What is the sum of the fractions 9/20 + 1

To find the sum of \( \frac{9}{20} + 1\frac{7}{20} \), we first need to convert the mixed number \( 1\frac{7}{20} \) into an improper fraction.

1. Convert the mixed number:
\[
1\frac{7}{20} = 1 + \frac{7}{20} = \frac{20}{20} + \frac{7}{20} = \frac{27}{20}
\]

2. Now, we have:
\[
\frac{9}{20} + \frac{27}{20}
\]

3. Since both fractions have the same denominator, we can simply add the numerators:
\[
\frac{9 + 27}{20} = \frac{36}{20}
\]

4. Next, we simplify \( \frac{36}{20} \). The greatest common divisor (GCD) of 36 and 20 is 4:
\[
\frac{36 \div 4}{20 \div 4} = \frac{9}{5}
\]

Thus, the sum of the fractions \( \frac{9}{20} + 1\frac{7}{20} \) in simplest form is \( \frac{9}{5} \).