Amaya has an inflatable pool that she filled 34

Question

full for her cousin on a hot summer day. After playing all day, the pool was 310
full. How much of the water was lost? Simplify your answer. (1 point)

Answer 1

To determine how much water was lost from the pool, we can subtract the amount of water left in the pool from the amount of water initially filled.

1. The pool was initially filled to \( \frac{3}{4} \).
2. After playing, the pool was \( \frac{1}{10} \) full.

Now we need to calculate:

\[ \text{Water lost} = \text{Initial amount} - \text{Remaining amount} = \frac{3}{4} - \frac{1}{10} \]

To perform this subtraction, we need a common denominator. The least common multiple of 4 and 10 is 20.

Now we convert both fractions:

1. Convert \( \frac{3}{4} \) to a fraction with a denominator of 20: \[ \frac{3}{4} = \frac{3 \times 5}{4 \times 5} = \frac{15}{20} \]

2. Convert \( \frac{1}{10} \) to a fraction with a denominator of 20: \[ \frac{1}{10} = \frac{1 \times 2}{10 \times 2} = \frac{2}{20} \]

Now we can subtract the two fractions:

\[ \frac{15}{20} - \frac{2}{20} = \frac{15 - 2}{20} = \frac{13}{20} \]

Thus, the amount of water lost from the pool is \( \frac{13}{20} \).