1 gallon of a concentrated disinfectant needs to be diluted with
3
2
3
3
3
2
​
gallons of water for cleaning.

Miya has
1
1
5
1
5
1
​
gallons of concentrated disinfectant, how much water does she need to dilute it for cleaning?

Miya has \( 1 \frac{1}{5} \) gallons of concentrated disinfectant. First, let's convert this to an improper fraction:

\[
1 \frac{1}{5} = \frac{6}{5} \, \text{gallons}
\]

Now, for each gallon of concentrated disinfectant, she needs \( 3 \frac{2}{3} \) gallons of water. Let's also convert \( 3 \frac{2}{3} \) into an improper fraction:

\[
3 \frac{2}{3} = \frac{11}{3} \, \text{gallons of water per gallon of disinfectant}
\]

Now, to find the total amount of water she needs, we multiply:

\[
\text{Total water needed} = \frac{6}{5} \times \frac{11}{3} = \frac{6 \times 11}{5 \times 3} = \frac{66}{15}
\]

Simplify \( \frac{66}{15} \):

\[
\frac{66}{15} = \frac{22}{5} = 4 \frac{2}{5}
\]

So, Miya needs \( 4 \frac{2}{5} \) gallons of water to dilute her disinfectant.

Do you want further details or have any questions?

Here are 5 related questions for further exploration:
1. What if Miya had \( 2 \frac{1}{3} \) gallons of disinfectant, how much water would she need?
2. How would the dilution change if she used \( 2 \frac{1}{3} \) gallons of water per gallon of disinfectant?
3. How can you calculate the total solution volume after dilution?
4. How much disinfectant and water are needed to make 10 gallons of diluted solution?
5. What is the ratio of disinfectant to the total solution after dilution?

**Tip**: Converting mixed numbers to improper fractions first often makes calculations easier when multiplying!

1 gallon of a concentrated disinfectant needs to be diluted with 3 2/3 gallons of water for cleaning. Miya has 1 1/5 gallons of concentrated disinfectant, how much water does she need to dilute it for cleaning?

Learn how to calculate the amount of water needed to dilute 1 1/5 gallons of concentrated disinfectant when the dilution ratio is 3 2/3 gallons of water per gallon of disinfectant. This step-by-step solution includes fraction multiplication and converting mixed numbers to improper fractions, suitable for students in Grades 6-8.

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