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Neporo4naja [7]
3 years ago
15

5/4 gallons of water fill 5/6 of a bucket how many gallons of water fill the entire bucket

Mathematics
1 answer:
yulyashka [42]3 years ago
8 0

Answer:

\frac{3}{2} gallons

Step-by-step explanation:

If \frac{5}{4} gallons fill \frac{5}{6} of a bucket.

Then we can write the ratio;

\frac{5}{4}:\frac{5}{6}


Let x gallons fill the entire bucket which is equivalent to 1.

Then we can again write the ratio;

x:1


We can write the following equation of proportion to solve for x.

\frac{5}{4}:\frac{5}{6}=x:1


This implies that;

\frac{\frac{5}{4} }{\frac{5}{6} }=\frac{x}{1}

We simplify to get;

\frac{5}{4}\times \frac{6}{5} }=x


x=\frac{6}{4} =\frac{3}{2}


Therefore \frac{3}{2} gallons will fill the entire bucket


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