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

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

1. Convert \( 1 \frac{7}{20} \):
\[
1 \frac{7}{20} = \frac{20 \cdot 1 + 7}{20} = \frac{20 + 7}{20} = \frac{27}{20}
\]

2. Now we can add the two fractions:
\[
\frac{9}{20} + \frac{27}{20}
\]

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

3. To simplify \( \frac{36}{20} \), we can divide both the numerator and the denominator by their greatest common divisor (gcd), which is 4:
\[
\frac{36 \div 4}{20 \div 4} = \frac{9}{5}
\]

Therefore, the sum of the fractions \( \frac{9}{20} + 1 \frac{7}{20} \) is:
\[
\frac{9}{5}
\]