Reciprocal of 3/6

To find the reciprocal of a fraction, we need to invert the fraction by swapping the numerator and the denominator.

Step 1: Determine the given fraction
The given fraction is 3/6.

Step 2: Invert the fraction
To find the reciprocal, we need to flip the fraction. The reciprocal of 3/6 is obtained by swapping the numerator and the denominator. Therefore, the reciprocal of 3/6 is 6/3.

Step 3: Simplify the reciprocal
To simplify the reciprocal, we can divide both the numerator and the denominator by their greatest common divisor (GCD).

Greatest Common Divisor (GCD)
The greatest common divisor (GCD) of two numbers is the largest number that divides both of them without leaving a remainder.

Step 4: Find the GCD of 6 and 3
The factors of 6 are 1, 2, 3, and 6.
The factors of 3 are 1 and 3.
The common factor between 6 and 3 is 3.

Step 5: Divide both the numerator and the denominator by the GCD
Dividing both the numerator and the denominator by the GCD (3), we get:

6 ÷ 3 / 3 ÷ 3 = 2/1

Step 6: Simplified reciprocal
The simplified reciprocal of 3/6 is 2/1, which can also be written as just 2.

Summary:
The reciprocal of 3/6 is 2.

Reciprocal of 3/6 is 6/3