To add fractions with different denominators, you'll need to follow a few steps:

Steps to Add Fractions with Different Denominators:

1. Find a common denominator: The denominators of the fractions need to be the same to add them. You can find a common denominator by determining the Least Common Denominator (LCD). The LCD is usually the least common multiple (LCM) of the two denominators.

2. Adjust the fractions: Once you know the LCD, adjust both fractions so they have this denominator by multiplying both the numerator and denominator of each fraction by the necessary value.

3. Add the numerators: After adjusting the fractions, add the numerators together. Keep the common denominator the same.

4. Simplify: If needed, simplify the result by reducing the fraction to its lowest terms.

Example:

Let’s say you want to add $\frac{1}{4}$ and $\frac{1}{6}$.

1. Find the common denominator:

   • The denominators are 4 and 6.
   • The LCM of 4 and 6 is 12.

2. Adjust the fractions:

   • For $\frac{1}{4}$, multiply both the numerator and denominator by 3 to get $\frac{3}{12}$.
   • For $\frac{1}{6}$, multiply both the numerator and denominator by 2 to get $\frac{2}{12}$.

3. Add the numerators: $\frac{3}{12} + \frac{2}{12} = \frac{5}{12}$

So, $\frac{1}{4} + \frac{1}{6} = \frac{5}{12}$.

Would you like to see more examples or need clarification on any part of this?

Here are 5 follow-up questions:

1. How do you find the LCM of two numbers?
2. What happens if the fractions already have the same denominator?
3. How do you simplify fractions after adding them?
4. Can you add mixed numbers with different denominators?
5. How do you subtract fractions with different denominators?

Tip: When looking for a common denominator, always aim for the least common denominator (LCD) to keep the numbers smaller and the calculations easier!