Simplify the Fraction: Reducing 30/150 to Lowest Terms

To convert the fraction $\frac{30}{150}$ into a decimal, let's follow these steps:

• Step 1: Simplify the fraction $\frac{30}{150}$ by finding the greatest common divisor (GCD) of 30 and 150, which is 30.
• Step 2: Divide both the numerator and the denominator by the GCD. So, $\frac{30}{150} = \frac{30 \div 30}{150 \div 30} = \frac{1}{5}$.
• Step 3: Convert the simplified fraction $\frac{1}{5}$ to a decimal by performing the division 1 divided by 5.

Now let's do the division:
Step 3: $\frac{1}{5} = 0.2$. Performing the division gives 0.2 as the result.

Therefore, the solution to the problem is $0.2$.