We know that if 9 ohm resistance will cut into three equal parts then it will be each of 3 ohm.
For parallel combinations
1/R=1/3+1/3+1/3
1/R=3/3=1
R=1

**Problem Statement:**
A 9-ohm resistance is cut into three equal parts and connected in parallel. Find the equivalent resistance of the combination.

**Solution:**
To solve this problem, we need to understand the concept of resistors in parallel and their equivalent resistance.

**Resistors in Parallel:**
When resistors are connected in parallel, the total resistance of the combination is less than the individual resistances. In parallel, the voltage across each resistor is the same, but the current divides among the resistors.

**Equivalent Resistance of Resistors in Parallel:**
The equivalent resistance of resistors in parallel can be calculated using the formula:

1/Req = 1/R1 + 1/R2 + 1/R3 + ...

Where Req is the equivalent resistance and R1, R2, R3, ... are the individual resistances connected in parallel.

**Step 1:**
The given resistance is 9 ohms. We need to cut it into three equal parts.

**Step 2:**
To find the resistance of each part, we divide the given resistance by 3.
Resistance of each part = 9 ohms / 3 = 3 ohms.

**Step 3:**
Now, we need to calculate the equivalent resistance of the three resistors connected in parallel.

Using the formula 1/Req = 1/R1 + 1/R2 + 1/R3, we substitute the values:
1/Req = 1/3 + 1/3 + 1/3

**Step 4:**
Adding the fractions, we get:
1/Req = 3/3

**Step 5:**
Simplifying the equation, we have:
1/Req = 1

**Step 6:**
To find Req, we take the reciprocal of both sides:
Req = 1/1 = 1 ohm.

**Step 7:**
Therefore, the equivalent resistance of the combination is 1 ohm.

**Conclusion:**
The equivalent resistance of the combination of three 3-ohm resistors connected in parallel is 1 ohm. This means that if we replace the three resistors with a single resistor of 1 ohm, the total resistance in the circuit will remain the same.