Question

a 11\frac{3}{4} gallon fish tank contains an unknown amount of water. ellie adds 3.8 gallons of water into the fish tank to make it full. how many gallons of water were in the fish tank before adding more? enter answer gallons

Explanation:

Step1: Convert mixed number to decimal

The total capacity of the fish tank is \( 11\frac{3}{4} \) gallons. Convert \( \frac{3}{4} \) to decimal: \( \frac{3}{4}=0.75 \), so \( 11\frac{3}{4}=11 + 0.75 = 11.75 \) gallons.

Step2: Subtract added water from total

Let \( x \) be the initial amount of water. We know that \( x + 3.8 = 11.75 \). To find \( x \), subtract 3.8 from 11.75: \( x = 11.75 - 3.8 \). Calculate the subtraction: \( 11.75 - 3.8 = 7.95 \).

Answer:

\( 7.95 \)