Ask a New Question
Menu

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

7/20 simplest form

1 answer

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 \( \frac{9}{5} \).