Amaya has an inflatable pool that she filled 3/4 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 answer

To find out how much water was lost from the inflatable pool, we need to subtract the amount of water left in the pool from the amount that was originally in the pool.

  1. Original amount of water: \( \frac{3}{4} \)

  2. Amount of water left: \( \frac{3}{10} \)

Now, we need to subtract the two fractions:

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

To perform the subtraction, we need a common denominator. The least common multiple (LCM) of 4 and 10 is 20.

Next, we convert both fractions to have a denominator of 20:

  • For \( \frac{3}{4} \): \[ \frac{3}{4} = \frac{3 \times 5}{4 \times 5} = \frac{15}{20} \]

  • For \( \frac{3}{10} \): \[ \frac{3}{10} = \frac{3 \times 2}{10 \times 2} = \frac{6}{20} \]

Now we can subtract the two fractions:

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

Thus, the amount of water lost is:

\[ \frac{9}{20} \]

So, Amaya lost \( \frac{9}{20} \) of the water from the pool.