Sara left a bin outside in her garden to collect rainwater. She notices that 1/8 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. Explain your answer in words.
Let x be the amount of water that will fill the entire bin in gallons.
We can set up the equation: (1/8) = (2/3)x.
To solve for x, we can multiply both sides of the equation by (8/1) to get rid of the fraction: x = (8/1)(1/8)(2/3).
Multiplying the numbers, we get x = 1/3 or 0.33 gallons.
Therefore, 0.33 gallons of water will fill the entire bin.