Find the ratio in simplest form is 8 months to 2 years.

Answer

To find the ratio of 8 months to 2 years in its simplest form, follow these steps:

### Step 1: Convert years to months
First, we need to convert 2 years into months. We know that:
1 year = 12 months

So, for 2 years:
\[ 2 \text{ years} = 2 \times 12 \text{ months} = 24 \text{ months} \]

### Step 2: Write the ratio
Now we can express the ratio of 8 months to 24 months:
\[ \text{Ratio} = \frac{8 \text{ months}}{24 \text{ months}} \]

### Step 3: Simplify the ratio
Next, we simplify the fraction \(\frac{8}{24}\). We can do this by finding the greatest common divisor (GCD) of 8 and 24, which is 8. Now we divide both the numerator and the denominator by 8:
\[ \frac{8 \div 8}{24 \div 8} = \frac{1}{3} \]

### Step 4: Write the final ratio
The simplified ratio of 8 months to 2 years is:
\[ 1 : 3 \]

### Final Answer
Thus, the ratio in simplest form is \(1 : 3\).

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