If 2/9 gallon of water fills a bucket 3/5 full, how many gallons of water are needed to fill the bucket?
(2/9) gal / (3/5) buc = x gal/1 buc
multiply top and bottom of left fraction by 45
10 gal/27 buc = x gal/1 buc
10 gal = 27 buckets
10/27 gal = 1 bucket
To find the total amount of water needed to fill the bucket, we can set up a proportion based on the given information.
First, let's represent the unknown amount of water needed as "x" in gallons.
Since 2/9 gallon fills the bucket 3/5 full, we can set up the proportion:
(2/9) / (3/5) = x / 1
To solve this proportion, we can cross-multiply:
2/9 * 1 = 3/5 * x
2/9 = 3/5 * x
Next, we can isolate "x" by multiplying both sides by the reciprocal of 3/5, which is 5/3:
(2/9) * (5/3) = (3/5) * (5/3) * x
10/27 = 1 * x
Thus, x = 10/27 gallon.
Therefore, approximately 0.37 gallons (to two decimal places) of water are needed to fill the bucket.