Questions: Write in lowest terms: 12/30.

Write in lowest terms: 12/30.
Transcript text: Write in lowest terms: $\frac{12}{30}$.
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Solution

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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 \(\boxed{\frac{2}{5}}\).

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