Answer:
[tex]35 \frac{11}{15} \: \: gallons \: of \: \: water[/tex]
Step-by-step explanation:
The volume of water in the bathtub is 38⅓ gallons of water.
If
[tex]2 \frac{3}{5} [/tex]
gallons splash out, then the volume left is
[tex]38 \frac{1}{3} - 2 \frac{3}{5} [/tex]
We convert to improper fraction to get:
[tex]\frac{115}{3} - \frac{13}{5} [/tex]
We find LCM to get:
[tex] \frac{5 \times 115 - 3 \times 13}{15} [/tex]
[tex] \frac{575 - 39}{15} = \frac{536}{15} [/tex]
[tex] = 35 \frac{11}{15} [/tex]