Express this ratio in its simplest form

$6:72

Divide each number by 6.

6:72 = 1:12

To express the ratio $6:72$ in its simplest form, you need to find the greatest common divisor (GCD) of the two numbers and divide both numbers by this divisor.

Step 1: Find the GCD of 6 and 72.
The factors of 6 are 1, 2, 3, and 6.
The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72.
The common factors are 1, 2, 3, and 6.
The greatest common divisor is 6.

Step 2: Divide both numbers by the GCD.
Dividing 6 by 6 gives 1.
Dividing 72 by 6 gives 12.

Therefore, the ratio $6:72$ in its simplest form is $1:12$.

To express the ratio $6:72$ in its simplest form, you need to find the greatest common divisor (GCD) of the two numbers and divide both the numerator and the denominator by it.

Step 1: Find the GCD
The GCD of 6 and 72 is 6.

Step 2: Divide both numerator and denominator by the GCD
Divide 6 by 6: $6 ÷ 6 = 1$
Divide 72 by 6: $72 ÷ 6 = 12$

Therefore, the simplified ratio is $1:12$.