Let's convert each fraction to a decimal and determine whether it is a repeating or terminating decimal:

1. $\frac{1}{3} = 0.\overline{3}$ (Repeating)
2. $\frac{2}{5} = 0.4$ (Terminating)
3. $\frac{5}{12} = 0.41666\ldots$ (Repeating)
4. $\frac{6}{10} = 0.6$ (Terminating)
5. $\frac{7}{9} = 0.\overline{7}$ (Repeating)
6. $\frac{3}{15} = 0.2$ (Terminating)

Based on these conversions:

Repeating:

• $\frac{1}{3}$
• $\frac{5}{12}$
• $\frac{7}{9}$

Terminating:

• $\frac{2}{5}$
• $\frac{6}{10}$
• $\frac{3}{15}$

Would you like any more details or have any questions about these conversions?

Here are 5 questions you might want to ask next:

1. How do you identify if a fraction will have a repeating or terminating decimal?
2. Can you explain why some fractions have repeating decimals?
3. How can I convert other fractions to decimals?
4. What are some examples of fractions with terminating decimals?
5. Can you provide a method for determining if a fraction will terminate or repeat?

Tip: When converting a fraction to a decimal, if the denominator (after simplifying) has only the prime factors 2 or 5, it will be a terminating decimal. Otherwise, it will be repeating.