Question

Write a ratio, in simplest form, that compares two quantities(show your work) 3 years to 6 months

Answer 1

Answer:
The ratio is 6 : 1

Explanation:
To find the ratio, we first need to make the units consistent.
I will convert all units to "months"

we know that one year has 12 months, therefore:
3 years = 3 * 12 = 36 months
6 months is simply equal to 6 months

Now, to get the ratio, we will simply divide the two quantities and simplify as follows:
36 months to 6 months = $\frac{36 months}{6months}$ = $\frac{36}{6}$ = $\frac{6}{1}$

Based on the above, the ratio is 6:1

Hope this helps :)

Answer 2

Answer:  The simplest form of the ratio is 6 : 1.

Step-by-step explanation:  We are given to write a ratio in simplest form that compares the the following two quantities:

3 years to 6 months.

We know that

$\textup{1 year}=\textup{12 months}.\\\\\therefore \textup{3 years}=12\times 3=36~\textup{months}.$

Therefore, the required ratio is

$36~\textup{months}:6~\textup{months}\\\\=\dfrac{36}{6}\\\\\\=\dfrac{6}{1}\\\\\\=6:1.$

Thus, the simplest form of the ratio is 6 : 1.