Amaya has an inflatable pool that she filled 3/4

Question

full for her cousin on a hot summer day. After playing all day, the pool was 3/10
full. How much of the water was lost? Simplify your answer.(1 point)
Responses

3/7
3 sevenths

9/20
9 over 20

18/40
18 over 40

1/6

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 in the pool.

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

We need to calculate the difference:

\[ \frac{3}{4} - \frac{3}{10} \]

To subtract these fractions, we need a common denominator. The least common multiple of 4 and 10 is 20.

Now convert both fractions to have a denominator of 20:

\[ \frac{3}{4} = \frac{3 \times 5}{4 \times 5} = \frac{15}{20} \]

\[ \frac{3}{10} = \frac{3 \times 2}{10 \times 2} = \frac{6}{20} \]

Now we can perform the subtraction:

\[ \frac{15}{20} - \frac{6}{20} = \frac{15 - 6}{20} = \frac{9}{20} \]

Thus, the amount of water lost is \( \frac{9}{20} \).

The simplified answer is:

9/20