1. How can you determine if two fractions with unlike denominators can be added or require a common denominator? Explain your reasoning.
2. You are given the fractions 3/4 and 5/8. Show the step-by-step work to add these fractions using a common denominator. Explain how using a common denominator allows you to add the fractions.
3. Juan claims he can simply add the numerators and denominators when adding fractions. For example, he would calculate 3/4 + 5/8 as 8/12. Explain why Juan's method is incorrect and why using a common denominator is