413,549 views
3 votes
3 votes
Bill has 23 3/4 gallons of water in his aquarium. He adds 18 3/5 more gallons. How much water is in his aquarium?

User Sunil Sharma
by
3.1k points

1 Answer

10 votes
10 votes
Answer:

The total amount of water in the aquarium is 42 7/20 gallons.

Explanations:

From the question given, the initial gallons of water that Bill has is 23 3/4. If he adds 18 3/5 more gallons to it, the amount of water in his aquarium is expressed as:


Total\text{ amount = 23 }(3)/(4)+18(3)/(5)

Convert to improper fraction


\begin{gathered} \text{Total amount = }(95)/(4)+(93)/(5) \\ \end{gathered}

Find the LCM:


\begin{gathered} \text{Total Amount = }(5(95)+4(93))/(20) \\ \text{Total Amount = }(475+372)/(20) \\ \text{Total Amount = }(847)/(20) \end{gathered}

Convert the result back to mixed fraction:


\text{Total Amount = }42(7)/(20)

This shows that the total amount of water in the aquarium is 42 7/20 gallons.

User Hanmant
by
2.6k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.