if you put the parenthesis
(1/4) / (2/3) = x/1
now cross multiply and solve for x

Answer 6

ok so it would be 2/12

Answer 7

No..you multiplied wrong..

Answer 8

We can just multiply 1 to both sides..

(1/4 * 1) / (2/3) = x

Answer 9

(1/4) / (2/3) = x/1
cross multiply
2/3x = 1/4
x = (1/4) / (2/3)
x = 1/4 * 3/2
x = ?? can you finish ?

Answer 10

Lol

Answer 11

An easier way is to just multiply 1 to both sides :P

(1/4 * 1) / (2/3) = x

(1/4) / (2/3) = x

1/4 * 3/2 = x

Answer 12

yes so it would be 3/8

Answer 13

BINGO :)

Answer 14

thanks guys you rock! so in words it would be (1/4) divided by (2/3)= x/1 then you have to multiply 1 to both sides which will equal (1/4) / (2/3) = x then we cross multiply 1/4 * 3/2 which equals 3/8

Answer 15

Yep, you got it.