To add the fractions $\frac{1}{4}$ and $\frac{7}{20}$, follow these steps:

1. Find a common denominator:
   The denominators are 4 and 20. The least common multiple (LCM) of 4 and 20 is 20.

2. Convert each fraction to have the common denominator:

   • For $\frac{1}{4}$:
     Multiply both the numerator and the denominator by 5 to get $\frac{5}{20}$.
   • For $\frac{7}{20}$:
     The fraction already has the denominator 20, so it stays $\frac{7}{20}$.

3. Add the fractions:
   Now that both fractions have the same denominator, add the numerators: $\frac{5}{20} + \frac{7}{20} = \frac{5 + 7}{20} = \frac{12}{20}$

4. Simplify the fraction:
   Simplify $\frac{12}{20}$ by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 4: $\frac{12 \div 4}{20 \div 4} = \frac{3}{5}$

So, $\frac{1}{4} + \frac{7}{20} = \frac{3}{5}$.

Would you like more details or have any questions?

Here are some related questions you might find interesting:

1. How do you find the LCM of two numbers?
2. How can you add fractions with different denominators?
3. How do you simplify fractions?
4. What is the process for subtracting fractions with unlike denominators?
5. How do you convert mixed numbers into improper fractions?

Tip: Always simplify fractions by dividing the numerator and the denominator by their GCD for the simplest form.