Transcript text: Write in lowest terms: $\frac{12}{30}$.
Solution
Solution Steps
To simplify the fraction \(\frac{12}{30}\) to its lowest terms, we need to find the greatest common divisor (GCD) of the numerator and the denominator. We then divide both the numerator and the denominator by their GCD to get the simplified fraction.
Step 1: Find the GCD
To simplify the fraction \(\frac{12}{30}\), we first find the greatest common divisor (GCD) of the numerator (12) and the denominator (30). The GCD is calculated to be 6.
Step 2: Simplify the Fraction
Next, we divide both the numerator and the denominator by the GCD. Thus, we have:
\[
\frac{12 \div 6}{30 \div 6} = \frac{2}{5}
\]
Final Answer
The fraction \(\frac{12}{30}\) in lowest terms is \(\boxed{\frac{2}{5}}\).