To find out how much of the water was lost from the inflatable pool, we need to subtract the amount of water left in the pool from the amount of water it was filled with.
The pool was initially filled to \( \frac{3}{4} \) and then it was \( \frac{3}{10} \) full after playing.
Let's perform the subtraction:
\[ \text{Water lost} = \text{Initial water} - \text{Water left} = \frac{3}{4} - \frac{3}{10} \]
To subtract these fractions, we need to find a common denominator. The least common multiple of 4 and 10 is 20.
Now, we 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 subtract the two fractions:
\[ \frac{15}{20} - \frac{6}{20} = \frac{15 - 6}{20} = \frac{9}{20} \]
Therefore, the amount of water lost is
\[ \frac{9}{20} \]
Thus, Amaya lost \( \frac{9}{20} \) of the water from the pool.
1 answer