If 2/9 gallon of water fills a bucket 3/5 full, how many gallons of water are needed to fill the bucket?

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To find the number of gallons of water needed to fill the bucket, we can set up a proportion using the given information.

Let's assume that x represents the number of gallons needed to fill the bucket completely.

According to the given information, 2/9 gallon of water fills the bucket 3/5 full. So, our proportion becomes:

(2/9) gallon / (3/5) full = x gallons / 1 full

Simplifying the left side of the proportion, we have:

(2/9) / (3/5) = x / 1

To divide fractions, we can multiply the numerator by the reciprocal of the denominator. So, multiplying the left side, we get:

(2/9) * (5/3) = x / 1

Now, multiply the numerators and denominators:

(2 * 5) / (9 * 3) = x / 1

Simplifying further, we have:

10/27 = x

So, x = 10/27 gallon

Therefore, approximately 0.37 gallons of water are needed to fill the bucket completely.

2/9/(3/5) = X/1

X = 2/9 * 5/3 = 10/27 gal.