https://file.aiquickdraw.com/mathbot/file/1726708532372k7nuvjlg.jpg

The problem on the image states:

"A water tank was filled with \( \frac{5}{6} \) of its capacity. If \( \frac{2}{3} \) of the water is used, how much water is left in the tank?"

### Let's solve this step-by-step:

1. **Initial water in the tank**: 
   The tank is filled with \( \frac{5}{6} \) of its capacity.

2. **Water used**: 
   \( \frac{2}{3} \) of the water that was initially in the tank is used. So, we need to calculate \( \frac{2}{3} \) of \( \frac{5}{6} \).

   \[
   \text{Water used} = \frac{2}{3} \times \frac{5}{6} = \frac{10}{18} = \frac{5}{9}
   \]

3. **Water left in the tank**:
   To find the water left in the tank, we subtract the amount used from the initial amount.

   \[
   \text{Water left} = \frac{5}{6} - \frac{5}{9}
   \]

   To subtract these fractions, we need a common denominator. The least common denominator of 6 and 9 is 18. Rewriting the fractions:

   \[
   \frac{5}{6} = \frac{15}{18}, \quad \frac{5}{9} = \frac{10}{18}
   \]

   Now, subtract:

   \[
   \frac{15}{18} - \frac{10}{18} = \frac{5}{18}
   \]

So, **\( \frac{5}{18} \) of the tank's capacity is left** after using the water.

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### Related Questions:
1. What is the tank's remaining capacity if 1/2 of the initial water had been used instead?
2. If the tank had been filled to 3/4 capacity instead, how much water would be left after using 2/3 of it?
3. How much water was used in terms of the total tank capacity?
4. If the tank had a total capacity of 180 liters, how much water is left in the tank?
5. What would happen if 100% of the water in the tank was used?

### Tip:
When working with fractions, always ensure to find a common denominator before adding or subtracting!

A water tank was filled with 5/6 of its capacity. If 2/3 of the water is used, how much water is left in the tank?

Solve the problem of a water tank initially filled to 5/6 of its capacity, where 2/3 of the water is used. Learn how to subtract fractions and calculate the remaining water, suitable for students in grades 6-8.

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