Mr. Maners has [tex]\(\frac{2}{5}\)[/tex] of a gallon of orange juice, [tex]\(\frac{1}{4}\)[/tex] of a gallon of pineapple juice, and [tex]\(\frac{3}{10}\)[/tex] of a gallon of mango juice. How much juice does Mr. Maners have in total?

A. [tex]\(\frac{9}{20}\)[/tex]
B. [tex]\(\frac{18}{20}\)[/tex]
C. [tex]\(\frac{19}{20}\)[/tex]
D. [tex]\(1 \frac{1}{20}\)[/tex]

Unanswered: [tex]\(\square\)[/tex]

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Sure, let's find out how much juice Mr. Maners has in total by adding the amounts of the different juices together.

1. Identify the fractions:
- Orange juice: [tex]\( \frac{2}{5} \)[/tex]
- Pineapple juice: [tex]\( \frac{1}{4} \)[/tex]
- Mango juice: [tex]\( \frac{3}{10} \)[/tex]

2. Find a common denominator:

To add these fractions, we need a common denominator. Let's choose 20, which is a common multiple of 5, 4, and 10.

3. Convert each fraction to have the common denominator of 20:
- For orange juice:
[tex]\( \frac{2}{5} = \frac{2 \times 4}{5 \times 4} = \frac{8}{20} \)[/tex]

- For pineapple juice:
[tex]\( \frac{1}{4} = \frac{1 \times 5}{4 \times 5} = \frac{5}{20} \)[/tex]

- For mango juice:
[tex]\( \frac{3}{10} = \frac{3 \times 2}{10 \times 2} = \frac{6}{20} \)[/tex]

4. Add the fractions:
- Combine the numerators:
[tex]\( \frac{8}{20} + \frac{5}{20} + \frac{6}{20} = \frac{8 + 5 + 6}{20} = \frac{19}{20} \)[/tex]

5. Conclusion:
- The total amount of juice Mr. Maners has is [tex]\( \frac{19}{20} \)[/tex] of a gallon.

Therefore, the correct answer is [tex]\( \frac{19}{20} \)[/tex].