A water bottleis `3/5` and `1/7` of the water is drawn. How much water is remaining in the bottle ?

Options

A. `16/35`
B. `17/35`
C. `8/17`
D. `2/35`

Explanation

To find out how much water is remaining in the bottle after drawing out a certain amount, we can follow these steps:

### Step 1: Understand the initial amount of water in the bottle
The water bottle initially has \( \frac{3}{5} \) of its capacity filled with water.

### Step 2: Determine the amount of water drawn from the bottle
We are told that \( \frac{1}{7} \) of the water in the bottle is drawn out. To find out how much water that is, we need to calculate \( \frac{1}{7} \) of \( \frac{3}{5} \).

### Step 3: Calculate the amount of water drawn
To calculate \( \frac{1}{7} \) of \( \frac{3}{5} \), we multiply the two fractions:
\[ \frac{1}{7} \times \frac{3}{5} = \frac{3}{35} \]

### Step 4: Subtract the drawn water from the initial amount
Now, we need to subtract the amount of water drawn from the initial amount of water in the bottle:
\[ \text{Remaining water} = \frac{3}{5} - \frac{3}{35} \]

### Step 5: Find a common denominator
The denominators are 5 and 35. The least common multiple of 5 and 35 is 35. We need to convert \( \frac{3}{5} \) to a fraction with a denominator of 35:
\[ \frac{3}{5} = \frac{3 \times 7}{5 \times 7} = \frac{21}{35} \]

### Step 6: Perform the subtraction
Now we can subtract:
\[ \frac{21}{35} - \frac{3}{35} = \frac{21 - 3}{35} = \frac{18}{35} \]

### Step 7: Conclusion
The amount of water remaining in the bottle is \( \frac{18}{35} \).

---