Questions: Find a common numerator to compare the fractions. Use <,>, or =. 2/9 ○ 8/12

Solution Steps

To compare the fractions \(\frac{2}{9}\) and \(\frac{8}{12}\), we can find a common numerator. This involves finding equivalent fractions for both with the same numerator and then comparing the denominators. Alternatively, we can convert both fractions to decimals and compare them directly.

We have the fractions: \[ \frac{2}{9} \quad \text{and} \quad \frac{8}{12} \] First, we simplify \(\frac{8}{12}\): \[ \frac{8}{12} = \frac{2}{3} \]

Next, we convert both fractions to decimal form: \[ \frac{2}{9} \approx 0.2222 \quad \text{and} \quad \frac{2}{3} \approx 0.6667 \]

Now, we compare the two decimal values: \[ 0.2222 < 0.6667 \] This indicates that \(\frac{2}{9} < \frac{2}{3}\).

Final Answer