Question

Amaya has an inflatable pool that she filled 34
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

37
3 sevenths

920
9 over 20

1840
18 over 40

16
1 sixth
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Answer 1

To find out how much water was lost from the pool, we need to calculate the difference between the initial volume of water and the final volume of water in the pool.

Initially, the pool was filled to \( \frac{3}{4} \) full, and after playing, it was \( \frac{3}{10} \) full.

Now we need to find the difference:

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

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

Now we'll convert both fractions to have this common denominator:

\[
\frac{3}{4} = \frac{3 \times 5}{4 \times 5} = \frac{15}{20}
\]
\[
\frac{3}{10} = \frac{3 \times 2}{10 \times 2} = \frac{6}{20}
\]

Now we can subtract the two fractions:

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

So, the amount of water that was lost from the pool is \( \frac{9}{20} \).

Among the given responses, the correct one is:

**9 over 20**.