Math Snap

STEP 1

1. The given ratio is $8:36$.
2. We need to rewrite this ratio in the form $1:n$.
3. The value of $n$ should be rounded to one decimal place if necessary.

STEP 2

1. Simplify the given ratio.
2. Convert the simplified ratio to the form $1:n$.
3. Round the value of $n$ to one decimal place if needed.

STEP 3

Simplify the ratio $8:36$ by finding the greatest common divisor (GCD) of 8 and 36.
The GCD of 8 and 36 is 4.

STEP 4

Divide both terms of the ratio by the GCD to simplify it.
$$\frac{8}{4} : \frac{36}{4} = 2 : 9$$

STEP 5

Convert the simplified ratio $2:9$ to the form $1:n$.
Divide both sides of the ratio by 2.
$$\frac{2}{2} : \frac{9}{2} = 1 : 4.5$$

Round the value of $n$ to one decimal place if necessary.
The value of $n$ is already at one decimal place: $4.5$.
The equivalent ratio in the form $1:n$ is:
$$1 : 4.5$$