Question

1. $8\frac{2}{3} \bigcirc \frac{25}{3}$

Explanation:

Step1: Convert mixed number to improper fraction

To convert \( 8\frac{2}{3} \) to an improper fraction, we use the formula: \( \text{whole number} \times \text{denominator} + \text{numerator} \) over the denominator. So, \( 8\times3 + 2 = 24 + 2 = 26 \). Thus, \( 8\frac{2}{3}=\frac{26}{3} \).

Step2: Compare the two fractions

Now we compare \( \frac{26}{3} \) and \( \frac{25}{3} \). Since the denominators are the same, we compare the numerators. \( 26>25 \), so \( \frac{26}{3}>\frac{25}{3} \), which means \( 8\frac{2}{3}>\frac{25}{3} \).

Answer:

\( > \)