Question

Sandra jar contained 5/8 l of water after using 2/9 l left how much he used

Answer 1

To find out how much water Sandra used from the jar, we can subtract the amount of water left in the jar from the amount that was initially in the jar.

1. **Initial amount of water**: \( \frac{5}{8} \) liters
2. **Amount of water left after use**: \( \frac{2}{9} \) liters

To find the amount used, we first need to determine how much was left in the jar:

\[
\text{Amount used} = \text{Initial amount} - \text{Amount left}
\]

Since we need a common denominator to perform the subtraction, we can find the least common multiple of 8 and 9, which is 72.

Now we convert both fractions:

- For \( \frac{5}{8} \):

\[
\frac{5}{8} = \frac{5 \times 9}{8 \times 9} = \frac{45}{72}
\]

- For \( \frac{2}{9} \):

\[
\frac{2}{9} = \frac{2 \times 8}{9 \times 8} = \frac{16}{72}
\]

Now we can subtract:

\[
\text{Amount used} = \frac{45}{72} - \frac{16}{72} = \frac{45 - 16}{72} = \frac{29}{72}
\]

Thus, the amount of water Sandra used is \( \frac{29}{72} \) liters.