What is the some of the fractions in simplest form 9/20 + 7/20 A 4/5 B 16/40 C 4/10 D 16 / 20

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
3 hours ago

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 \( \frac{16}{20} \).

1. **A: \( \frac{4}{5} \)** (This is equal to \( \frac{4}{5} \))
2. **B: \( \frac{16}{40} \)** (Simplifying \( \frac{16}{40} \):
\[
\frac{16 \div 8}{40 \div 8} = \frac{2}{5} \, \text{(Not equal)}
\])
3. **C: \( \frac{4}{10} \)** (Simplifying \( \frac{4}{10} \):
\[
\frac{4 \div 2}{10 \div 2} = \frac{2}{5} \, \text{(Not equal)}
\])
4. **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: \( \frac{16}{20} \)