Solve the Ratio Problem: Converting 1.5:200 to Simplified Form

To solve the given problem, we need to divide the decimal number $1.5$ by $200$.

• Step 1: Understand the problem setup as $1.5 \div 200$.
• Step 2: Perform the division.

Let's interpret $1.5$ as the fraction $\frac{15}{10}$ to assist with division:

Rewriting the division, we have:

$\frac{1.5}{200} = \frac{\frac{15}{10}}{200} = \frac{15}{2000}$

Step 3: Now we divide $15$ by $2000$.

First, set up the division: $15 \div 2000$. This is equivalent to finding: $\frac{15}{2000}$.

Perform the division plant normally or using a calculator:

1. Start by noting the decimal point position. $15.000 \div 2000$ essentially. Perform one digit at a time if manual.

2. You calculate $\frac{15}{2000} = 0.0075$ accurately. Be critical with decimal placement!

Therefore, the quotient of dividing $1.5$ by $200$ is $0.0075$.

Hence, the correct answer is $0.0075$, which corresponds to choice $2$.