Question

the owner of an aquatic store used 17 1/2 gallons of water to fill aquariums. he puts 5 5/6 gallons of water in each aquarium. how many aquariums. how many aquariums did he fill?

Answer 1

He fills 3 tanks. Hope this helps!

Answer 2

Answer:

3 aquariums.

Step-by-step explanation:

We have been given that the owner of an aquatic store used 17 1/2 gallons of water to fill aquariums. He puts 5 5/6 gallons of water in each aquarium.

To find the number of aquariums filled by the owner, we will divide total amount of water by amount needed to fill one aquarium.

$\text{Aquariums filled by the owner}=17\frac{1}{2}\div 5\frac{5}{6}$

Convert mixed fractions into improper fractions:

$17\frac{1}{2}\Rightarrow\frac{17\times 2+1}{2}=\frac{34+1}{2}=\frac{35}{2}$

$5\frac{5}{6}\Rightarrow\frac{5\times 6+5}{6}=\frac{30+5}{6}=\frac{35}{6}$

$\text{Aquariums filled by the owner}=\frac{35}{2}\div \frac{35}{6}$

Convert to multiplication problem by flipping second fraction:

$\text{Aquariums filled by the owner}=\frac{35}{2}\times \frac{6}{35}$

$\text{Aquariums filled by the owner}=\frac{6}{2}$

$\text{Aquariums filled by the owner}=3$

Therefore, the owner filled 3 aquariums.