Convert Fraction to Decimal: Solving 105/1000 Step by Step

To convert the fraction $\frac{105}{1000}$ to a decimal, note that the denominator, 1000, is $10^3$, which means we need to move the decimal point three places to the left in the numerator.

Let's break it down:

• Start with the numerator, 105, which can be viewed as 105.0 for clarity.
• Since the denominator is 1000, move the decimal three places to the left: $105.0 \rightarrow 10.5 \rightarrow 1.05 \rightarrow 0.105$

This places the decimal correctly according to the denominator's power of ten.

Therefore, the decimal representation of $\frac{105}{1000}$ is 0.105.