Question

A tank held 3l of water alia use 5/6 l for cooking and 1/3 l for watering plant left water in the tank

Answer 1

To find out how much water is left in the tank after Ali uses some for cooking and watering plants, let's break it down:

1. **Initial amount of water in the tank**: 3 liters
2. **Water used for cooking**: \( \frac{5}{6} \) liters
3. **Water used for watering plants**: \( \frac{1}{3} \) liters

### Step 1: Convert the fractions to a common denominator
The denominators of the fractions \( \frac{5}{6} \) and \( \frac{1}{3} \) are 6. We can convert \( \frac{1}{3} \) to a fraction with a denominator of 6:

\[
\frac{1}{3} = \frac{2}{6}
\]

### Step 2: Total water used
Now, add the two amounts of water used.

\[
\text{Total water used} = \frac{5}{6} + \frac{2}{6} = \frac{7}{6} \text{ liters}
\]

### Step 3: Calculate water left in the tank
Subtract the total water used from the initial amount of water in the tank:

\[
\text{Water left} = 3 - \frac{7}{6}
\]

First, convert 3 liters to a fraction with a denominator of 6:

\[
3 = \frac{18}{6}
\]

Now, subtract:

\[
\text{Water left} = \frac{18}{6} - \frac{7}{6} = \frac{11}{6} \text{ liters}
\]

### Conclusion
The amount of water left in the tank is \( \frac{11}{6} \) liters, which is equal to approximately 1.83 liters.