1. You have that<span> 1/2 gallon of water fills 2/3 of the bin.
2. Therefore, you must use proportions.
3. Let's call "x" to </span><span>the amount of water that will fill the entire bin. Then, you have:
</span><span>
(1/2)/(2/3)=(x/3/3)
</span><span> 1/2)/(2/3)=(x/1)
</span><span>
4. Now, you must clear "x", as below:
(</span><span>1x3/2x2)=(x/1)
3/4=x
x=3/4
</span> The <span>amount of water that will fill the entire bin</span><span> is 3/4 gallons.
</span>
3:4 is the answer. Look at it like a pattern. 9:12, 3 goes into both of them, 12:15, 3 goes into both of them, 12:16, 4 goes into both of them. However nothing goes into both the numbers in 3:4.
