Let's start by adding the fractions \( \frac{9}{20} + \frac{7}{20} \):
\[ \frac{9}{20} + \frac{7}{20} = \frac{9 + 7}{20} = \frac{16}{20} \]
Now, let's simplify \( \frac{16}{20} \):
\[ \frac{16}{20} = \frac{16 \div 4}{20 \div 4} = \frac{4}{5} \]
Now we can check which of the options equals \( \frac{4}{5} \) or is equivalent to \( \frac{16}{20} \).
- A: \( \frac{4}{5} \) (This is equal to \( \frac{4}{5} \))
- B: \( \frac{16}{40} \) (Simplifying \( \frac{16}{40} \): \[ \frac{16 \div 8}{40 \div 8} = \frac{2}{5} , \text{(Not equal)} \])
- C: \( \frac{4}{10} \) (Simplifying \( \frac{4}{10} \): \[ \frac{4 \div 2}{10 \div 2} = \frac{2}{5} , \text{(Not equal)} \])
- D: \( \frac{16}{20} \) (This is equal to \( \frac{16}{20} \))
Hence, the simplified form of \( \frac{9}{20} + \frac{7}{20} \) is \( \frac{4}{5} \), and the options that match are:
- A: \( \frac{4}{5} \)
- D: \( \frac{16}{20} \)