To determine which of the given options corresponds to the ratio 36:12 in its simplest form, follow these steps:
1. Write down the given ratio:
We are given the ratio 36:12.
2. Identify the greatest common divisor (GCD):
To simplify the ratio, we need to divide both the numerator (36) and the denominator (12) by their greatest common divisor. The greatest common divisor of 36 and 12 is 12.
3. Divide both terms by the GCD:
- Divide the numerator by 12:
[tex]\[
\frac{36}{12} = 3
\][/tex]
- Divide the denominator by 12:
[tex]\[
\frac{12}{12} = 1
\][/tex]
4. Simplify the ratio:
After dividing both the numerator and the denominator by 12, we get the simplified ratio:
[tex]\[
3:1
\][/tex]
5. Match the simplified ratio with the given options:
The simplified ratio 3:1 matches option B.
Therefore, the ratio 36:12 in its simplest form is the same as:
O B. 3:1
